Log24

Friday, December 13, 2019

Apollo’s 13 Revisited

Filed under: General — Tags: — m759 @ 12:59 am

IMAGE- The 13 symmetry axes of the cube

(Adapted from Encyclopaedia Britannica,
 Eleventh Edition (1911), Crystallography .)

Sunday, August 19, 2018

Apollo and the Furies

Filed under: General — m759 @ 1:40 am

Narration by the fictional schoolgirl Pagan Moore in a novel
apparently first published on March 4, 2004

"Now, can anyone else tell me or shall I ask Miss Moore again to help us out?” 

“Apollo is a symbol for the male, the rational, the young, and the civilized. The Furies represent the female, the violent, the old, and the primal. Aeschylus captures a mythical moment in history, one in which the world was torn between a savage and archaic past and the bold new order of Greek civilization, the young Olympian gods, and rationality. The difficulty of the struggle between these two worlds is dramatized by the cycle of violence in the House of Atreus and the clash between Apollo and the Furies.” 

No one giggled after Dank finished.

Existence  (first novel of a trilogy), pp. 80-81.
By Abbi Glines. Kindle Edition.

Update at 1:37 PM ET the same day —

A check for the source of the above speech yields

"Apollo is a symbol for the male, the rational, the young, and the civilized.
The Furies represent the female, the violent, the old, and the primal."

This passage is from
https://www.gradesaver.com/the-eumenides/study-guide/themes.
From the citation data there —
"By Borey, Eddie. 'The Eumenides Themes.'
GradeSaver, 24 October 2000 Web."

Tuesday, July 26, 2016

Installation: Area 51 Meets Apollo

Filed under: General — m759 @ 6:45 pm

Ben Lerner on Judd's art at Marfa

"as if the installation were waiting to be visited
 by an alien or god" — 10:04: A Novel

Oslo artist Josefine Lyche's public Instagram today

See also Space (May 13, 2015).

Wednesday, October 9, 2013

To Apollo*

Filed under: General — Tags: — m759 @ 1:06 pm

From Log24

From Josefine Lyche's website —

* For the title, see Apollo + Outram in this journal.

 

Saturday, July 9, 2011

Blessings from the Apollo

Filed under: General — m759 @ 4:13 am

Part I, Midday —

Yesterday's midday NY Lottery "689" suggests (from April 3, 2005)—

689 IMAGE- Chinese character 'Fu' [fú] blessing, good fortune

IMAGE- Strokes of the Chinese Character 'Fu'

   Diagram taken from R. Sing,
  “Chinese New Year’s Dragon Teacher’s Guide”

— and the 4-digit midday number suggests a NASA Picture of the Day
     that was published (not taken) on 7795 (7/7/95)—

http://www.log24.com/log/pix11B/110709-LunarFarsideByApollo13.jpg

Part II, Evening —

Suggested by yesterday's evening NY Lottery "068"
and by Weltschmerz  and the Ursprache

http://www.log24.com/log/pix11B/110709-Benjamin68.gif

— Walter Benjamin, “On Language as Such and On the Language of Man”  (1916),
Edmund Jephcott, tr., Walter Benjamin, Selected Writings, Volume I:  1913-1926  ,
Marcus Bullock and Michael W. Jennings, eds., Cambridge, MA,
Harvard University Press, 1996, pp. 62-74. The above is page 68.

A more entertaining meditation is suggested by yesterday's 4-digit evening NY number—
a video tribute to a song said to have been released as a single on 7383 (7/3/83)—

http://www.log24.com/log/pix11B/110709-HumanNature.jpg

Related material— "Dark Side of the Moon" in this journal.

Friday, May 13, 2011

Apollo’s 13

Filed under: General,Geometry — Tags: — m759 @ 6:36 am

Continued … See related previous posts.

IMAGE- The 13 symmetry axes of the cube

Those who prefer narrative to mathematics
may consult Wikipedia on The Cosmic Cube.

Monday, April 25, 2011

The Apollo* Meme

Filed under: General — m759 @ 9:00 pm

In the May Smithsonian  magazine— "What Defines a Meme?"

Related — Seven is Heaven

Seven is Heaven...

* For the connection to Apollo, see Oct. 9, 2006.

Sunday, June 27, 2010

Sunday at the Apollo

Filed under: General,Geometry — m759 @ 9:00 pm
 

27

 

The 13 symmetry axes of the (Euclidean) cube–
exactly one axis for each pair of opposite
  subcubes in the 27-part (Galois) 3×3×3 cube–

The 13 symmetry axes of the cube

Wednesday, January 27, 2010

To Apollo

Filed under: General,Geometry — m759 @ 9:00 am

Yesterday's post may, if one likes, be regarded
  as a nod to Dionysus, god of tragedy.

Here is a complementary passage:

Nietzsche on Heraclitus and the 'play of fire with itself'

Related material:
Jung and the Imago Dei

Friday, April 12, 2024

Carmel Review

Filed under: General — Tags: , , — m759 @ 3:08 pm

"Clint Eastwood, 93, appears frail but spirited
as he is seen in rare public appearance at
primatologist Dr. Jane Goodall event in Carmel"

— By Karen Ruiz For Dailymail.com
Published: 10:39 am EDT, 12 April 2024

The event, on Sunday, March 24, 2024, suggests a review —

 

'In the end the space itself is the star'— Gia Kourlas

Sunday, March 24, 2024

The Clooney Omega

Filed under: General — Tags: — m759 @ 10:04 am

From a post of May 13, 2015 —

Friday, March 22, 2024

Banana Republic* Ghost Song

Filed under: General — Tags: — m759 @ 11:25 am

 

*

D-Day 2018

Filed under: General — Tags: — m759 @ 12:00 am

"If it's a seamless whole you want, pray to Apollo."

Margaret Atwood on tricksters.

Friday, June 30, 2023

Trickster Fuge (German for Joint)

Filed under: General — Tags: , , — m759 @ 12:28 pm
 

Margaret Atwood on Lewis Hyde's 
Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

Pythagorean theorem proof by overlapping similar figures

"Drop me a line" — Request attributed to Emma Stone

Saturday, June 3, 2023

Space Drama

Filed under: General — m759 @ 12:29 pm

"It seems fitting that a handsome, professional and future-minded
space drama in fine color, like 'Marooned,' should open a new
jewel box of a theater, the Ziegfeld."

— Howard Thompson in The New York Times , Dec. 19, 1969

A related film tells of a real-life April 1970 sequel 
to the 1969 film "Marooned."

Then there is my own "jewel box" picture with three horses . . .

Sunday, January 2, 2022

Plan 9 Sermon

Filed under: General — m759 @ 10:51 am

http://m759.net/wordpress/?s="October+9"+Apollo

Tuesday, August 10, 2021

Ex Fano Apollinis

Filed under: General — Tags: , , , , — m759 @ 9:41 am
 

Margaret Atwood on Lewis Hyde's 
Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.


"As a Chinese jar . . . ."
     — Four Quartets

 

Rosalind Krauss
in "Grids," 1979:

"If we open any tract– Plastic Art and Pure Plastic Art  or The Non-Objective World , for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter.  They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.

Or, to take a more up-to-date example…."

"He was looking at the nine engravings and at the circle,
checking strange correspondences between them."
– The Club Dumas , 1993

"And it's whispered that soon if we all call the tune
Then the piper will lead us to reason."
– Robert Plant, 1971

The nine engravings of The Club Dumas
(filmed as "The Ninth Gate") are perhaps more
an example of the concrete than of the universal.

An example of the universal— or, according to Krauss,
a "staircase" to the universal— is the ninefold square:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo,
  the field of Reason…."
– John Outram, architect    

The "Katz" of the August 7 post Art Angles
is a product of Princeton's
Department of Art and Archaeology.

 

ART —

 

The Lo Shu as a Finite Space
 

ARCHAEOLOGY —

IMAGE- Herbert John Ryser, 'Combinatorial Mathematics' (1963), page 1

IMAGE- The 3x3 ('ninefold') square as Chinese 'Holy Field'

"This pattern is a square divided into nine equal parts.
It has been called the 'Holy Field' division and
was used throughout Chinese history for many
different purposes, most of which were connected
with things religious, political, or philosophical."

– The Magic Square: Cities in Ancient China,
by Alfred Schinz, Edition Axel Menges, 1996, p. 71

Thursday, June 24, 2021

Persons of Interest

Filed under: General — Tags: — m759 @ 5:21 pm

Margaret Atwood on Lewis Hyde's 
Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

Punch Line . . .

Wrap Party!

Tuesday, May 4, 2021

Search Detail

Filed under: General — Tags: — m759 @ 2:01 am

If it’s a seamless whole you want, pray to Apollo.

And if it’s not? . . .

Compare and contrast:  Ex Fano .

Friday, April 23, 2021

“And . . . Cut!”

Filed under: General — Tags: — m759 @ 7:45 pm

The title is a line spoken by an independent film maker
in “The Big Bang” . . . which opened in limited theaters
on May 13, 2011.

Also on May 13, 2011 —

 

Saturday, October 24, 2020

Grids

Filed under: General — Tags: — m759 @ 9:00 am

Wikipedia on what has been called “the doily” —

“The smallest non-trivial generalized quadrangle
is GQ(2,2), whose representation* has been dubbed
‘the doily’ by Stan Payne in 1973.”

A later publication relates the doily to grids.

From Finite Generalized Quadrangles , by Stanley E. Payne
and J. A. Thas, December 1983, at researchgate.net, pp. 81-82—

“Then the lines … define a 3×3 grid G  (i.e. a grid
consisting of 9 points and 6 lines).”
. . . .
“So we have shown that the grid G  can completed [sic ]
in a unique way to a grid with 8 lines and 16 points.”
. . . .
“A 4×4 grid defines a linear subspace
of  the 2−(64,4,1) design, i.e. a 4×4 grid
together with the affine lines on it is AG(2,4).”

A more graphic approach from this journal —

Seven is Heaven...

Click the image for further details.

* This wording implies that GQ(2,2) has a unique
visual representation. It does not. See inscape .

Saturday, February 29, 2020

Template

Filed under: General — Tags: , — m759 @ 1:00 pm
 

Roberta Smith on Donald Judd’s
ARTnews Writings:
‘A Great Template for Criticism’ 

BY ALEX GREENBERGER

February 28, 2020 1:04pm

If Minimalist artist Donald Judd is known as a writer at all, it’s likely for one important text— his 1965 essay “Specific Objects,” in which he observed the rise of a new kind of art that collapsed divisions between painting, sculpture, and other mediums. But Judd was a prolific critic, penning shrewd reviews for various publications throughout his career—including ARTnews . With a Judd retrospective going on view this Sunday at the Museum of Modern Art in New York, ARTnews  asked New York Times  co-chief art critic Roberta Smith— who, early in her career, worked for Judd as his assistant— to comment on a few of Judd’s ARTnews  reviews. How would she describe his critical style? “In a word,” she said, “great.” . . . .

 

And then there is Temple Eight, or Ex Fano Apollinis —

'Ex Fano Apollinis'- Fano plane, eightfold cube, and the two combined.

Cicero, In Verrem  II. 1. 46 —

He reached Delos. There one night he secretly   46 
carried off, from the much-revered sanctuary of 
Apollo, several ancient and beautiful statues, and 
had them put on board his own transport. Next 
day, when the inhabitants of Delos saw their sanc- 
tuary stripped of its treasures, they were much 
distressed . . . .
Delum venit. Ibi ex fano Apollinis religiosissimo 
noctu clam sustulit signa pulcherrima atque anti- 
quissima, eaque in onerariam navem suam conicienda 
curavit. Postridie cum fanum spoliatum viderent ii 
qui Delum incolebant, graviter ferebant . . . .

Monday, February 17, 2020

RIP Charles Portis

Filed under: General — Tags: , — m759 @ 4:04 pm

     See also "True Grid " in this  journal.

Rosalind Krauss
in "Grids," 1979:

"If we open any tract– Plastic Art and Pure Plastic Art  or The Non-Objective World , for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter.  They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.

Or, to take a more up-to-date example…."

"He was looking at the nine engravings and at the circle,
checking strange correspondences between them."
– The Club Dumas , 1993

"And it's whispered that soon if we all call the tune
Then the piper will lead us to reason."
– Robert Plant, 1971

The nine engravings of The Club Dumas
(filmed as "The Ninth Gate") are perhaps more
an example of the concrete than of the universal.

An example of the universal— or, according to Krauss,
a "staircase" to the universal— is the ninefold square:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo, the field of Reason…."
– John Outram, architect    

See as well . . .

Monday, March 25, 2019

Espacement

(Continued from the previous post.)

In-Between "Spacing" and the "Chôra "
in Derrida: A Pre-Originary Medium?

By Louise Burchill

(Ch. 2 in Henk Oosterling & Ewa Plonowska Ziarek (Eds.),  Intermedialities: Philosophy, Arts, Politics , Lexington Books, October 14, 2010)

"The term 'spacing' ('espacement ') is absolutely central to Derrida's entire corpus, where it is indissociable from those of différance  (characterized, in the text from 1968 bearing this name, as '[at once] spacing [and] temporizing' 1), writing  (of which 'spacing' is said to be 'the fundamental property' 2) and deconstruction (with one of Derrida's last major texts, Le Toucher: Jean-Luc Nancy , specifying 'spacing ' to be 'the first word of any deconstruction' 3)."

1  Jacques Derrida, “La Différance,” in Marges – de la philosophie  (Paris: Minuit, 1972), p. 14. Henceforth cited as  D  .

2  Jacques Derrida, “Freud and the Scene of Writing,” trans. A. Bass, in Writing and  Difference  (Chicago: University of Chicago Press, 1978), p. 217. Henceforth cited as FSW .

3  Jacques Derrida, Le Toucher, Jean-Luc Nancy  (Paris: Galilée, 2000), p. 207.

. . . .

"… a particularly interesting point is made in this respect by the French philosopher, Michel Haar. After remarking that the force Derrida attributes to différance  consists simply of the series of its effects, and is, for this reason, 'an indefinite process of substitutions or permutations,' Haar specifies that, for this process to be something other than a simple 'actualisation' lacking any real power of effectivity, it would need “a soubassement porteur ' – let’s say a 'conducting underlay' or 'conducting medium' which would not, however, be an absolute base, nor an 'origin' or 'cause.' If then, as Haar concludes, différance  and spacing show themselves to belong to 'a pure Apollonism' 'haunted by the groundless ground,' which they lack and deprive themselves of,16 we can better understand both the threat posed by the 'figures' of space and the mother in the Timaeus  and, as a result, Derrida’s insistent attempts to disqualify them. So great, it would seem, is the menace to différance  that Derrida must, in a 'properly' apotropaic  gesture, ward off these 'figures' of an archaic, chthonic, spatial matrix in any and all ways possible…."

16  Michel Haar, “Le jeu de Nietzsche dans Derrida,” Revue philosophique de la France et de l’Etranger  2 (1990): 207-227.

. . . .

… "The conclusion to be drawn from Democritus' conception of rhuthmos , as well as from Plato's conception of the chôra , is not, therefore, as Derrida would have it, that a differential field understood as an originary site of inscription would 'produce' the spatiality of space but, on the contrary, that 'differentiation in general' depends upon a certain 'spatial milieu' – what Haar would name a 'groundless ground' – revealed as such to be an 'in-between' more 'originary' than the play of differences it in-forms. As such, this conclusion obviously extends beyond Derrida's conception of 'spacing,' encompassing contemporary philosophy's continual privileging of temporization in its elaboration of a pre-ontological 'opening' – or, shall we say, 'in-between.'

For permutations and a possible "groundless ground," see
the eightfold cube and group actions both on a set of eight
building blocks arranged in a cube (a "conducting base") and
on the set of seven natural interstices (espacements )  between
the blocks. Such group actions provide an elementary picture of
the isomorphism between the groups PSL(2,7) (acting on the
eight blocks) and GL(3,2) (acting on the seven interstices).

Espacements
 

For the Church of Synchronology

See also, from the reported publication date of the above book
Intermedialities , the Log24 post Synchronicity.

Friday, February 15, 2019

A Simple Interlacing

Filed under: General — m759 @ 1:07 pm

Paul Valéry, "Introduction to the Method of Leonardo da Vinci,"
La Nouvelle Revue , Paris, Vol. 95 (1895)—

"Regarded thus, the ornamental conception is to the individual arts
what mathematics is to the other sciences. …the objects chosen
and arranged with a view to a particular effect seem as if disengaged
from most of their properties and only reassume them in the effect,
in, that is to say, the mind of the detached spectator. It is thus
by means of an abstraction that the work of art can be constructed,
and is more or less easy to define according as the elements borrowed
from reality for it are more or less complex. Inversely it is by a sort of
induction, by the production of mental images, that all works of art are
appreciated, and this production must equally be more or less active,
more or less tiring, according as it is set in motion by a simple interlacing
on a vase or a broken phrase by Pascal."

— Translated by Thomas McGreevy (Valéry's Selected Writings,
     New Directions, 1950)

Related art —

Wednesday, December 12, 2018

An Inscape for Douthat

Some images, and a definition, suggested by my remarks here last night
on Apollo and Ross Douthat's remarks today on "The Return of Paganism" —

Detail of Feb. 20, 1986, note by Steven H. Cullinane on Weyl's 'relativity problem'

Kibler's 2008 'Variations on a theme' illustrated.

In finite geometry and combinatorics,
an inscape  is a 4×4 array of square figures,
each figure picturing a subset of the overall 4×4 array:


 

Related material — the phrase
"Quantum Tesseract Theorem" and  

A.  An image from the recent
      film "A Wrinkle in Time" — 

B.  A quote from the 1962 book —

"There's something phoney
in the whole setup, Meg thought.
There is definitely something rotten
in the state of Camazotz."

Tuesday, December 11, 2018

Review

Filed under: General — m759 @ 11:00 pm

See also a theater review of a Walpurgisnacht 2008
Brooklyn Academy of Music production —

The New York Times  on the Walpurgisnacht production —

"Specifically grim but never merely glum, the production fully taps
the self-conscious theatricality of the play ('I’m warming up for
my last soliloquy,' Hamm announces toward the end) without
letting us forget that its strange figures are appallingly real,
enacting a grotesque pantomime of humanity’s hungry need to
distract itself by wresting order, meaning and a sliver of satisfaction —
just one more sugarplum, please, or maybe a Vicodin — from
the formless, aimless, timeless nothingness of life."

— Charles Isherwood

Carried Away

Filed under: General — Tags: — m759 @ 7:00 am

"The word 'ablative' derives from the Latin ablatus ,
the (irregular) perfect passive participle of auferre 'to carry away'.[1]"

Etymology of 'profane'

Example —

See as well Cicero, In Verrem II. 1. 46

He reached Delos. There one night he secretly 46 
carried off, from the much-revered sanctuary of 
Apollo, several ancient and beautiful statues, and 
had them put on board his own transport. Next 
day, when the inhabitants of Delos saw their sanc- 
tuary stripped of its treasures, they were much 
distressed . . . .
Delum venit. Ibi ex fano Apollinis religiosissimo 
noctu clam sustulit signa pulcherrima atque anti- 
quissima, eaque in onerariam navem suam conicienda 
curavit. Postridie cum fanum spoliatum viderent ii 
qui Delum incolebant, graviter ferebant . . . .

Monday, August 20, 2018

Available Legend

Filed under: General — m759 @ 1:27 pm

http://www.log24.com/log/pix18/180820-Available_Legend-Philadelphia-July-2014-500w.jpg

http://www.log24.com/log/pix18/180820-Jessica_Jones-S2-E12-AKA_Playland.jpg

See also the recent post Apollo and the Furies.

Thursday, August 9, 2018

Drama Queen in Yellow Dress

Filed under: General — Tags: — m759 @ 9:09 pm

http://www.log24.com/log/pix18/180809-Jessica_Jones-S1-E10-ca-28-min-in-500w.jpg

Related literature —

  http://www.log24.com/log/pix18/180809-White_Horse_Wings-As-if.jpg

Related video —

(Recall, in light of the previous post, that
Apollo is the lord of the dance.)

The Girl in the Yellow Dress
(from the Broadway musical "Contact")

True Grids

Filed under: General,Geometry — Tags: , — m759 @ 7:59 pm

From a search in this journal for "True Grid,"
a fanciful description of  the 3×3 grid —

"This is the garden of Apollo,
the field of Reason…."
John Outram, architect    

A fanciful instance of the 4×2 grid in
a scene from the film "The Master" —

IMAGE- Joaquin Phoenix, corridor scene in 'The Master'

A fanciful novel referring to the number 8,
and a not -so-fanciful reference:

http://www.log24.com/log/pix18/180809-The_EIght-and-coordinates-for-PSL(2,7)-actions-500w.jpg

Illustrated above are Katherine Neville's novel The Eight  and the
"knight" coordinatization of the 4×2 grid from a page on the exceptional
isomorphism between PSL(3,2) (alias GL(3,2)) and PSL(2,7) — groups
of, respectively, degree 7 and degree 8.

Literature related to the above remarks on grids:

Ross Douthat's New York Times  column yesterday purported, following
a 1946 poem by Auden, to contrast students of the humanities with
technocrats by saying that the former follow Hermes, the latter Apollo.

I doubt that Apollo would agree.

Tuesday, February 13, 2018

A Titan of the Field

Filed under: General,Geometry — Tags: — m759 @ 9:45 am
 

On the late Cambridge astronomer Donald Lynden-Bell —

"As an academic at a time when students listened and lecturers lectured, he had the disconcerting habit of instead picking on a random undergraduate and testing them on the topic. One former student, now a professor, remembered how he would 'ask on-the-spot questions while announcing that his daughter would solve these problems at the breakfast table'.

He got away with it because he was genuinely interested in the work of his colleagues and students, and came to be viewed with great affection by them. He also got away with it because he was well established as a titan of the field."

The London Times  on Feb. 8, 2018, at 5 PM (British time)

Related material —

Two Log24 posts from yesteday, Art Wars and The Void.

See as well the field GF(9)

http://www.log24.com/log/pix12/120220-CoxeterFig10.jpg

and the 3×3 grid as a symbol of Apollo
    (an Olympian rather than a Titan) —

 .

Monday, October 9, 2017

Plan 9 Continues

Filed under: General — m759 @ 7:20 pm

From the posts of October 9 four years ago —

Saturday, April 15, 2017

Pip

Filed under: General — m759 @ 1:01 pm

The title is from a poem in The New Yorker  last December —

. . . pip trapped inside, god’s
knucklebone . . . .

The conclusion of yesterday's Google Image Search for Göpel Inscape

See also "Pray to Apollo" in this journal.

Tuesday, March 21, 2017

Special Topics

Filed under: General,Geometry — Tags: , — m759 @ 12:41 pm

A roundup of posts now tagged "Apollo Psi" led to the name
Evan Harris Walker in the post Dirac and Geometry of
Dec. 14, 2015. That post mentions

" Evan Harris Walker’s ingenious theory of
the psi force, a theory that assigned psi
both positive and negative values in such a way
that the mere presence of a skeptic in the near
vicinity of a sensitive psychic investigation could
force null results. Neat, Dr. Walker, thought
Peter Slater— neat, and totally without content."

— From the 1983 novel Broken Symmetries  
     by Paul Preuss 

It turns out that Walker died "on the evening of August 17, 2006." 

From this journal on that date

Sunday, March 19, 2017

Delos Incorporated* Sunday School

Filed under: General,Geometry — m759 @ 9:00 am

The 3x3 square

Click image for a search.

* Parent company of Westworld.
  See also Delos  in this journal.

Friday, March 3, 2017

PSI

Filed under: General — Tags: — m759 @ 2:56 pm

(Notes for Josefine, continued from December 22, 2013) 

From a prequel to The Shining , by Stephen King—

You had to keep an eye on the boiler
because if you didn’t, she would creep on you. 

What did that mean, anyway? Or was it just
one of those nonsensical things that sometimes
came to you in dreams, so much gibberish?
Of course there was undoubtedly a boiler
in the basement or somewhere to heat the place,
even summer resorts had to have heat sometimes,
didn’t they (if only to supply hot water)? But creep ?
Would a boiler creep ?
You had to keep an eye on the boiler.
It was like one of those crazy riddles,
why is a mouse when it runs,
when is a raven like a writing desk,
what is a creeping boiler? 

The boiler room from Kubrick's 'The Shining'

A related figure —

Adventure

Filed under: General — Tags: — m759 @ 1:40 pm

The New York Times  on Wednesday, Sept. 19, 2012 —

This  journal on the previous afternoon —

For greater artistic depth, see Tetrads in this journal.

Tuesday, February 28, 2017

Easy E for Cullinan*

Filed under: General — m759 @ 7:59 pm

See the "symbol of Apollo" in the previous post
as well as posts tagged on050730, and
Conrad H. Roth on "The E at Delphi."

* The now-famous Oscars accountant

Sunday, October 2, 2016

Sermon

Filed under: General — Tags: — m759 @ 11:00 am

"I don't care about what anything was designed  to do,
 I care about what it can  do."

Ed Harris in "Apollo 13"

Saturday, September 10, 2016

Favicon

Filed under: General — m759 @ 3:00 pm

Tuesday, May 31, 2016

Galois Space —

Filed under: General,Geometry — Tags: — m759 @ 7:00 pm

A very brief introduction:

Seven is Heaven...

Wednesday, December 23, 2015

Class of 64

Filed under: General — m759 @ 9:00 pm

The previous post dealt with one of the 64 symbols
(in a redesigned format) of the ancient Chinese classic 
The I Ching .

For those who prefer to be guided by programmed
responses to alphabetical  symbols

A lyric by Ira Gershwin —

A cinematic "T"

See also "T for Texas" in this journal and
George Clooney's recent attempt to commercialize
both the space program and the letter Omega: 

From a post of May 13, 2015 —

Saturday, December 12, 2015

The Frequency Problem

Filed under: General — m759 @ 10:09 pm

Sunday, November 29, 2015

There the Dance Is

Filed under: General,Geometry — Tags: — m759 @ 10:00 pm

In memory of ballet designer
Yolanda Sonnabend, who
reportedly died at 80 on Nov. 9,
see posts on Apollo, Ballet Blanc,
maps of New Haven, etc., etc., etc.

Wednesday, June 24, 2015

It’s 10 PM

Filed under: General — m759 @ 10:00 pm

Do you know where your watch is?

From a post of May 13, 2015 —

From the recent film "Interstellar" —

Wednesday, May 13, 2015

Motto

Filed under: General — Tags: , , — m759 @ 9:48 pm

See the previous post, "Space," as well as

SymOmega in this journal and a suggested motto
for The University of Western Australia.

Space

Filed under: General,Geometry — Tags: , — m759 @ 2:00 pm

Notes on space for day 13 of May, 2015 —

The 13 symmetry axes of the cube may be viewed as
the 13 points of the Galois projective space PG(2,3).
This space (a plane) may also be viewed as the nine points
of the Galois affine space AG(2,3) plus the four points on
an added "line at infinity."

Related poetic material:

The ninefold square and Apollo, as well as 

http://www.log24.com/log/pix11A/110426-ApolloAndDionysus.jpg

Thursday, October 9, 2014

October Nine: Lyche at Bodø

Filed under: General — m759 @ 12:00 pm

Click to enlarge.

See also Apollo in this  journal.

“Nine is a very powerful Nordic number.”

Katherine Neville, who deserves some sort of prize for literature.

IMAGE- Heidegger quote continued, ending with reference to Hölderlin's 'night of lunacy'

— Heidegger, “Hölderlin and the Essence of Poetry,”
translated by Douglas Scott, in Existence and Being  ,
Regnery, 1949

Wednesday, June 18, 2014

A Dark and Stormy Night

Filed under: General — Tags: — m759 @ 9:00 am

This journal on the morning of January 27, 2010,
the day of J. D. Salinger’s death, had a post on
Nietzsche and Heraclitus titled “To Apollo.”

Related material:

“… the wind was noisy the way it is in spooky movies
on the night the old slob with the will gets murdered.”

— From the opening sentence of the first Holden Caulfield
story, published in the Collier’s  of December 22, 1945

See also Peter Matthiessen on Zen,   Salinger and Vedanta,
and Heraclitus in this journal.  Some background—

A quotation from Nietzsche…
(Sämtliche Werke, Kritische Studienausgabe in 15 Bänden  (KSA).
Herausgegeben von Giorgio Colli und Mazzino Montinari.
Berlin: De Gruyter, 1980):

“Nietzsche wrote:

‘Seeing the world as a divine game and beyond good and evil:
in this both the Vedanta and Heraclitus are my predecessors.'”

— KSA vol. 11, page 26, as quoted by André van der Braak
     in a chapter from his 2011 book Nietzsche and Zen

(Darin, dass die Welt ein göttliches Spiel sei
und 
jenseits von Gut und Böse —
habe ich die Vedanta-
Philosophie
und Heraklit zum Vorgänger
.)

Sunday, June 1, 2014

Angel in the Wings

Filed under: General — m759 @ 12:00 am

Or: Corrections

Factually Incorrect:

Ed Koch in the Las Vegas Sun , May 26, 2014:

“In addition to Pearl, Bob’s other cousin, Bill Bailey,
was a song and dance man who was the inspiration
for the hit song ‘Bill Bailey Won’t You Please Come Home.’
In fact, when William Bailey went into show business,
he took the nickname ‘Bob’ to avoid any confusion
with his older, more established cousin Bill.”

(Links added for greater depth.)

Politically Incorrect:

Correction:

Sunday, May 11, 2014

For the Perplexed

Filed under: General — m759 @ 9:48 pm

From a New York Times  obituary by Bruce Weber tonight—

Charles Marowitz, Director and Playwright, Dies at 82

“There are two kinds of bafflement in the theater: the kind that fascinates as it perplexes, and the kind that just perplexes,” he wrote in The Times in 1969 in an essay about Mr. Shepard’s play “La Turista,” which had recently opened in London. “If a play doesn’t make quick sense, but enters into some kind of dialogue with our subconscious, we tend to admit it to that lounge where we entertain interesting-albeit-unfamiliar strangers.

“If it only baffles, there are several courses open to us: we can assume it is ‘above our heads’ or directed ‘to some other kind of person,’ or regretfully conclude that it confuses us because it is itself confused. However, the fear of being proved wrong is so great today that almost every new work which isn’t patently drivel gets the benefit of the doubt.”

 Another play by Sam Shepard mentioned in the obituary suggests a review of…

Tuesday, October 15, 2013

The Field of Reason*

Filed under: General — m759 @ 12:00 pm

IMAGE- Adolf Holl on the Roman emperor Julian and Apollo

Or perhaps the Richman.

Roger Richman, agent who represented image rights for the
estates of celebrities, reportedly died on October 9, 2013.

This journal on that date —

* For the title, see Apollo + Outram in this journal.

Wednesday, October 9, 2013

According to Hoyle

Filed under: General — Tags: — m759 @ 1:13 pm

IMAGE- Quote from Hoyle's 'October the First is Too Late'

See also the previous post.

"Some like it in the pot, nine days old."

Monday, August 26, 2013

Dark Side Tales

Filed under: General — m759 @ 3:00 pm

"Got to keep the loonies on the path."

Lyrics to Dark Side of the Moon

For those who, like Tom Stoppard, prefer the dark side—

NEW ANGLE:
He runs, panting, until he ends up
in front of a tall, brilliantly lit office building.
As he approaches, the lights in the building
are going off floor by floor.

INT. OFFICE BUILDING – NIGHT
He rushes into
the lobby, running for the elevator.

NIGHT WATCHMAN
Burning the midnight oil, Mr. Smith?
You forgot to sign in.

Bateman wheels around and shoots him.
He runs toward the revolving doors.
As he swings around in the doors, he notices
a JANITOR who has witnessed the shooting.
He revolves back into the lobby and shoots the janitor.

NEW ANGLE:
He runs out of the building
and across the street to an identical office building,
the one that houses Pierce & Pierce.

INT. PIERCE & PIERCE LOBBY – NIGHT
Bateman nods at the Pierce & Pierce NIGHT WATCHMAN
and signs in. He breathes a sigh of relief as
​the elevator doors close behind him.

— AMERICAN PSYCHO
by Mary Harron and Guinevere Turner
(Based on the novel by Bret Easton Ellis, 
Fourth Draft, November 1998)

Not quite so dark—

"And then one day you find ten years have got behind you."

— Lyrics to Dark Side of the Moon

This journal ten years ago, on August 25, 2003

         … We seek

The poem of pure reality, untouched
By trope or deviation, straight to the word,
Straight to the transfixing object, to the object

At the exactest point at which it is itself,
Transfixing by being purely what it is,
A view of New Haven, say, through the certain eye,

The eye made clear of uncertainty, with the sight
Of simple seeing, without reflection. We seek
Nothing beyond reality. Within it,

Everything, the spirit's alchemicana
Included, the spirit that goes roundabout
And through included, not merely the visible,

The solid, but the movable, the moment,
The coming on of feasts and the habits of saints,
The pattern of the heavens and high, night air.

— Wallace Stevens, "An Ordinary Evening
     in New Haven," Canto IX
    (Collected Poems , pp. 471-472)


"A view of New Haven, say…." —

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo,
the field of Reason…."
John Outram, architect 


A similar version of this Apollonian image —

  Detail:

Related material for the loonies:

"the spirit's alchemicana."

Sunday, December 16, 2012

Lyric Intelligence

Filed under: General — Tags: — m759 @ 8:00 pm

Тут Аполлон — идеал, там Ниобея — печаль….

The source: The link from St. Lucia's Day to "Congregated Light,"
and the link from there to the Pushkin verse.

See also St. Lucia's Day ten years ago in posts tagged Meadow-down.

Monday, November 12, 2012

Quine’s Dagger

Filed under: General — m759 @ 10:31 am

This post was suggested by other weblogs' 
posts on Owen Barfield* quoted here recently, by
the Apollo Guidance Computer (see below and
MIT Technology Review), and by James Joyce:

"Unsheathe your dagger definitions." — Ulysses

* See The Appearances (Sept. 20, 2009), for
   a correction of Quine by Barfield.

Wednesday, September 19, 2012

Art Wars (continued)

Filed under: General,Geometry — m759 @ 8:00 pm

Today's previous post, "For Odin's Day," discussed 
a mathematical object, the tesseract, from a strictly
narrative point of view.

In honor of George Balanchine, Odin might yield the
floor this evening to Apollo.

From a piece in today's online New York Times  titled
"How a God Finds Art (the Abridged Version)"—

"… the newness at the heart of this story,
in which art is happening for the first time…."

Some related art

IMAGE- Figure from Plato's Meno in version by Benjamin Jowett, Master of Balliol College, Oxford

and, more recently

This more recent figure is from Ian Stewart's 1996 revision 
of a 1941 classic, What Is Mathematics? , by Richard Courant
and Herbert Robbins.

Apollo might discuss with Socrates how the confused slave boy
of Plato's Meno  would react to Stewart's remark that

"The number of copies required to double an
 object's size depends on its dimension."

Apollo might also note an application of Socrates' Meno  diagram
to the tesseract of this afternoon's Odin post

.

Sunday, April 1, 2012

The Palpatine Dimension

Filed under: General,Geometry — Tags: — m759 @ 9:00 am

A physics quote relayed at Peter Woit's weblog today—

"The relation between 4D N=4 SYM and the 6D (2, 0) theory
is just like that between Darth Vader and the Emperor.
You see Darth Vader and you think 'Isn’t he just great?
How can anyone be greater than that? No way.'
Then you meet the Emperor."

— Arkani-Hamed

Some related material from this  weblog—

(See Big Apple and Columbia Film Theory)

http://www.log24.com/log/pix12/120108-Space_Time_Penrose_Hawking.jpg

The Meno Embedding:

Plato's Diamond embedded in The Matrix

Some related material from the Web—

IMAGE- The Penrose diamond and the Klein quadric

See also uses of the word triality  in mathematics. For instance…

A discussion of triality by Edward Witten

Triality is in some sense the last of the exceptional isomorphisms,
and the role of triality for n = 6  thus makes it plausible that n = 6
is the maximum dimension for superconformal symmetry,
though I will not give a proof here.

— "Conformal Field Theory in Four and Six Dimensions"

and a discussion by Peter J. Cameron

There are exactly two non-isomorphic ways
to partition the 4-subsets of a 9-set
into nine copies of AG( 3,2).
Both admit 2-transitive groups.

— "The Klein Quadric and Triality"

Exercise: Is Witten's triality related to Cameron's?
(For some historical background, see the triality  link from above
and Cameron's Klein Correspondence and Triality.)

Cameron applies his  triality to the pure geometry of a 9-set.
For a 9-set viewed in the context of physics, see A Beginning

From MIT Commencement Day, 2011—

A symbol related to Apollo, to nine, and to "nothing"

A minimalist favicon—

IMAGE- Generic 3x3 square as favicon

This miniature 3×3 square— http://log24.com/log/pix11A/110518-3x3favicon.ico — may, if one likes,
be viewed as the "nothing" present at the Creation. 
See Feb. 19, 2011, and Jim Holt on physics.

Happy April 1.

Monday, March 5, 2012

For the Nine Muses

Filed under: General — m759 @ 1:00 pm

From "The Talented," a post of April 26, 2011—

http://www.log24.com/log/pix11A/110426-ApolloAndDionysus.jpg

And for Josefine Lyche

Unity in Multiplicity —

Pink  in Wikipedia

Wednesday, October 12, 2011

High White Noon

Filed under: General,Geometry — m759 @ 12:00 pm

Grid from a post linked to in yesterday's 24 Hour DeLillo

The 3x3 square

A Study in Art Education

For an example of this grid as slow art , consider the following—

"One can show that the binary tetrahedral group
is isomorphic to the special linear group SL(2,3)—
the group of all 2×2 matrices over the finite field F3
with unit determinant." —Wikipedia

As John Baez has noted, these two groups have the same structure as the geometric 24-cell.

For the connection of the grid to the groups and the 24-cell, see Visualizing GL(2,p).

Related material—

The 3×3 grid has been called a symbol of Apollo (Greek god of reason and of the sun).

"This is where we sat through his hushed hour,
a torchlit sky, the closeness of hills barely visible
at high white noon." — Don DeLillo, Point Omega

Friday, September 9, 2011

A Beginning

Filed under: General — Tags: , — m759 @ 5:29 am
 

From MIT Commencement Day, 2011—

A symbol related to Apollo, to nine, and to "nothing"

A minimalist favicon—

IMAGE- Generic 3x3 square as favicon

This miniature 3×3 square— http://log24.com/log/pix11A/110518-3x3favicon.ico — may, if one likes,
be viewed as the "nothing" present at the Creation. 
See Feb. 19, 2011, and Jim Holt on physics.

Saturday, June 18, 2011

Midnight in the Garden (continued)–

Filed under: General — m759 @ 12:00 am

Tracking Shot

IMAGE- Cinema column dated Oct. 1, 2009

Related material—

IMAGE- Quote from Hoyle's 'October the First is Too Late'

See also this journal's September 2009 posts.

This  post was suggested by today's previous post and by today's NY Lottery.
For some background to the ioncinema.com post numbered 4210 above,
see, in conjunction with the page headed "Azazel" linked to here earlier today,
the ioncinema.com post numbered 5601.

“Stranger, dreams verily are baffling and unclear of meaning,
and in no wise do they find fulfillment in all things for men.

For two are the gates of shadowy dreams,
and one is fashioned of horn and one of ivory.
Those dreams that pass through the gate of sawn ivory
deceive men, bringing words that find no fulfillment.
But those that come forth through the gate of polished horn
bring true issues to pass, when any mortal sees them.

But in my case it was not from thence, methinks,
that my strange dream came.”

Homer, Odyssey , Book 19

Translation by A.T. Murray, in two volumes.
Harvard University Press, 1919

Quoted in a press release for the film "Two Gates of Sleep."

From the post numbered 460 in this  journal—

At the still point… from the film "Absolute Power" :

IMAGE- Gene Hackman and Judy Davis dance in 'Absolute Power'
Photo credit – Graham Kuhn

I’ve heard of affairs that are strictly plutonic,
But diamonds are a girl’s best friend!

Marilyn Monroe, modeling a Freudian slip

Wednesday, June 8, 2011

CMT Awards Night

Filed under: General — Tags: — m759 @ 9:00 pm

A meditation, while watching the Country Music Television
CMT Awards, on today's evening NY lottery number 469.

For Reese  Witherspoon* and Dionysus, not Apollo—

A Funny Thing Happened
on the Way to the Edifice

http://www.log24.com/log/pix11A/110608-CP469.jpg

— Page 469 of Wallace Stevens's Collected Poems

See also page 469 of Gravity's Rainbow  (Penguin Classics 1995 paperback)

http://www.log24.com/log/pix11A/110608-GR469.jpg

* Not the Witherspoon Church  of this evening's 6 PM entry.
Reese won Sunday's 2011 MTV Movie Awards' Generation Award .

Both the MTV Movie Awards and the CMT Awards are productions
of MTV Networks, a subsidiary of Viacom Inc. For some background,
see Sumner Redstone (formerly Rothstein).

A Look Back

Filed under: General — Tags: — m759 @ 9:00 am

http://www.log24.com/log/pix11A/110708-NYTobits500w.jpg

Apollo (not Orpheus) versus Robert Kaplow,
author of The Cat Who Killed Lilian Jackson Braun

http://www.log24.com/log/pix11A/110603-NineLives.jpg

Friday, June 3, 2011

MIT Day

Filed under: General — m759 @ 7:59 am

Today is Commencement Day at MIT.

“To measure the changes
     of time and space
the smartest are nothing.”

— Shing-Tung Yau,
 The Emperor of Math
and Harvard philosopher

To measure the changes:

The image “http://www.log24.com/log/pix06A/061017-Yellowbook3.jpg” cannot be displayed, because it contains errors.

The smartest are nothing:

The image “http://www.log24.com/log/pix06A/061017-Gump2A.jpg” cannot be displayed, because it contains errors.

Well, perhaps not quite nothing.

The above pictures were posted here on the day the following book was published—

http://www.log24.com/log/pix11A/110603-NineLives.jpg

The lives of the nine Jews in the above book amount to more than Yau's "nothing."

Note, however, that claims by Jews (see Jill Abramson yesterday
that their secular publications constitute a substitute for religion
and contain only "absolute truth" should be viewed with at least one
raised eyebrow.

Abramson's remark yesterday that her promotion to New York Times  executive editor
was like "ascending to Valhalla" had a religious flavor worthy of yesterday's
Feast of the Ascension.

In related news from yesterday's Times

IMAGE- 'Fearless Ascent, as a God or a Jet' -NYT

See also a symbol related to Apollo, to nine, and to "nothing"

A minimalist 3×3 matrix favicon—

http://www.log24.com/log/pix11A/110518-3x3FaviconURL.jpg

This may, if one likes, be viewed as the "nothing"
present at the Creation.  See Jim Holt on physics.

Monday, May 2, 2011

The Vine*

Filed under: General — Tags: , — m759 @ 9:00 am

See "Nine is a Vine" and "Hereafter" in this journal.

IMAGE- Matt Damon and the perception of doors in 'Hereafter'

As quoted here last October 23

Margaret Atwood on Lewis Hyde's Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

* April 7, 2005

Wednesday, April 27, 2011

The Meadow

Filed under: General — Tags: , — m759 @ 12:00 am

From Nabokov's The Gift

http://www.log24.com/log/pix11A/110427-ApolloButterflyNabokov.jpg

Click for more about the Pushkin verse.

See also Trevanian + meadow and Congregated Light.

Tuesday, April 26, 2011

Unity and Multiplicity

Filed under: General,Geometry — m759 @ 5:48 pm

Today's earlier post mentions one approach to the concepts of unity and multiplicity. Here is another.

http://www.log24.com/log/pix11A/110427-Cube27.jpg
Unity:
The 3×3×3 Galois Cube

Ed Pegg Jr.'s program at Wolfram demonstrating concepts of a 1985 note by Cullinane

Multiplicity:

One of a group, GL(3,3), of 11,232
natural transformations of the 3×3×3 Cube

See also the earlier 1985 3×3 version by Cullinane.

The Talented

Filed under: General — m759 @ 3:00 am

"It's going to be accomplished in steps, this establishment of the Talented in the scheme of things."
— Anne McCaffrey, Radcliffe ’47, To Ride Pegasus

"Character, as we have stated, is revealed through action.
We are not yet telepathic; we must embody even the most intellectual traits
and express them physically."
The Craftsmen of Dionysus: An Approach to Acting  by Jerome Rockwood

http://www.log24.com/log/pix11A/110426-ApolloAndDionysus.jpg

Dionysus Meets Apollo
in "Thirty Two Short Films About Glenn Gould"—

Step I — Tiny Dancer in My Hand (0.48.46)

http://www.log24.com/log/pix11A/110426-0.48.46-TinyDancerInMyHand-Sm.jpg

Step II — The Bridge (0.52.46)

http://www.log24.com/log/pix11A/110426-0.52.46-IdeaOfNorth-Bridge-Sm.jpg

Step III — Liftoff (1.27.37)

http://www.log24.com/log/pix11A/110426-1.27.37-Liftoff-Sm.jpg

Monday, April 25, 2011

The Kristen Effect

Filed under: General — m759 @ 10:31 pm

From the author of The Abacus Conundrum

http://www.log24.com/log/pix10B/101206-AbacusConundrum.jpg

Harlan Kane's sequel to The Apollo Meme

THE KRISTEN EFFECT

IMAGE- Kristen Wiig, 'Cock and Bull Story'

"Thus the universal mutual attraction between the sexes is represented."
Hexagram 31

Sunday, April 17, 2011

Sunday School

Filed under: General,Geometry — Tags: — m759 @ 7:00 am

Apollo and the Tricksters

From The Story of N (Oct. 15, 2010)—

Roberta Smith on what she calls "endgame art"—

"Fear of form above all means fear of compression— of an artistic focus that condenses experiences, ideas and feelings into something whole, committed and visually comprehensible."

Margaret Atwood on tricksters and art—

"If it’s a seamless whole you want, pray to Apollo."

Here is some related material In memory of CIA officer Clare Edward Petty, who died at 90 on March 18—

A review of a sort of storyteller's MacGuffin — the 3×3 grid. This is, in Smith's terms, an "artistic focus" that appears  to be visually comprehensible but is not as simple as it seems.

The Hesse configuration can serve as more than a sort of Dan Brown MacGuffin. As a post of January 14th notes, it can (rather fancifullly) illustrate the soul—

http://www.log24.com/log/pix11/110417-AlderTilleyColoredSm.jpg

" … I feel I understand
Existence, or at least a minute part
Of my existence, only through my art,
In terms of combinational delight…."

— Vladimir Nabokov, Pale Fire

Sunday, March 27, 2011

Frames

Filed under: General — Tags: — m759 @ 2:45 am

"I just seemed to have more frames per second than other kids."

— Mary Karr, "Facing Altars: Poetry and Prayer"

http://www.log24.com/log/pix11/110327-GouldGoldbergs.jpg

 See also "Signs and Symbols."

Art based on a cover of Salinger's 'Nine Stories'

Saturday, January 8, 2011

True Grid (continued)

Filed under: General,Geometry — Tags: , — m759 @ 12:00 pm

"Rosetta Stone" as a Metaphor
  in Mathematical Narratives

For some backgound, see Mathematics and Narrative from 2005.

Yesterday's posts on mathematics and narrative discussed some properties
of the 3×3 grid (also known as the ninefold square ).

For some other properties, see (at the college-undergraduate, or MAA, level)–
Ezra Brown, 2001, "Magic Squares, Finite Planes, and Points of Inflection on Elliptic Curves."

His conclusion:

When you are done, you will be able to arrange the points into [a] 3×3 magic square,
which resembles the one in the book [5] I was reading on elliptic curves….

This result ties together threads from finite geometry, recreational mathematics,
combinatorics, calculus, algebra, and number theory. Quite a feat!

5. Viktor Prasolov and Yuri Solvyev, Elliptic Functions and Elliptic Integrals ,
    American Mathematical Society, 1997.

Brown fails to give an important clue to the historical background of this topic —
the word Hessian . (See, however, this word in the book on elliptic functions that he cites.)

Investigation of this word yields a related essay at the graduate-student, or AMS, level–
Igor Dolgachev and Michela Artebani, 2009, "The Hesse Pencil of Plane Cubic Curves ."

From the Dolgachev-Artebani introduction–

In this paper we discuss some old and new results about the widely known Hesse
configuration
  of 9 points and 12 lines in the projective plane P2(k ): each point lies
on 4 lines and each line contains 3 points, giving an abstract configuration (123, 94).

PlanetMath.org on the Hesse configuration

http://www.log24.com/log/pix11/110108-PlanetMath.jpg

A picture of the Hesse configuration–

The image “http://www.log24.com/log/pix05B/grid3x3med.bmp” cannot be displayed, because it contains errors.

(See Visualizing GL(2,p), a note from 1985).

Related notes from this journal —

From last November —

Saturday, November 13, 2010

Story

m759 @ 10:12 PM

From the December 2010 American Mathematical Society Notices

http://www.log24.com/log/pix10B/101113-Ono.gif

Related material from this  journal—

Mathematics and Narrative and

Consolation Prize (August 19, 2010)

From 2006 —

Sunday December 10, 2006

 

 m759 @ 9:00 PM

A Miniature Rosetta Stone:

The image “http://www.log24.com/log/pix05B/grid3x3med.bmp” cannot be displayed, because it contains errors.

“Function defined form, expressed in a pure geometry
that the eye could easily grasp in its entirety.”

– J. G. Ballard on Modernism
(The Guardian , March 20, 2006)

“The greatest obstacle to discovery is not ignorance –
it is the illusion of knowledge.”

— Daniel J. Boorstin,
Librarian of Congress, quoted in Beyond Geometry

Also from 2006 —

Sunday November 26, 2006

 

m759 @ 7:26 AM

Rosalind Krauss
in "Grids," 1979:

"If we open any tract– Plastic Art and Pure Plastic Art  or The Non-Objective World , for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter.  They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.

Or, to take a more up-to-date example…."

"He was looking at the nine engravings and at the circle,
checking strange correspondences between them."
The Club Dumas ,1993

"And it's whispered that soon if we all call the tune
Then the piper will lead us to reason."
Robert Plant ,1971

The nine engravings of The Club Dumas
(filmed as "The Ninth Gate") are perhaps more
an example of the concrete than of the universal.

An example of the universal*– or, according to Krauss,
a "staircase" to the universal– is the ninefold square:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo, the field of Reason…."
John Outram, architect    

For more on the field of reason, see
Log24, Oct. 9, 2006.

A reasonable set of "strange correspondences"
in the garden of Apollo has been provided by
Ezra Brown in a mathematical essay (pdf).

Unreason is, of course, more popular.

* The ninefold square is perhaps a "concrete universal" in the sense of Hegel:

"Two determinations found in all philosophy are the concretion of the Idea and the presence of the spirit in the same; my content must at the same time be something concrete, present. This concrete was termed Reason, and for it the more noble of those men contended with the greatest enthusiasm and warmth. Thought was raised like a standard among the nations, liberty of conviction and of conscience in me. They said to mankind, 'In this sign thou shalt conquer,' for they had before their eyes what had been done in the name of the cross alone, what had been made a matter of faith and law and religion– they saw how the sign of the cross had been degraded."

– Hegel, Lectures on the History of Philosophy ,
   "Idea of a Concrete Universal Unity"

"For every kind of vampire,
there is a kind of cross."
– Thomas Pynchon   

And from last October —

Friday, October 8, 2010

 

m759 @ 12:00 PM
 

Starting Out in the Evening
… and Finishing Up at Noon

This post was suggested by last evening's post on mathematics and narrative and by Michiko Kakutani on Vargas Llosa in this morning's New York Times .

http://www.log24.com/log/pix10B/101008-StartingOut.jpg

 

Above: Frank Langella in
"Starting Out in the Evening"

Right: Johnny Depp in
"The Ninth Gate"

http://www.log24.com/log/pix10B/101008-NinthGate.jpg

"One must proceed cautiously, for this road— of truth and falsehood in the realm of fiction— is riddled with traps and any enticing oasis is usually a mirage."

– "Is Fiction the Art of Lying?"* by Mario Vargas Llosa,
    New York Times  essay of October 7, 1984

* The Web version's title has a misprint—
   "living" instead of "lying."

"You've got to pick up every stitch…"

Monday, December 13, 2010

Plan 9 Revisited

Filed under: General,Geometry — m759 @ 9:00 am

Leading today's New York Times  obituaries —

http://www.log24.com/log/pix10B/101213-NYTobits.jpg

— is that of Nassos Daphnis, a painter of geometric abstractions
who in 1995 had an exhibition at a Leo Castelli gallery
titled "Energies in Outer Space." (See pictures here.)

Daphnis died, according to the Times, on November 23.
See Art Object, a post in this journal on that date—

There is more than one way
to look at a cube.

http://www.log24.com/log/pix10B/101123-plain_cube_200x227.gif

Some context— this morning's previous post (Apollo's 13,
on the geometry of the 3×3×3 cube), yesterday's noon post
featuring the 3×3 square grid (said to be a symbol of Apollo),

The 3x3 square

and, for connoisseurs of the Ed Wood school of cinematic art,
a search in this journal for the phrase "Plan 9."

You can't make this stuff up.

Mathematics and Narrative continued…

Filed under: General,Geometry — m759 @ 7:20 am

Apollo's 13: A Group Theory Narrative —

I. At Wikipedia —

http://www.log24.com/log/pix10B/101213-GroupTheory.jpg

II. Here —

See Cube Spaces and Cubist Geometries.

The 13 symmetry axes of the (Euclidean) cube–
exactly one axis for each pair of opposite
subcubes in the 27-part (Galois) 3×3×3 cube–

The 13 symmetry axes of the cube

A note from 1985 describing group actions on a 3×3 plane array—

http://www.log24.com/log/pix10A/100621-VisualizingDetail.gif

Undated software by Ed Pegg Jr. displays
group actions on a 3×3×3 cube that extend the
3×3 group actions from 1985 described above—

Ed Pegg Jr.'s program at Wolfram demonstrating concepts of a 1985<br />
note by Cullinane

Pegg gives no reference to the 1985 work on group actions.

Sunday, December 12, 2010

Brightness at Noon continued…

Filed under: General — Tags: , — m759 @ 12:00 pm

A picture one might view as
related to the novel An Object of Beauty
and the film "The Object of Beauty" —

The 3x3 square

Click for some background.

"If it's a seamless whole you want,
 pray to Apollo." — Margaret Atwood

Saturday, October 23, 2010

Paranormal Jackass

Filed under: General — Tags: , — m759 @ 8:28 pm

From MTV.com this afternoon

The follow-up to last year's runaway horror hit, "Paranormal Activity 2," kicked off its first weekend in theaters with a major haul. The creepy tale… pulled in $20.1 million on Friday.

Trailing behind "Paranormal" is last week's box-office busting debut "Jackass 3D. " The prank-fest, which landed about $50 million its first weekend in theaters, slipped to the second-place slot….

The Clint Eastwood-helmed ensemble drama "Hereafter" landed in fourth place. Exploring the lives of three people who are dealing with death and the afterlife in several ways, including the story of a psychic played by Matt Damon, the screen legend's latest turn in the director's chair made approximately $4.1 million on Friday.

Related material—

IMAGE-- Matt Damon stands where a door opens in 'Hereafter'

Margaret Atwood on Lewis Hyde's Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

The Paranormal Trickster Blog

George P. Hansen on Martin Gardner and the paranormal.

Saturday, October 16, 2010

The Mandelbrot Numbers

Filed under: General — m759 @ 11:36 am
 

Benoît Mandelbrot died on Oct. 14.
 

NY Lottery Thursday, Oct. 14, 2010-- Midday 109, Evening 060

— New York Lottery on Thursday, Oct. 14, 2010

Related material on 109: See 1/09, 2009.
Related material on 060: See Hexagram 60 of the I Ching  and…

IMAGE-- Matt Damon stands where a door opens in 'Hereafter'

Margaret Atwood on Lewis Hyde's Trickster Makes This World: Mischief, Myth, and Art

"Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning "to join," "to fit," and "to make." (254)  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

Friday, October 15, 2010

Mathematics and Narrative, continued

Filed under: General — Tags: — m759 @ 6:29 am
 

The Story of N

http://www.log24.com/log/pix09/090109-Stories.jpg

Roberta Smith in the New York Times  of July 7, 2006

Art Review

Endgame Art? It's Borrow, Sample and Multiply in an Exhibition at Bard College

"… The show has an endgame, end-time mood, as if we are looking at the end of the end of the end of Pop, hyperrealism and appropriation art. The techniques of replication and copying have become so meticulous that they are beside the point. This is truly magic realism: the kind you can't see, that has to be explained. It is also a time when artists cultivate hybridism and multiplicity and disdain stylistic coherence, in keeping with the fashionable interest in collectivity, lack of ego, the fluidity of individual identity. But too often these avoidance tactics eliminate the thread of a personal sensibility or focus.

I would call all these strategies fear of form, which can be parsed as fear of materials, of working with the hands in an overt way and of originality. Most of all originality. Can we just say it? This far from Andy Warhol and Duchamp, the dismissal of originality is perhaps the oldest ploy in the postmodern playbook. To call yourself an artist at all is by definition to announce a faith, however unacknowledged, in some form of originality, first for yourself, second, perhaps, for the rest of us.

Fear of form above all means fear of compression— of an artistic focus that condenses experiences, ideas and feelings into something whole, committed and visually comprehensible. With a few exceptions, forms of collage and assemblage dominate this show: the putting together (or simply putting side by side) of existing images and objects prevails. The consistency of this technique in two and three dimensions should have been a red flag for the curators. Collage has driven much art since the late 1970's. Lately, and especially in this exhibition, it often seems to have become so distended and pulled apart that its components have become virtually autonomous and unrelated, which brings us back to square one. This is most obvious in the large installations of graphic works whose individual parts gain impact and meaning from juxtaposition but are in fact considered distinct artworks."

Margaret Atwood on art and the trickster

"The pleasures of fabulation, the charming and playful lie— this line of thought leads Hyde* to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation  and art  all come from the same ancient root, a word meaning 'to join,' 'to fit,' and 'to make.'  If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist.  Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart."

* Lewis Hyde, Trickster Makes This World: Mischief, Myth, and Art,  Farrar Straus & Giroux, January 1998

Smith mentions "an artistic focus that condenses experiences, ideas and feelings into something whole, committed and visually comprehensible."

Atwood mentions "a seamless whole."

For some related remarks, see "A Study in Art Education" and the central figure pictured above. (There "N" can stand for "number," "nine," or "narrative.")

Thursday, August 19, 2010

Consolation Prize

Filed under: General,Geometry — Tags: , , — m759 @ 9:04 am

For Kathrin Bringmann, who has been mentioned as a possible candidate for a Fields Medal.

The four Fields medal winners were announced today at the International Congress of Mathematicians in Hyderabad, India. Bringmann was not among them.

Bringmann was, however, the winner of the 2009 SASTRA Ramanujan Prize

See The Hindu  of September 30, 2009 and this journal on that date

Motto of Plato's Academy: 'Let no one ignorant of geometry enter'

The 3x3 grid

A Symbol of Apollo

For more about Bringmann's work, see an article on what has been called Ramanujan's "final problem."

For another problem with a claim to this title, see "Mathematician Untangles Legendary Problem" and search in this journal for Dyson + crank.

Tuesday, August 10, 2010

A Problem

Filed under: General,Geometry — Tags: — m759 @ 7:35 pm

From Telegraph.co.uk (published: 5:56 PM BST 10 Aug 2010), a note on British-born Canadian journalist Bruce Garvey, who died at 70 on August 1—

In 1970, while reporting on the Apollo 13 mission at Nasa Mission Control for the Toronto Star, he was one of only two journalists— alongside Richard Killian of the Daily Express— to hear the famous message: "Houston we've had a problem."

See also Log24 posts of 10 AM and noon today.

The latter post poses the problem "You're dead. Now what?"

Again, as in this morning's post, applying Jungian synchronicity—

A check of this journal on the date of Garvey's death yields a link to 4/28's "Eightfold Geometry."

That post deals with a piece of rather esoteric mathematical folklore. Those who prefer easier problems may follow the ongoing struggles of Julie Taymor with "Spider-Man: Turn Off the Dark."

The problems of death, geometry, and Taymor meet in "Spider Woman" (April 29) and "Memorial for Galois" (May 31).

Sunday, July 18, 2010

Today’s Sermon

Filed under: General — m759 @ 11:00 am

New York Lottery on Saturday, July 17, 2010—

Midday 049, Evening 613.

Related material:

Hexagram 49 and 6/13.

A quotation from this journal on 6/13

"Christianity offers the critic a privileged ontological window…."

Aaron Urbanczyk's 2005 review of Christ and Apollo 
   
by William Lynch, S.J., a book first published in 1960

Picture from today's New York Times  (page ST1 in New York edition)—

http://www.log24.com/log/pix10B/100718-LamWindow.jpg

Monday, June 28, 2010

Byrd Song

Filed under: General — m759 @ 1:00 pm

Robert Byrd, longest-serving member of Congress, dead at 92

CNN – Dana Bash, Mike Roselli – ‎7 minutes ago‎ at Google News

By the CNN Wire Staff NEW:
 
Byrd: "When I am dead …
they will find West Virginia written on my heart"
 
Washington (CNN) — West Virginia Sen. Robert Byrd,
the self-educated son of a coal miner who became
the longest-serving member of Congress
 
See also Sunday at the Apollo
and the Apollo Civic Theatre
in Martinsburg, West Virginia.

Sunday, June 13, 2010

Sunday School

Filed under: General — m759 @ 9:00 am

What on earth is a 'concrete universal'?"
Said to be an annotation (undated)
by Robert M. Pirsig of A History of Philosophy,
by Frederick Copleston, Society of Jesus.

From Aaron Urbanczyk's 2005 review of Christ and Apollo  by William Lynch, S.J., a book first published in 1960—

"Lynch's use of analogy vis-a-vis literature provides, in a sense, a philosophical basis to the theoretical paradox popularized by W. K. Wimsatt (1907-1975), which contends that literature is a sort of 'concrete universal.'"

The following figure has often been
offered in this journal as a symbol of Apollo

Image-- 3x3 array of white squares

Arguments that it is, rather, a symbol of Christ
may be left to the Society of Jesus.

One possible approach—
Urbanczyk's review says that
"Christianity offers the critic
   a privileged ontological window…."

"The world was warm and white when I was born:
Beyond the windowpane the world was white,
A glaring whiteness in a leaded frame,
Yet warm as in the hearth and heart of light."

Delmore Schwartz

Thursday, June 3, 2010

Trickster

Filed under: General — Tags: — m759 @ 9:00 am

Margaret Atwood (pdf) on Lewis Hyde’s
Trickster Makes This World: Mischief, Myth, and Art

“Trickster,” says Hyde, “feels no anxiety when he deceives…. He… can tell his lies with creative abandon, charm, playfulness, and by that affirm the pleasures of fabulation.” (71) As Hyde says, “…  almost everything that can be said about psychopaths can also be said about tricksters,” (158), although the reverse is not the case. “Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists.” (159)

What is “the next world”? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation and art all come from the same ancient root, a word meaning to join, to fit, and to make. (254) If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist. Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

See also George P. Hansen on Martin Gardner, Trickster.

Sunday, May 9, 2010

For Miss Prothero (and Dylan Thomas)

Filed under: General — Tags: , — m759 @ 4:23 am

 

The Ninth Gate

Friday’s post “Religion at Harvard” continues…

Image-- List of nine religions in the chapters of Prothero's 'God is Not One'

This list may be of some use to
Rebecca Newberger Goldstein, who, like Prothero,
spoke recently at Harvard Book Store.

See also Rosalind Krauss on Grids,
An Education, and Plan 9 from Outer Space.

Readers more advanced than Harvard audiences
may wish to compare yesterday’s linked-to story
Loo Ree” with the works of Alison Lurie
in particular, Imaginary Friends and Familiar Spirits.

Wednesday, April 7, 2010

Veritas

Filed under: General — Tags: — m759 @ 9:00 am

Some historians consider today's date, April 7, to be the date of the Crucifixion in the Roman calendar (a solar calendar, as opposed to the Jewish lunar scheme).

Since the ninefold square has been called both a symbol of Apollo and the matrix of a cross, it will serve as an icon for today–

The 3x3 square

The image “http://www.log24.com/log/pix05B/051202-Cross.gif” cannot be displayed, because it contains errors.
Adapted from
Ad Reinhardt

Saturday, March 13, 2010

Space Cowboy

Filed under: General,Geometry — m759 @ 9:00 am

From yesterday's Seattle Times

According to police, employees of a Second Avenue mission said the suspect, clad in black and covered in duct tape, had come into the mission "and threatened to blow the place up." He then told staffers "that he was a vampire and wanted to eat people."

The man… also called himself "a space cowboy"….

This suggests two film titles…

Plan 9 from Outer Space

Rebecca Goldstein and a Cullinane quaternion

and Apollo's 13

The 13 symmetry axes of the (Euclidean) cube–
exactly one axis for each pair of opposite
  subcubes in the (Galois) 3×3×3 cube–

The 13 symmetry axes of the cube

Wednesday, September 30, 2009

Wednesday September 30, 2009

Filed under: General,Geometry — Tags: — m759 @ 9:48 am

Midnight in the Garden, Autumn 2009

 

Review:

Der Einsatz
 
Motto of Plato's Academy: 'Let no one ignorant of geometry enter'
The Ninefold Square (a 3x3 grid)

The New York Times Magazine on Sunday, Sept. 20, 2009:
 
'The Holy Grail of the Unconscious' at The New York Times

From this journal on the following day, Sept. 21:

Pearl Jam 'Backspacer' album released Sept. 20, 2009

Happy birthday, Stephen King.

Today's previous entry is based on a song, "Unthought Known,"
from the above album; the cover of the album uses the 3×3 grid
shown in Sept. 20's midnight review. For related material
on the unconscious, see June 13-15, 2005.

I know more than Apollo,
For oft when he lies sleeping
I see the stars at mortal wars
In the wounded welkin weeping.

Tom O'Bedlam's Song

Thursday, February 19, 2009

Thursday February 19, 2009

Filed under: General — Tags: — m759 @ 7:07 am

A Sunrise
for Sunrise

“If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World, for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter. They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.”

Rosalind Krauss, “Grids”

Yesterday’s entry featured a rather simple-minded example from Krauss of how the ninefold square (said to be a symbol of Apollo)

The 3x3 grid

may be used to create a graphic design– a Greek cross, which appears also in crossword puzzles:

Crossword-puzzle design that includes Greek-cross elements

Illustration by
Paul Rand
(born Peretz Rosenbaum)

A more sophisticated example
of the ninefold square
in graphic design:

“That old Jew
gave me this here.”

— A Flag for Sunrise  

The 3x3 grid as an organizing frame for Chinese calligraphy. Example-- the character for 'sunrise'
From Paul-Rand.com

Wednesday, January 21, 2009

Wednesday January 21, 2009

Filed under: General — m759 @ 12:00 pm
Scripture

Harvard Divinity School logo

“… while some are elected,
others not elect are
passed by….”

A commentary on the
Calvinist doctrine of preterition

Gravity’s Rainbow, Penguin Classics, 1995, page 742:

“… knowing his Tarot, we would expect to look among the Humility, among the gray and preterite souls, to look for him adrift in the hostile light of the sky, the darkness of the sea….

Now there’s only a long cat’s-eye of bleak sunset left over the plain tonight, bright gray against a purple ceiling of clouds, with an iris of

   742″

“God is the original
conspiracy theory.”

Pynchon’s Paranoid History

“We remain a young nation, but in the words of Scripture, the time has come to set aside childish things.”

— President Obama yesterday

It is not entirely clear what these “childish things” are. Perhaps the young nation’s “childish things” that the new President refers to are part of what Robert Stone memorably called “our secret culture.” Stone was referring to Puritanism, which some advocates of the new religion of Scientism might call “childish.” I do not. Lunatic, perhaps, but not childish.

Related meditations:

A year ago yesterday, on Sunday, Jan. 20, 2008, the mid-day lottery for New York State was 605.

A midrash in the Judeo-Christian tradition of paranoia a year ago today suggested that 605 might be a veiled reference to “God, the Devil, and a Bridge,” a weblog entry on mathematician André Weil.

Continuing in this vein a year later, we are confronted with the mid-day New York lottery for yesterday:

742.

Taking a hint from another
entry on Weil, this may be
regarded as a reference to
The Oxford Book of
English Verse
(1919 edition):

Selection 742 in that book
comports well with this
jounal’s recent meditations
on death and Brooklyn:

742: The Imprisoned Soul

“Let me glide noiselessly forth;  
With the key of softness
     unlock the locks….”

— Walt Whitman

Applying this method of
exegesis to last year’s
lottery, we have

605: Hymn of Pan

“And all that did then
    attend and follow,
 
Were silent with love,
    as you now, Apollo,
 
With envy of
    my sweet pipings.”

“In time, his carefree lifestyle began to upset the early Christians, who saw his earthy temptations as a manifestation of the Devil. Who would’ve thought that the horny old goat would become the blueprint for popular conceptions of Satan– cloven hooves, horns and all?”

Pan: God of Shepherds, Flocks, and Fornication

Hymn 605 thus supplies a reference to the devil mentioned by Weil in the entry of 6/05.

It, together with Hymn 742 of a year later, may be regarded as a divine response to a weblog entry yesterday from the Greater Wasilla Area on listening to the inauguration:

“… thus far, I have not heard any priests of Apollo, nor of any other God, issuing any auguries.”

Neither have I, but hearing is only one of the senses.

“Heard melodies are sweet,
    but those unheard
Are sweeter.”

— John Keats

Wednesday, December 10, 2008

Wednesday December 10, 2008

Filed under: General — m759 @ 9:00 pm
Sign

ho anax, hou to manteion esti
to en Delphois, oute legei oute
 kruptei,
alla sêmainei

Heraclitus, DK 22 B 93,
Kahn XXXIII:

The lord whose oracle is
at Delphi neither reveals nor
 conceals, but gives a sign.

A sign, perhaps of the sort
given by Apollo’s oracle:

Road sign with double arrow pointing both left and right

Click on the sign for further details.

Related material:

This week’s New Yorker

Cartoon sign-- enlightenment one way, sandals the other

… as well as   
  today’s previous entry —
Symbol,” discussing Apollo
and a web page
by Nick Wedd —
and Wedd’s home page,
which states that
“I have now found a
  source of Polish sandals.”

Wednesday December 10, 2008

Filed under: General,Geometry — m759 @ 3:26 pm
Symbol

“If it’s a seamless whole you want,
 pray to Apollo, who sets the limits
  within which such a work can exist.”

Margaret Atwood,
quoted here on
November 17, 2008

The 3x3 square

A symbol of Apollo

Related material:

A web page by
Nick Wedd at Oxford

with a neater version
of pictures I drew on
March 26, 1985

(Recall that Apollo is the god
   of, among other things, reason.)

Monday, November 17, 2008

Monday November 17, 2008

Filed under: General,Geometry — m759 @ 9:00 am
Limits

From the previous entry:

“If it’s a seamless whole you want,
 pray to Apollo, who sets the limits
  within which such a work can exist.”

— Margaret Atwood,
author of Cat’s Eye

The 3x3 square

Happy birthday
to the late
Eugene Wigner

… and a belated
Merry Christmas
 to Paul Newman:

Elke Sommer, former Erlangen Gymnasium student, in 'The Prize' with Paul Newman, released Christmas Day, 1963

“The laws of nature permit us to foresee events on the basis of the knowledge of other events; the principles of invariance should permit us to establish new correlations between events, on the basis of the knowledge of established correlations between events. This is exactly what they do.”

— Eugene Wigner, Nobel Prize Lecture, December 12, 1963

Sunday, November 16, 2008

Sunday November 16, 2008

Filed under: General — m759 @ 9:00 pm
Atwood on Art

From the previous entry:

“If it’s a seamless whole you want,
 pray to Apollo, who sets the limits
  within which such a work can exist.”

— Margaret Atwood,
author of Cat’s Eye

“The power of the dark is ascending.
 The light retreats to security, so that
 the dark cannot encroach upon it.”

Richard Wilhelm

 Related material:
Darkness Visible

Sunday November 16, 2008

Filed under: General,Geometry — Tags: , — m759 @ 8:00 pm
Art and Lies

Observations suggested by an article on author Lewis Hyde– "What is Art For?"–  in today's New York Times Magazine:

Margaret Atwood (pdf) on Lewis Hyde's
Trickster Makes This World: Mischief, Myth, and Art

"Trickster," says Hyde, "feels no anxiety when he deceives…. He… can tell his lies with creative abandon, charm, playfulness, and by that affirm the pleasures of fabulation." (71) As Hyde says, "…  almost everything that can be said about psychopaths can also be said about tricksters," (158), although the reverse is not the case. "Trickster is among other things the gatekeeper who opens the door into the next world; those who mistake him for a psychopath never even know such a door exists." (159)

What is "the next world"? It might be the Underworld….

The pleasures of fabulation, the charming and playful lie– this line of thought leads Hyde to the last link in his subtitle, the connection of the trickster to art. Hyde reminds us that the wall between the artist and that American favourite son, the con-artist, can be a thin one indeed; that craft and crafty rub shoulders; and that the words artifice, artifact, articulation and art all come from the same ancient root, a word meaning to join, to fit, and to make. (254) If it’s a seamless whole you want, pray to Apollo, who sets the limits within which such a work can exist. Tricksters, however, stand where the door swings open on its hinges and the horizon expands: they operate where things are joined together, and thus can also come apart.

For more about
"where things are
joined together," see
 Eight is a Gate and
The Eightfold Cube.
Related material:

The Trickster
and the Paranormal

and
Martin Gardner on
   a disappearing cube —

"What happened to that… cube?"

Apollinax laughed until his eyes teared. "I'll give you a hint, my dear. Perhaps it slid off into a higher dimension."

"Are you pulling my leg?"

"I wish I were," he sighed. "The fourth dimension, as you know, is an extension along a fourth coordinate perpendicular to the three coordinates of three-dimensional space. Now consider a cube. It has four main diagonals, each running from one corner through the cube's center to the opposite corner. Because of the cube's symmetry, each diagonal is clearly at right angles to the other three. So why shouldn't a cube, if it feels like it, slide along a fourth coordinate?"

— "Mr. Apollinax Visits New York," by Martin Gardner, Scientific American, May 1961, reprinted in The Night is Large


For such a cube, see

Cube with its four internal diagonals


ashevillecreative.com

this illustration in


The Religion of Cubism
(and the four entries
preceding it —
 Log24, May 9, 2003).

Beware of Gardner's
"clearly" and other lies.

Saturday, November 8, 2008

Saturday November 8, 2008

Filed under: General — m759 @ 10:30 am
Roman Religion

Pope Benedict XVI, formerly the modern equivalent of The Grand Inquisitor

ET SUPER HANC PETRAM
AEDIFICABO  ECCLESIAM
MEAM ET PORTAE INFERI
NON  PRAEVALEBUNT
ADVERSUS  EAM

Benedict XVI, before he became Pope:

“… a purely harmonious concept of beauty is not enough…. Apollo, who for Plato’s Socrates was ‘the God’ and the guarantor of unruffled beauty as ‘the truly divine’ is absolutely no longer sufficient.”

Tom O’Bedlam:

I know more than Apollo….

Wikipedia:

“The lapis manalis (Latin: ‘stone of the Manes‘) was a name given to two sacred stones used in the Roman religion. One covered a gate to Hades, abode of the dead….

One such stone covered the mundus Cereris, a pit thought to contain an entrance to the underworld….

The… mundus was located in the Comitium, on the Palatine Hill. This stone was ceremonially opened three times a year, during which spirits of the blessed dead (the Manes) were able to commune with the living. The three days upon which the mundus was opened were August 24, October 5, and November 8. Fruits of the harvest were offered to the dead at this time.”

Related material:

Log24 on      
August 24,     
October 5, and
November 8.  

Sunday, October 5, 2008

Sunday October 5, 2008

Filed under: General — Tags: — m759 @ 4:23 pm
Nash Equilibrium or:
To Make a Short Story Long

Last night's entry presented a
short story summarized by
four lottery numbers.

Today's mid-day lotteries
and associated material:

Pennsylvania, 201– i.e., 2/01:
Kindergarten Theology

Theologian James Edwin Loder:

"In a game of chess, the knight's move is unique because it alone goes around corners. In this way, it combines the continuity of a set sequence with the discontinuity of an unpredictable turn in the middle. This meaningful combination of continuity and discontinuity in an otherwise linear set of possibilities has led some to refer to the creative act of discovery in any field of research as a 'knight's move' in intelligence."

New York, 229– i.e., 2/29:
I Have a Dreamtime

"One must join forces with friends of like mind"

Related material:

Terence McKenna:

"Schizophrenia is not a psychological disorder peculiar to human beings. Schizophrenia is not a disease at all but rather a localized traveling discontinuity of the space time matrix itself. It is like a travelling whirl-wind of radical understanding that haunts time. It haunts time in the same way that Alfred North Whitehead said that the color dove grey 'haunts time like a ghost.'"

Anonymous author:

"'Knight's move thinking' is a psychiatric term describing a thought disorder where in speech the usual logical sequence of ideas is lost, the sufferer jumping from one idea to another with no apparent connection. It is most commonly found in schizophrenia."

Star Wars:
 
John Nash, as portrayed by Russell Crowe

I know more than Apollo,
For oft when he lies sleeping
I see the stars at mortal wars
In the wounded welkin weeping.

Tom O'Bedlam's Song

For more on the sleep of Apollo,
see the front page of today's
New York Times Book Review.

Garrison Keillor's piece there,
"Dying of the Light," is
about the fear of death felt
by an agnostic British twit.

For relevant remarks by
a British non-twit, see
William Dunbar–

Timor Mortis conturbat me.

Friday, September 19, 2008

Friday September 19, 2008

Filed under: General — m759 @ 2:02 am
Toward the Light

O dark dark dark
They all go into the dark
Four Quartets  

This morning’s NY Times obituaries:

(Click to enlarge.)


NY Times obituaries, Sept. 19, 2008, starring Norman Whitfield

I love those Bavarians…
so meticulous
.”

Marvin Gaye sings 'I Heard It Through the Grapevine'

Related material:

Church of the Forbidden Planet,

Campaign Song,

At the Apollo.

Saturday, August 2, 2008

Saturday August 2, 2008

Filed under: General — m759 @ 3:52 pm
Ready When
You Are, C. B.

(continued from
June 23, 2007)

Front page top center,
online New York Times,
3:12 PM Saturday, August 2, 2008:

http://www.log24.com/log/pix08/080802-OlympicsLogo.gif

http://www.log24.com/log/pix08/080802-NastiaLiukin.jpg

Finlay MacKay for The New York Times

For gold-medal hopefuls like Nastia Liukin, there’s just one big chance to make it as a marketing darling.

Possible titles
for the above photo:

The Eye of Apollo
or
The Hidden Sign.

See also the conclusion
of the Wallace Stevens
poem linked to in
the previous entry.

Saturday August 2, 2008

Filed under: General,Geometry — m759 @ 2:02 pm
Geometry and Death

(continued from
June 15, 2007)

Today is the anniversary
of the 1955 death of poet
Wallace Stevens.

Related material:

A poem by Stevens,

an essay on  the
relationships between
poets and philosophers —
“Bad Blood,” by
Leonard Michaels

and

The ninefold square, a symbol of Apollo

the Log24 entries
of June 14-15, 2007
.

Monday, July 30, 2007

Monday July 30, 2007

Filed under: General,Geometry — m759 @ 7:00 pm
The Deathly Hallows Symbol

'Deathly Hallows symbol, related to the 'Snakes on a Plane' cartoon.

Some fear that the Harry Potter books introduce children to the occult; they are not entirely mistaken.

According to Wikipedia, the “Deathly Hallows” of the final Harry Potter novel are “three fictional magical objects that appear in the book.”

The vertical line, circle, and triangle in the symbol pictured above are said to refer to these three magical objects.

One fan relates the “Deathly Hallows” symbol above, taken from the spine of a British children’s edition of the book, to a symbol for “the divine (or sacred, or secret) fire” of alchemy. She relates this fire in turn to “serpent power” and the number seven:

Kristin Devoe at a Potter fan site:

“We know that seven is a powerful number in the novels. Tom Riddle calls it ‘the most powerfully magic number.‘ The ability to balance the seven chakras within oneself allows the person to harness the secret fire. This secret fire in alchemy is the same as the kundalini or coiled snake in yogic philosophy. It is also known as ‘serpent power’ or the ‘dragon’ depending on the tradition. The kundalini is polar in nature and this energy, this internal fire, is very powerful for those who are able to harness it and it purifies the aspirant allowing them the knowledge of the universe. This secret fire is the Serpent Power which transmutes the base metals into the Perfect Gold of the Sun.

It is interesting that the symbol of the caduceus in alchemy is thought to have been taken from the symbol of the kundalini. Perched on the top of the caduceus, or the staff of Hermes, the messenger of the gods and revealer of alchemy, is the golden snitch itself! Many fans have compared this to the scene in The Order of the Phoenix where Harry tells Dumbledore about the attack on Mr. Weasley and says, ‘I was the snake, I saw it from the snake’s point of view.

The chapter continues with Dumbledore consulting ‘one of the fragile silver instruments whose function Harry had never known,’ tapping it with his wand:

The instrument tinkled into life at once with rhythmic clinking noises. Tiny puffs of pale green smoke issued from the minuscule silver tube at the top. Dumbledore watched the smoke closely, his brow furrowed, and after a few seconds, the tiny puffs became a steady stream of smoke that thickened and coiled into he air… A serpent’s head grew out of the end of it, opening its mouth wide. Harry wondered whether the instrument was confirming his story; He looked eagerly at Dumbledore for a sign that he was right, but Dumbledore did not look up.

“Naturally, Naturally,” muttered Dumbledore apparently to himself, still observing the stream of smoke without the slightest sign of surprise. “But in essence divided?”

Harry could make neither head not tail of this question. The smoke serpent, however split instantly into two snakes, both coiling and undulating in the dark air. With a look of grim satisfaction Dumbledore gave the instrument another gentle tap with his wand; The clinking noise slowed and died, and the smoke serpents grew faint, became a formless haze, and vanished.

Could these coiling serpents of smoke be foreshadowing events to come in Deathly Hallows where Harry learns to ‘awaken the serpent’ within himself? Could the snake’s splitting in two symbolize the dual nature of the kundalini?”

Related material

The previous entry

“And the serpent’s eyes shine    
As he wraps around the vine
In The Garden of Allah” —

and the following
famous illustration of
the double-helix
structure of DNA:

 Odile Crick, drawing of DNA structure in the journal Nature, 1953
This is taken from
a figure accompanying
an obituary, in today’s
New York Times, of the
artist who drew the figure
.

The double helix
is not a structure
from magic; it may,
however, as the Rowling
quote above shows, have
certain occult uses,
better suited to
Don Henley’s
Garden of Allah
than to the
  Garden of Apollo.

Seven is Heaven...

Similarly, the three objects
above (Log24 on April 9)
are from pure mathematics–
the realm of Apollo, not
of those in Henley’s song.

The similarity of the
top object of the three —
the “Fano plane” — to
the “Deathly Hallows”
symbol is probably
entirely coincidental.

Monday July 30, 2007

Filed under: General — m759 @ 9:00 am
Garden Party
 
"And the serpent's eyes shine    
As he wraps around the vine…"

In The Garden of Allah

"But not, perhaps,
in the Garden of Apollo":

The Garden of Apollo: The 3x3 Grid

— "Garden Party" —
Log24, April 9, 2007

Related material:

"When, on the last day of February 1953 Francis told her excitedly of the double helix discovery, she took no notice: 'He was always saying that kind of thing.' But when nine years later she heard the news of the Nobel Prize while out shopping, she immediately rushed to the fishmonger for ice to fill the bath and cool the champagne: a party was inevitable."

— Matt Ridley on Odile Crick (The Independent, July 20, 2007), who drew what "may be the most famous [scientific] drawing of the 20th century, in that it defines modern biology," according to Terrence J. Sejnowski, a neuroscientist at the Salk Institute for Biological Studies in La Jolla quoted by Adam Bernstein in The Washington Post, July 21, 2007

See also "Game Boy"
(Log24 on the Feast
of the Transfiguration–
August 6, 2006):

The image “http://www.log24.com/log/pix06A/060806-Einsatz.jpg” cannot be displayed, because it contains errors.

Sunday, May 13, 2007

Sunday May 13, 2007

Filed under: General — m759 @ 12:31 pm

Prime Blue

“To the two gods of art, Apollo and Dionysus, we owe our recognition that… there is a tremendous opposition, as regards both origins and aims, between the Apolline art of the sculptor and the non-visual, Dionysiac art of music.”
The Birth of Tragedy,
    by Friedrich Nietzsche,
    Penguin, 1993, page 14.
    Quoted in “A Mass for Lucero.”

Half the Answer:
Commentary by spookytruth
from Log24, 2/22/2005:

“I mean, come on, Hunter, a stupid bullet through the head??? how creative, you brain-addled simpleton… if you take the assignment, if you are going to hook up your afterlife keyboard and transmit back and tell us about what it is REALLY like out there, if you decided to let your electric-shock fingers hot wire us the truth of the afterlife… if you really planned to tell us the answer to our ultimate, emotional question…… ‘does God prefer beer, wine, or a shot of whiskey.’ well, if that is what you decided to do well then, for God’s sake, don’t forget (oh, wait, yeah, you already DID FORGET, you half-baked, half brained, half witted, half-a-loaf, half pint pin head, you forgot, THE JOURNEY IS HALF THE ANSWER!!!!!!!!!!!!!!!!”

On Dionysus:

“For wine, he loves to view
    his altars stain,
 But prime blue ruin*–
    goes against the grain.”
— page 69, Jack Randall’s Diary

  *name “given by
   the modern Greeks to gin
— page 4, Jack Randall’s Diary

Sunday May 13, 2007

Filed under: General — m759 @ 5:01 am

After Winter

Apollo's Temple

Thursday, May 10, 2007

Thursday May 10, 2007

Filed under: General — m759 @ 10:00 pm
Riverdance

The image “http://www.log24.com/log/pix07/070510-Dance.jpg” cannot be displayed, because it contains errors.

The above scene from
The Best of Riverdance
furnishes an exercise in
what Victor Turner has called
comparative symbology.”

The circular symbol at top
may be seen as representing
the solar deity Apollo,
Leader of the Muses.

The nine female dancers
may be seen as
the nine muses,
with Jean Butler
at the center
as Terpsichore,
Muse of Dance.

Related Material —

ART WARS:
To Apollo

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

“This is the garden of Apollo,
the field of Reason….”
John Outram, architect

For another look at
Terpsichore in action,
see Jean Butler at
CRC Irish Dance Camp.

For those who prefer
a different sort of camp
there is of course
Xanadu.

I prefer Butler.

Monday, April 9, 2007

Monday April 9, 2007

Filed under: General — m759 @ 9:00 pm
Garden Party

“And the fruit is rotten;
 the serpent’s eyes shine
 as he wraps around the vine
in the Garden of Allah.
 
— Don Henley

But not, perhaps,
in the Garden of Apollo:

The Garden of Apollo: The 3x3 Grid

Click on the image
for further details.

Saturday, March 10, 2007

Saturday March 10, 2007

Filed under: General,Geometry — m759 @ 9:00 am

The Logic of Dreams

From A Beautiful Mind–

“How could you,” began Mackey, “how could you, a mathematician, a man devoted to reason and logical proof…how could you believe that extraterrestrials are sending you messages? How could you believe that you are being recruited by aliens from outer space to save the world? How could you…?”

Nash looked up at last and fixed Mackey with an unblinking stare as cool and dispassionate as that of any bird or snake. “Because,” Nash said slowly in his soft, reasonable southern drawl, as if talking to himself, “the ideas I had about supernatural beings came to me the same way that my mathematical ideas did. So I took them seriously.”

Ideas:

The image “http://www.log24.com/log/pix07/070309-NYlottery.jpg” cannot be displayed, because it contains errors.

The image “http://www.log24.com/log/pix07/070309-PAlottery.jpg” cannot be displayed, because it contains errors.

These numbers may, in the mad way so well portrayed by Sylvia Nasar in the above book, be regarded as telling a story… a story that should, of course, not be taken too seriously.

Friday’s New York numbers (midday 214, evening 711) suggest the dates 2/14 and 7/11.  Clicking on these dates will lead the reader to Log24 entries featuring, among others, T. S. Eliot and Stephen King– two authors not unacquainted with the bizarre logic of dreams.

A link in the 7/11 entry leads to a remark of Noel Gray on Plato’s Meno and “graphic austerity as the tool to bring to the surface, literally and figuratively, the inherent presence of geometry in the mind of the slave.”

Also Friday: an example of graphic austerity– indeed, Gray graphic austerity– in Log24:

Chessboard (Detail)

This illustration refers to chess rather than to geometry, and to the mind of an addict rather than to that of a slave, but chess and geometry, like addiction and slavery, are not unrelated.


Friday’s Pennsylvania numbers, midday 429 and evening 038, suggest that the story includes, appropriately enough in view of the above Beautiful Mind excerpt, Mackey himself.  The midday number suggests the date 4/29, which at Log24 leads to an entry in memory of Mackey.

(Related material: the Harvard Gazette of April 6, 2006, “Mathematician George W. Mackey, 90: Obituary“–  “A memorial service will be held at Harvard’s Memorial Church on April 29 at 2 p.m.“)

Friday’s Pennsylvania evening number 038 tells two other parts of the story involving Mackey…

As Mackey himself might hope, the number may be regarded as a reference to the 38 impressive pages of Varadarajan’s “Mackey Memorial Lecture” (pdf).

More in the spirit of Nash, 38 may also be taken as a reference to Harvard’s old postal address, Cambridge 38, and to the year, 1938, that Mackey entered graduate study at Harvard, having completed his undergraduate studies at what is now Rice University.

Returning to the concept of graphic austerity, we may further simplify the already abstract chessboard figure above to obtain an illustration that has been called both “the field of reason” and “the Garden of Apollo” by an architect, John Outram, discussing his work at Mackey’s undergraduate alma mater:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

Let us hope that Mackey,
a devotee of reason,
is now enjoying the company
of Apollo rather than that of
Tom O’Bedlam:

The image “http://www.log24.com/log/pix05A/050613-Crowe.jpg” cannot be displayed, because it contains errors.

For John Nash on his birthday:

I know more than Apollo,
For oft when he lies sleeping
I see the stars at mortal wars
In the wounded welkin weeping.

Tom O’Bedlam’s Song

Tuesday, December 19, 2006

Tuesday December 19, 2006

Filed under: General — Tags: — m759 @ 9:00 am
Joseph Barbera
at the Apollo


The 3x3 Grid

Click on picture
for related symbolism.

“This is the garden of Apollo,
the field of Reason….”
John Outram, architect

I need a photo-opportunity
I want a shot at redemption
Don’t want to end up a cartoon
In a cartoon graveyard
— Paul Simon

In memory of Joseph Barbera–
co-creator ot the Flintstones–
who died yesterday, a photo
from today’s Washington Post:

Joseph Barbera in Washington Post

Playing the role of
recording angel —

Halle Berry as
Rosetta Stone:

Halle Berry as Rosetta Stone

Related material:

Citizen Stone
and
Putting the X in Xmas.”

Sunday, December 10, 2006

Sunday December 10, 2006

Filed under: General,Geometry — m759 @ 9:00 am
The Librarian

"Like all men of the Library,
I have traveled in my youth."
— Jorge Luis Borges,
The Library of Babel

"Papá me mandó un artículo
de J. G. Ballard en el que
se refiere a cómo el lugar
de la muerte es central en
nuestra cultura contemporánea
."

— Sonya Walger,
interview dated September 14
(Feast of the Triumph of the Cross),
Anno Domini 2006

The image “http://www.log24.com/log/pix06B/061210-Quest.gif” cannot be displayed, because it contains errors.

Sonya Walger,
said to have been
born on D-Day,
the sixth of June,
in 1974

 

Walger's father is, like Borges,
from Argentina.
She "studied English Literature
at Christ Church College, Oxford,
where she received
    a First Class degree…. "

Wikipedia

"… un artículo de J. G. Ballard…."–

A Handful of Dust
, by J. G. Ballard

(The Guardian, March 20, 2006):

"… The Atlantic wall was only part of a huge system of German fortifications that included the Siegfried line, submarine pens and huge flak towers that threatened the surrounding land like lines of Teutonic knights. Almost all had survived the war and seemed to be waiting for the next one, left behind by a race of warrior scientists obsessed with geometry and death.

Death was what the Atlantic wall and Siegfried line were all about….

… modernism of the heroic period, from 1920 to 1939, is dead, and it died first in the blockhouses of Utah beach and the Siegfried line…

Modernism's attempt to build a better world with the aid of science and technology now seems almost heroic. Bertolt Brecht, no fan of modernism, remarked that the mud, blood and carnage of the first world war trenches left its survivors longing for a future that resembled a white-tiled bathroom.  Architects were in the vanguard of the new movement, led by Le Corbusier and the Bauhaus design school. The old models were thrown out. Function defined form, expressed in a pure geometry that the eye could easily grasp in its entirety."

The image “http://www.log24.com/theory/images/motto2.jpg” cannot be displayed, because it contains errors.
 
The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo,
the field of Reason…."
John Outram, architect 

(Click on picture for details.)

The image “http://www.log24.com/log/pix06B/061210-Holl.gif” cannot be displayed, because it contains errors.
The Left Hand of God, by Adolf Holl

Related material:

The Lottery of Babylon
and
the previous entry.
 

Monday, December 4, 2006

Monday December 4, 2006

Filed under: General — m759 @ 11:01 am
Descent of the God

The image “http://www.log24.com/log/pix06B/061204-Theo2.gif” cannot be displayed, because it contains errors.

Related material:

All Hallows’ Eve,
2005:

Multispeech

The image “http://www.log24.com/log/pix05B/Gameplayers12.jpg” cannot be displayed, because it contains errors.

as well as

C. S. Lewis,
That Hideous Strength,
Chapter 15,
“The Descent of the Gods,”

and
Charles Williams,
The Carol of Amen House“:

Beauty arose of old
And dreamed of a perfect thing,
Where none shall be angry or cold
Or armed with an evil sting;

Where the world shall be made anew,
For the gods shall breathe its air,
And Phoebus Apollo there-through
Shall move on a golden stair.

(For the musical score, see
The Masques of Amen House.)

See also
A Mass for Lucero.

Sunday, November 26, 2006

Sunday November 26, 2006

Filed under: General — m759 @ 7:26 am

Rosalind Krauss
in "Grids," 1979:

"If we open any tract– Plastic Art and Pure Plastic Art or The Non-Objective World, for instance– we will find that Mondrian and Malevich are not discussing canvas or pigment or graphite or any other form of matter.  They are talking about Being or Mind or Spirit.  From their point of view, the grid is a staircase to the Universal, and they are not interested in what happens below in the Concrete.

Or, to take a more up-to-date example…."

"He was looking at
the nine engravings
and at the circle,
checking strange
correspondences
between them."
The Club Dumas,1993

"And it's whispered that soon
if we all call the tune
Then the piper will lead us
to reason."
Robert Plant,1971

The nine engravings of
The Club Dumas
(filmed as "The Ninth Gate")
are perhaps more an example
of the concrete than of the
universal.

An example of the universal*–
or, according to Krauss, a
"staircase" to the universal–
is the ninefold square:

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

"This is the garden of Apollo,
the field of Reason…."
John Outram, architect    

For more on the field
of reason, see
Log24, Oct. 9, 2006.

A reasonable set of
"strange correspondences"
in the garden of Apollo
has been provided by Ezra Brown
in a mathematical essay (pdf).

Unreason is, of course,
more popular.

* The ninefold square is perhaps a "concrete universal" in the sense of Hegel:

"Two determinations found in all philosophy are the concretion of the Idea and the presence of the spirit in the same; my content must at the same time be something concrete, present. This concrete was termed Reason, and for it the more noble of those men contended with the greatest enthusiasm and warmth. Thought was raised like a standard among the nations, liberty of conviction and of conscience in me. They said to mankind, 'In this sign thou shalt conquer,' for they had before their eyes what had been done in the name of the cross alone, what had been made a matter of faith and law and religion– they saw how the sign of the cross had been degraded."

— Hegel, Lectures on the History of Philosophy, "Idea of a Concrete Universal Unity"

"For every kind of vampire,
there is a kind of cross."
— Thomas Pynchon   
 

Monday, October 9, 2006

Monday October 9, 2006

Filed under: General,Geometry — Tags: — m759 @ 9:00 am
ART WARS:
To Apollo

The image “http://www.log24.com/theory/images/grid3x3.gif” cannot be displayed, because it contains errors.

“This is the garden of Apollo,
the field of Reason….”
John Outram, architect

To Apollo (10/09/02)
Art Wars: Apollo and Dionysus
(10/09/02)
Balanchine’s Birthday
(01/09/03)
Art Theory for Yom Kippur
(10/05/03)
A Form
(05/22/04)
Ineluctable
(05/27/04)
A Form, continued
(06/05/04)
Parallelisms
(06/06/04)
Ado
(06/25/04)
Deep Game
(06/26/04)
Gameplayers of Zen
(06/27/04)
And So To Bed
(06/29/04)
Translation Plane for Rosh Hashanah
(09/15/04)
Derrida Dead
(10/09/04)
The Nine
(11/09/04)
From Tate to Plato
(11/19/04)
Art History
(05/11/05)
A Miniature Rosetta Stone
(08/06/05)
High Concept
(8/23/05) 
High Concept, Continued
(8/24/05)
Analogical Train of Thought
(8/25/05)
Today’s Sermon: Magical Thinking
(10/09/05)
Balance
(10/31/05)
Matrix
(11/01/05)
Seven is Heaven, Eight is a Gate
(11/12/05)
Nine is a Vine
(11/12/05)
Apollo and Christ
(12/02/05)
Hamilton’s Whirligig
(01/05/06)
Cross
(01/06/06)
On Beauty
(01/26/06)
Sunday Morning
(01/29/06)
Centre
(01/29/06)
New Haven
(01/29/06) 
Washington Ballet
(02/05/06)
Catholic Schools Sermon
(02/05/06)
The Logic of Apollo
(02/05/06)
Game Boy
(08/06/06)
Art Wars Continued: The Krauss Cross
(09/13/06)
Art Wars Continued: Pandora’s Box
(09/16/06)
The Pope in Plato’s Cave
(09/16/06)
Today’s Birthdays
(09/26/06)
Symbology 101
(09/26/06)

Saturday, September 16, 2006

Saturday September 16, 2006

Filed under: General — Tags: — m759 @ 11:07 am

Pandora's Box

Part I:
The Pandora Cross

"There is no painter in the West who can be unaware of the symbolic power of the cruciform shape and the Pandora's box of spiritual reference that is opened once one uses it."

— Rosalind Krauss in "Grids"


The image “http://www.log24.com/log/pix06A/060916-Art.jpg” cannot be displayed, because it contains errors.

(See Log24, Sept. 13)

Part II:
The Opening

Remarks by the Pope on Sept. 12,
as reported by the Vatican:

Faith, Reason, and the University:
Memories and Reflections

For the result of
the Pope's remarks, see
a transcript of
 yesterday's Google News
and the following
from BBC today:

The image “http://www.log24.com/log/pix06A/060916-Benedict16.jpg” cannot be displayed, because it contains errors.
Click to enlarge the screenshot.

Part III:
Hope

The New Yorker (issue of June 5, 2006) on the late Oriana Fallaci:

"In September [2005], she had a private audience with Pope Benedict XVI at Castel Gandolfo, his summer residence outside Rome. She had criticized John Paul II for making overtures to Muslims, and for not condemning terrorism heartily enough, but she has hopes for Joseph Ratzinger."

For further details, see yesterday's Log24.


Part IV:
The Sibyl's Song

The image “http://www.log24.com/log/pix06A/060916-MC7.GIF” cannot be displayed, because it contains errors.

— From The Magic Circle,
 a spiritual narrative
 by Katherine Neville

For more on "the long-mute voice
of the past," on "darkness beneath
the volcano," and on uncorking,
see Glory Season and Harrowing.

Related material from
Log24 on Dec. 2, 2005:

Benedict XVI, before he became Pope:

"… a purely harmonious concept of beauty is not enough…. Apollo, who for Plato's Socrates was 'the God' and the guarantor of unruffled beauty as 'the truly divine' is absolutely no longer sufficient."

A symbol of Apollo:

IMAGE- The ninefold square

and a related
Christian symbol,

The image �http://www.log24.com/log/pix05B/051202-Cross.gif� cannot be displayed, because it contains errors.

the Greek Cross
(adapted from
Ad Reinhardt).

Moral of the Pandora Cross:

"Nine is a very powerful Nordic number."
— Katherine Neville in The Magic Circle…

quoted in The Nine, a Log24 entry
for Hermann Weyl's birthday,
November 9, 2004.
 

Friday, September 1, 2006

Friday September 1, 2006

Filed under: General — Tags: — m759 @ 7:59 am
Dirty Business

Some friends of mine
are in this band
.”
— David Auburn, Proof 

The image “http://www.log24.com/log/pix06A/DarkSideOfTheMoon.jpg” cannot be displayed, because it contains errors.

And if the band you’re in
starts playing different tunes
I’ll see you on
the dark side of the moon.”

Quoted in Log24 on the
July 20, 2005, anniversary
of the 1969 Apollo 11
“one small step” moon landing

Last night’s entry on Glenn Ford, freemasonry, and the business of narrative leads to the following meditation.

This morning’s New York Times obituary of the Apollo 11 launch director brings back memories of Dean Martin’s classic refrain “when the moon hits your eye like a big pizza pie….”  This in turn is a reminder of one of the great subtitles– Dino: Living High in the Dirty Business of Dreams (by Nick Tosches, published by Secker & Warburg on November 9, 1992).  I respect the launch director, Rocco A. Petrone, who later headed the successful recovery of Apollo 13 (and also headed the entire Apollo program), but I also greatly respect Nick Tosches as a guide to the dark side of humanity.  Secular humanism and the religion of scientism are all very well as cheerleaders for physics, but Tosches and the Roman Catholic Church have a much better understanding of human nature and original sin.

Friday, August 4, 2006

Friday August 4, 2006

Filed under: General — Tags: — m759 @ 2:56 am

ART WARS
continued from
previous entry

In memory of
Elisabeth Schwarzkopf:

"Who is the fairest of them all?"

This question might
well be posed by…

The image “http://www.log24.com/log/pix05/050501-Krauss.jpg” cannot be displayed, because it contains errors.

Rosalind Krauss,
Meyer Schapiro Professor
of Modern Art and Theory
at Columbia University
(Ph.D., Harvard U., 1969).

"The grid is a staircase to the Universal….
We could think about Ad Reinhardt, who,
despite his repeated insistence that
'Art is art,'
ended up by painting a series of…
nine-square grids in which the motif
that inescapably emerges is
a Greek cross.

The image “http://www.log24.com/log/pix05B/051202-Cross.gif” cannot be displayed, because it contains errors.
Adapted from
Ad Reinhardt

There is no painter in the West
who can be unaware of
the symbolic power
of the cruciform shape and the
Pandora's box of spiritual reference
that is opened once one uses it."

— Rosalind Krauss in "Grids"

"Nine is a very powerful Nordic number."
— Katherine Neville, author of The Eight

Related material:

Balanchine's Birthday,

Apollo and Christ.
 

Friday August 4, 2006

Filed under: General,Geometry — m759 @ 2:12 am

ART WARS
Continued from
Nov. 25, 2005

The Frankfurter School

From today’s New York Times:

A review of a current Manhattan art exhibition

“It begins with a juxtaposition of early body-oriented videos by Mr. Nauman and Paul McCarthy, who, quickly following Mr. Nauman’s lead, was in his studio in Los Angeles videotaping home-alone performance pieces by 1970. The contrast is pure Apollo-versus-Dionysus.”

More on Paul McCarthy from artandculture.com:

“If you walk into a room and find everything you held dear in childhood degraded, chances are it’s a Paul McCarthy installation. McCarthy is known for shocking, sexually charged pieces that feature benign cartoon and pop-culture characters — Olive Oyl and Santa Claus, among others — in a bacchanalia of blood and feces.

The 1974 video ‘Hot Dog’ shoots to the heart of the adolescent ‘gross-out’ as McCarthy tapes his penis into a hot dog bun, then packs his pie hole full of franks and wraps himself in gauze. Another piece from the 70s called ‘Sailor’s Meat’ finds the artist dressed as a blonde hooker smeared with blood and ‘knowing’ a pile of raw meat….

Critics often compare his work with that of the Viennese Actionists whose performances were also characterized by gore, raw sexuality, and abused food.”

The image “http://www.log24.com/log/pix04B/041215-Frankfort.gif” cannot be displayed, because it contains errors.

Related material:
The Wiener Kreis in
yesterday’s 1:06 PM entry
and the five entries
ending the afternoon of
Nov. 25, 2005.

For an approach to art
more in the spirit of Apollo
than of Dionysus, see
Geometry for Jews.

Monday, May 22, 2006

Monday May 22, 2006

Filed under: General — m759 @ 1:06 pm
A Kind of Cross

Google Maps image
of the isle of Delos,
birthplace of Apollo:

The image “http://www.log24.com/log/pix06A/060522-Delos.jpg” cannot be displayed, because it contains errors.

“I faced myself that day with
the nonplused apprehension
of someone who has
come across a vampire
and has no crucifix in hand.”

— Joan Didion, “On Self-Respect,”
in Slouching Towards Bethlehem

“For every kind of vampire,
there is a kind of cross.”

— Thomas Pynchon,
  Gravity’s Rainbow

The image “http://www.log24.com/log/pix06A/060522-DelosCross1.jpg” cannot be displayed, because it contains errors.

Related material:

Mathematics and Narrative,

Secret Passages

Wednesday, February 8, 2006

Wednesday February 8, 2006

Filed under: General — m759 @ 5:11 pm
For Grammy Night

From A Mass for Lucero:

“To the two gods of art, Apollo and Dionysus, we owe our recognition that… there is a tremendous opposition, as regards both origins and aims, between the Apolline art of the sculptor and the non-visual, Dionysiac art of music.”
The Birth of Tragedy, by Friedrich Nietzsche, Penguin, 1993, page 14

Melody, then, is both primary and universal.” (Author’s italics)
— Nietzsche, op. cit., page 33

“…in so far as he interprets music in images, he himself lies amidst the peaceful waves of Apolline contemplation….”
— Nietzsche, op. cit., page 35

The image “http://www.log24.com/log/pix06/060208-Scarlett.jpg” cannot be displayed, because it contains errors.

Apolline Contemplation

From The Miracle of the Bells, by Russell Janney, Prentice-Hall, 1946, page 333–

“He was singing softly:
A pretty girl–
 is like a melody—- !
 But that was always
 Bill Dunnigan’s
 Song of Victory….
 Thus thought the…
 press agent for
‘The Garden of the Soul.'”

Older Posts »

Powered by WordPress