Log24

Thursday, September 7, 2017

Windmill vs. Diamond

Filed under: General — m759 @ 1:44 pm

"… I miss the black-and-whiteness of the 20th century."

Vanity Fair  editor Graydon Carter  in The New York Times  today

A note for Carter —

Wednesday, October 23, 2013

Windmills (continued)

Filed under: General — m759 @ 9:00 pm

See also "Where Madness Lies."

Saturday, December 24, 2022

Xmas with Moriarty:  Big Little Ideas

Filed under: General — Tags: , — m759 @ 5:01 am

For the Harvard Psychedelics Club

Wednesday, December 14, 2022

Plan 9 From Moriarty

Filed under: General — Tags: — m759 @ 2:00 am

Some related mathematical windmills —

IMAGE- The eight Galois quaternions

For the eight-limbed star at the top of the quaternion array
above, see "Damnation Morning" in this journal —

She drew from her handbag a pale grey gleaming 
implement that looked by quick turns to me like 
a knife, a gun, a slim sceptre, and a delicate 
branding iron—especially when its tip sprouted 
an eight-limbed star of silver wire.

“The test?” I faltered, staring at the thing.

“Yes, to determine whether you can live in 
the fourth dimension or only die in it.”

— Fritz Leiber, short story, 1959

See as well . . .

https://www.thecrimson.com/article/2022/12/13/
harvard-psychedelics-club-signet-society-art-show-2022/
.

Friday, November 18, 2022

A Little Theatre for Aaron Sorkin

Filed under: General — m759 @ 10:55 pm

… and a little night music —

Saturday, January 8, 2022

In Memoriam:  Lyricist Marilyn Bergman

Filed under: General — Tags: , , — m759 @ 2:25 pm

Bergman reportedly died today at 93.

Saturday, January 26, 2019

In Memory of a Composer

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

who reportedly died early today in Paris, a tribute from
those who wrote the English lyrics for "Windmills of Your Mind" —

Legrand tribute related to 'Eddington Song'

Thursday, December 14, 2017

Mind

Filed under: General — m759 @ 8:00 pm
 

Justin E. H. Smith


Detail from a Log24 post of last Sunday

Sunday, December 10, 2017

Interlacing, Interweaving

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

The above title should be sung to the following tune

"Right through hell
 there is a path…."
 — Malcolm Lowry,
Under the Volcano

Tuesday, March 8, 2016

Hook

Filed under: General — m759 @ 11:00 am

Song lyric

"Like the circles that you find
 in the windmills of your mind"

See also, in this journal, "An Awfully Big Adventure."

Sunday, December 13, 2015

Another Opening, Another Show

Filed under: General — Tags: , — m759 @ 10:30 pm

Ben Brantley in tonight's online review of a show that
reportedly opened off-Broadway on Dec. 10, 2015 —

" 'Mattress' has its charms, but they do wear thin. "

See also The New York Times  on Martin Gardner  Nov. 30:

A companion image from this  journal
on the "Mattress" opening date —

Images of time and eternity in a 1x4x9 black monolith, featuring Vonnegut's Star

Midrash:
Vonnegut Asterisk

Thursday, December 10, 2015

Strange Myths

Filed under: General — m759 @ 4:00 am

Peter Schjeldahl in the current (Dec. 14) New Yorker :

The phrase “outsider art” was coined in 1972 by a
British art historian, Roger Cardinal, to translate
the sense of “art brut ,” which Dubuffet had
considered rendering as art “raw,” “uncouth,” “crude,”
or “in the rough.” But the term misses the full thrust
of Dubuffet’s elevation of “people uncontaminated
by artistic culture,” as he called them. He aspired not
to make outsiders respectable but to destroy the
complacency of insiders. He disqualified even tribal
and folk artists, and spirited amateurs like Henri
Rousseau, for being captive to one tradition or another.
Art brut  must be sui generis, from the hands and minds
of “unique, hypersensitive men, maniacs, visionaries,
builders of strange myths.”

The literary  art of Fritz Leiber and Stephen King seems to
fit this definition.

Somewhat less brut — the literary art of Plato.

A non-literary illustration:

Images of time and eternity in a 1x4x9 black monolith

  Time as "a moving
   image of eternity.”
       — Plato   

Wednesday, December 9, 2015

Eternity (Not by Calvin Klein*)

Filed under: General — m759 @ 10:18 am

The two symbols on the monolith

Images of time and eternity in a 1x4x9 black monolith

may, if one likes, be interpreted 
as standing for Damnation Morning 
and for the Windmill of Time.

* "Award-winning fashion icon."
Harvard Graduate School of Design

Saturday, October 10, 2015

The Mirror of Understanding

Filed under: General,Geometry — m759 @ 11:00 pm

From The Snow Queen , by Hans Christian Andersen —

SEVENTH STORY. What Took Place in the Palace of the Snow Queen, and What Happened Afterward

The walls of the palace were of driving snow, and the windows and doors of cutting winds. There were more than a hundred halls there, according as the snow was driven by the winds. The largest was many miles in extent; all were lighted up by the powerful Aurora Borealis, and all were so large, so empty, so icy cold, and so resplendent! Mirth never reigned there; there was never even a little bear-ball, with the storm for music, while the polar bears went on their hindlegs and showed off their steps. Never a little tea-party of white young lady foxes; vast, cold, and empty were the halls of the Snow Queen. The northern-lights shone with such precision that one could tell exactly when they were at their highest or lowest degree of brightness. In the middle of the empty, endless hall of snow, was a frozen lake; it was cracked in a thousand pieces, but each piece was so like the other, that it seemed the work of a cunning artificer. In the middle of this lake sat the Snow Queen when she was at home; and then she said she was sitting in the Mirror of Understanding, and that this was the only one and the best thing in the world.

Little Kay was quite blue, yes nearly black with cold; but he did not observe it, for she had kissed away all feeling of cold from his body, and his heart was a lump of ice. He was dragging along some pointed flat pieces of ice, which he laid together in all possible ways, for he wanted to make something with them; just as we have little flat pieces of wood to make geometrical figures with, called the Chinese Puzzle. Kay made all sorts of figures, the most complicated, for it was an ice-puzzle for the understanding. In his eyes the figures were extraordinarily beautiful, and of the utmost importance; for the bit of glass which was in his eye caused this. He found whole figures which represented a written word; but he never could manage to represent just the word he wanted–that word was "eternity"; and the Snow Queen had said, "If you can discover that figure, you shall be your own master, and I will make you a present of the whole world and a pair of new skates." But he could not find it out.

"I am going now to warm lands," said the Snow Queen. "I must have a look down into the black caldrons." It was the volcanoes Vesuvius and Etna that she meant. "I will just give them a coating of white, for that is as it ought to be; besides, it is good for the oranges and the grapes." And then away she flew, and Kay sat quite alone in the empty halls of ice that were miles long, and looked at the blocks of ice, and thought and thought till his skull was almost cracked. There he sat quite benumbed and motionless; one would have imagined he was frozen to death. ….

Related material:

This journal on March 25, 2013:

Images of time and eternity in a 1x4x9 black monolith

Wednesday, July 1, 2015

Borges on Chess

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

Chess

by Jorge Luis Borges, translated by 
Dale Favier, posted by Favier on
June 27, 2015 —

I

In their serious corner….

II

Weak king, biased bishop ….

… they do not know
that an adamantine rigor
subjects their will and their journey.
….

Ajedrez

I

En su grave rincón, los jugadores
rigen las lentas piezas. El tablero
los demora hasta el alba en su severo
ámbito en que se odian dos colores.

Adentro irradian mágicos rigores
las formas: torre homérica, ligero
caballo, armada reina, rey postrero,
oblicuo alfil y peones agresores.

Cuando los jugadores se hayan ido,
cuando el tiempo los haya consumido,
ciertamente no habrá cesado el rito.

En el Oriente se encendió esta guerra
cuyo anfiteatro es hoy toda la tierra.
Como el otro, este juego es infinito.

II

Tenue rey, sesgo alfil, encarnizada
reina, torre directa y peón ladino
sobre lo negro y blanco del camino
buscan y libran su batalla armada.

No saben que la mano señalada
del jugador gobierna su destino,
no saben que un rigor adamantino
sujeta su albedrío y su jornada.

También el jugador es prisionero
(la sentencia es de Omar) de otro tablero
de negras noches y blancos días.

Dios mueve al jugador, y éste, la pieza.
¿Qué Dios detrás de Dios la trama empieza
de polvo y tiempo y sueño y agonías?

As for "adamantine rigor," see the final link,
to "Windmill and Diamond," in the post on
the day of Bobby Fischer's death.

The image “http://www.log24.com/log/pix06B/061122-TimeEternity.gif” cannot be displayed, because it contains errors.

Monday, February 23, 2015

Symbolic Poetry*

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

“When life itself seems lunatic,
who knows where madness lies?

Man of La Mancha

Windmill of Time and Diamond of Eternity

Perhaps the late Sidney Lumet?

           The setting for the Sidney Lumet film "Deathtrap" (1982)

* Continued from yesterday's Backstory and Sermon.

Friday, March 28, 2014

Symbol

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

For Josefine Lyche, by fellow artist  Nuno Borges:

Related material:

Recent remarks by Lyche and
a recurring image from this journal.

Monday, August 19, 2013

Noon

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

Last midnight's post quoted poet John Hollander
on Cervantes—

"… the Don’s view of the world is correct at midnight,
and Sancho’s at noon."

The post concluded with a figure that might, if
rotated slightly, be regarded as a sort of Star of
David or Solomon's Seal. The figure's six vertices
may be viewed as an illustration of Pascal's
"mystic hexagram."

Pacal's hexagram is usually described
as a hexagon inscribed in a conic
(such as a circle). Clearly the hexagon
above may be so inscribed.

The figure suggests that last midnight's Don be
played by the nineteenth-century mathematician
James Joseph Sylvester. His 1854 remarks on
the nature of geometry describe a different approach
to the Pascal hexagram—

"… the celebrated theorem of Pascal known under the name of the Mystic Hexagram, which is, that if you take two straight lines in a plane, and draw at random other straight lines traversing in a zigzag fashion between them, from A in the first to B in the second, from B in the second to C in the first, from C in the first to D in the second, from D in the second to E in the first, from E in the first to F in the second and finally from F in the second back again to A the starting point in the first, so as to obtain ABCDEF a twisted hexagon, or sort of cat's-cradle figure and if you arrange the six lines so drawn symmetrically in three couples: viz. the 1st and 4th in one couple, the 2nd and 5th in a second couple, the 3rd and 6th in a third couple; then (no matter how the points ACE have been selected upon one of the given lines, and BDF upon the other) the three points through which these three couples of lines respectively pass, or to which they converge (as the case may be) will lie all in one and the same straight line."

For a Sancho view of Sylvester's "cat's cradle," see some twentieth-century
remarks on "the most important configuration of all geometry"—

"Now look, your grace," said Sancho,
"what you see over there aren't giants,
but windmills, and what seems to be arms
are just their sails, that go around in the wind
and turn the millstone."
"Obviously," replied Don Quijote,
"you don't know much about adventures.”

― Miguel de Cervantes Saavedra

Monday, March 25, 2013

Brightness at Noon

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

The two symbols on the monolith from yesterday

Images of time and eternity in a 1x4x9 black monolith

— may, if one likes, be interpreted as standing for
Damnation Morning and for the Windmill of Time
(alternately, as motifs for a ukara cloth).

The above explanation may help those confused by
knight's-move discourse like that described by
Jemima in The Eiger Sanction .

Sunday, March 24, 2013

Monolith for Maggie…

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

Images of time and eternity in a 1x4x9 black monolith

And for Deborah Mills

Related material: The Cloth.

Friday, July 3, 2009

Friday July 3, 2009

Filed under: General — Tags: — m759 @ 6:00 am
Damnation Morning
continued

“The tigers of wrath are wiser
    than the horses of instruction.”

Blake

“… the moment is not
properly an atom of time
 but an atom of eternity.
 It is the first reflection
 of eternity in time, its first
attempt, as it were, at
       stopping time….”
 
Kierkegaard

Symmetry Axes
of the Square:

Symmetry axes of the square

(Damnation Morning)

From the cover of the
 Martin Cruz Smith novel
Stallion Gate:

Image of an atom from the cover of the novel 'Stallion Gate'

A Monolith
for Kierkegaard:


Images of time and eternity in memory of Michelangelo


Todo lo sé por el lucero puro
que brilla en la diadema de la Muerte.

Rubén Darío

Related material:

The deaths of
 Ernest Hemingway
on the morning of
Sunday, July 2, 1961,
and of Alexis Arguello
on the morning of
Wednesday, July 1, 2009.
See also philosophy professor
Clancy Martin in the
London Review of Books
(issue dated July 9, 2009)
 on AA members as losers
“the ‘last men,’ the nihilists,
 the hopeless ones.”

Thursday, May 28, 2009

Thursday May 28, 2009

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

At right below, an image from the opening of Fox Studios Australia in Sydney on November 7, 1999.  The Fox ceremonies included, notably, Kylie Minogue singing “Diamonds are a Girl’s Best Friend.”

Red Windmill

Windmill image from diamond theory

Kylie Minogue

Kylie Minogue

For the mathematical properties of the red windmill (moulin rouge) figure at left, see Diamond Theory.

“There comes a time when you have
  learned enough to decide whether
  the way of the Craft is for you….

 First you will need to 
   prepare your sacred space….

 Calling the Corners (or Quarters)
  is something you will always do.”

— “Becoming a Witch” webpage

In related news:

CBS Evening News-- 'New York's Newest  Ballpark'

Happy birthday, Kylie.

Saturday, March 28, 2009

Saturday March 28, 2009

Filed under: General — m759 @ 1:00 pm
In memory of
film producer
Steven Bach:

Heaven's Gate (a link in memory of Steven Bach)
 
Xanga footprint from Denmark 3/28/09 7:49 AM leading to Rohatsu Venus entry of 12/8/03
 

Images of time and eternity in memory of Michelangelo

“Time: the moving
  image of eternity.”
Plato   

Happy birthday,
Reba McEntire

Sunday, October 12, 2008

Sunday October 12, 2008

Filed under: General,Geometry — Tags: — m759 @ 2:22 am
“Elegant”

— Today’s New York Times
review of the Very Rev.
Francis Bowes Sayre Jr.

Related material:

Log24 entries from
the anniversary this
year of Sayre’s birth
and from the date
of his death:

A link from the former
suggests the following
graphic meditation–

The Windmill of Time and the Diamond of Eternity
(Click on figure for details.)

A link from the latter
suggests another
graphic meditation–

A 2x4 array of squares

(Click on figure for details.)

Although less specifically
American than the late
Reverend, who was
born in the White House,
hence perhaps irrelevant
to his political views,
these figures are not
without relevance to
his religion, which is
more about metanoia
than about paranoia.

Tuesday, May 27, 2008

Tuesday May 27, 2008

Filed under: General — m759 @ 2:02 pm
For Sydney Pollack
(See last night’s entry.)

“Now, gentlemen,
I give you
our latest acquisition
from the enemy.”

Paths of Glory   

Final scene from 'Paths of Glory'

Note the number, 701,
on the colonel’s collar.

Adapted from Log24,
February 19-22, 2008:

“‘This is the last call for Jaunt-701,’
 the pleasant female voice echoed
 through the Blue Concourse
of 
New York’s
     Port Authority Terminal….

Images of time and eternity in memory of Michelangelo
See 2/22/08,
 4/19/08,
and 5/22/08.

….’What happened?’
one of the scientists shouted….

‘It’s eternity in there,’ he said,
and dropped dead….”


— Stephen King, “The Jaunt

Die Liebe nahm kein Ende mehr.

Thursday, May 22, 2008

Thursday May 22, 2008

Filed under: General,Geometry — Tags: , — m759 @ 9:00 am
The Undertaking:
An Exercise in
Conceptual Art

I Ching hexagram 54: The Marrying Maiden

Hexagram 54:
THE JUDGMENT

Undertakings bring misfortune.
Nothing that would further.

The image “http://www.log24.com/log/pix08/080522-Irelandslide1.jpg” cannot be displayed, because it contains errors.

Brian O’Doherty, an Irish-born artist,
before the [Tuesday, May 20] wake
of his alter ego* ‘Patrick Ireland’
on the grounds of the
Irish Museum of Modern Art.”
New York Times, May 22, 2008    

THE IMAGE

Thus the superior man
understands the transitory
in the light of
the eternity of the end.

Another version of
the image:

Images of time and eternity in memory of Michelangelo
See 2/22/08
and  4/19/08.


Related material:

Michael Kimmelman in today’s New York Times

“An essay from the ’70s by Mr. O’Doherty, ‘Inside the White Cube,’ became famous in art circles for describing how modern art interacted with the gallery spaces in which it was shown.”

Brian O’Doherty, “Inside the White Cube,” 1976 Artforum essays on the gallery space and 20th-century art:

“The history of modernism is intimately framed by that space. Or rather the history of modern art can be correlated with changes in that space and in the way we see it. We have now reached a point where we see not the art but the space first…. An image comes to mind of a white, ideal space that, more than any single picture, may be the archetypal image of 20th-century art.”

An archetypal image

THE SPACE:

The Eightfold Cube: The Beauty of Klein's Simple Group

A non-archetypal image

THE ART:

Jack in the Box, by Natasha Wescoat

Natasha Wescoat, 2004
See also Epiphany 2008:

How the eightfold cube works

“Nothing that would further.”
— Hexagram 54

Lear’s fool:

 …. Now thou art an 0
without a figure. I am better
than thou art, now. I am a fool;
thou art nothing….

“…. in the last mystery of all the single figure of what is called the World goes joyously dancing in a state beyond moon and sun, and the number of the Trumps is done.  Save only for that which has no number and is called the Fool, because mankind finds it folly till it is known.  It is sovereign or it is nothing, and if it is nothing then man was born dead.”

The Greater Trumps,
by Charles Williams, Ch. 14

* For a different, Jungian, alter ego, see Irish Fourplay (Jan. 31, 2003) and “Outside the Box,” a New York Times review of O’Doherty’s art (featuring a St. Bridget’s Cross) by Bridget L. Goodbody dated April 25, 2007. See also Log24 on that date.

Thursday, May 8, 2008

Thursday May 8, 2008

Filed under: General — m759 @ 4:48 pm
Synchronicity,
Part Deux

Footprints at Log24 on the afternoon of May 8, 2008, including two from France

From
“On the Holy Trinity,”
the entry in the 3:20 PM
French footprint:

“…while the scientist sees
everything that happens
in one point of space,
the poet feels
everything that happens
in one point of time…
all forming an
instantaneous and transparent
organism of events….”

Vladimir Nabokov

From
“Angel in the Details,”
 the entry in the 3:59 PM
French footprint:

“I dwell in Possibility –
A fairer House than Prose”

Emily Dickinson

These, along with this afternoon’s
earlier entry, suggest a review
of a third Log24 item, Windmills,
with an actress from France as…

Changing Woman:

“Kaleidoscope turning…

Juliette Binoche in 'Blue'  The 24 2x2 Cullinane Kaleidoscope animated images

Shifting pattern
within unalterable structure…”
— Roger Zelazny, Eye of Cat  

“When life itself seems lunatic,
who knows where madness lies?”

— For the source, see 
Joyce’s Nightmare Continues.

Saturday, April 19, 2008

Saturday April 19, 2008

Filed under: General — m759 @ 4:30 am
Shine On

(Continued from
April 21, 2007)

From “Today in History,”
by the Associated Press–

April 19, 2008–
“On this date….  
Ten years ago….
Mexican poet-philosopher
Octavio Paz died at age 84.”

“Mexico is a solar country–
but it is also a black country,
a dark country. This duality
of Mexico has preoccupied
me since I was a child.”

Octavio Paz, as quoted
   by Homero Aridjis

“And the light shineth in
darkness; and the darkness
comprehended it not.”
— John 1:5  

Images of time and eternity in memory of Michelangelo

Ya la ronda
  llega aquí

Friday, April 11, 2008

Friday April 11, 2008

Filed under: General — m759 @ 12:48 am

.- El Arzobispo Emérito de México, Cardenal Ernesto Corripio Ahumada, falleció esta mañana a las 05:30 a.m., en su domicilio….

of literary “signature passages” —

Don Quixote -- 'wasteland and crossroad places'

Images of time and eternity in memory of Michelangelo

Ya la ronda
  llega aquí

Friday, February 22, 2008

Friday February 22, 2008

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

“Philosophers ponder
the idea of identity:
what it is to give
something a name
on Monday
and have it respond
to that name
   on Friday….”

— Bernard Holland in
   The New York Times
  
Monday, May 20, 1996

Associated Press,
Today in History,
Monday, Feb. 18, 2008:

On this date:

In 1564,
artist Michelangelo
died in Rome.

Images of time and eternity in a 1x4x9 black monolith

Non ha l’ottimo artista in se alcun concetto,
Ch’un marmo solo in se non circoscriva
Col suo soverchio; e solo a quello arriva
La man che ubbidisce all’intelletto.
(The best artist has in himself no concept
in a single block of marble not contained;
only the hand obeying mind will find it.)
— Michelangelo, as quoted
by Erwin Panofsky in

Idea: A Concept
in Art Theory

Todo lo sé por el lucero puro
que brilla en la diadema de la Muerte

— Rubén Darío

Related material:
Yesterday’s entry
and Anthony Lane
in this week’s
New Yorker:

“… the whole of ‘Jumper’ comes across as vastly incurious about the cultures at its command. When David takes Millie (Rachel Bilson), a school friend from Michigan, for a dirty day out in Rome, she stands in awe before the Colosseum. ‘This place is amazing,’ she declares. ‘It’s so cool.’ I wasn’t expecting Ernst Gombrich….”

Thursday, January 17, 2008

Thursday January 17, 2008

Filed under: General — Tags: , — m759 @ 5:24 pm
Well, she was
   just seventeen…
 
(continued)

"Mazur introduced the topic of prime numbers with a story from Don Quixote in which Quixote asked a poet to write a poem with 17 lines. Because 17 is prime, the poet couldn't find a length for the poem's stanzas and was thus stymied."

— Undated American Mathematical Society news item about a Nov. 1, 2007, event

Related material:

Desconvencida,
Jueves, Enero 17, 2008

Horses of a Dream
(Log24, Sept. 12, 2003)

Knight Moves
(Log24 yesterday–
anniversary of the
Jan. 16 publication
of Don Quixote)

Windmill and Diamond
(St. Cecilia's Day 2006)

Sunday, February 18, 2007

Sunday February 18, 2007

Filed under: General — Tags: — m759 @ 10:30 am
Further Adventures
in Harvard Iconology

The image “http://www.log24.com/log/pix06A/061001-Langdon2.jpg” cannot be displayed, because it contains errors.

The next novel starring
Robert Langdon, Harvard author
of "the renowned collegiate
texbook Religious Iconology"
is said to be titled
The Solomon Key.

Related material–

The Harvard Crimson online:

Fishburne To Receive Honors at Cultural Rhythms
Acclaimed actor and humanitarian chosen as the Harvard Foundation's Artist of the Year


Friday, February 16, 2007
9:37 PM

Tony and Emmy Award-winning actor Laurence Fishburne will take the stage later this month as the 2007 Artist of the Year during the 22nd annual Cultural Rhythms festival, the Harvard Foundation for Intercultural and Race Relations announced Friday afternoon.

The image “http://www.log24.com/log/pix07/070218-Morpheus.jpg” cannot be displayed, because it contains errors.
Fishburne
as Morpheus

"Metaphor for Morphean morphosis,
Dreams that wake, transform, and die,
Calm and lucid this psychosis,
Joyce's nightmare in Escher's eye….

Dabo claves regni caelorum.  By silent shore
Ripples spread from castle rock.  The metaphor
For metamorphosis no keys unlock."

— Steven H. Cullinane,
  November 7, 1986,
"Endgame"

More on metamorphosis–

Cat's Yarn
(Log24, June 20, 2006):

"The end is where
   we start from."

T. S. Eliot


The image “http://www.log24.com/log/pix06A/060620-Garfield156w.jpg” cannot be displayed, because it contains errors.The image “http://www.log24.com/log/pix06A/060620-Donut-Cup.gif” cannot be displayed, because it contains errors.The image “http://www.log24.com/log/pix06A/060620-Garfield144w.jpg” cannot be displayed, because it contains errors.

plus.maths.org
and
Garfield 2003-06-24

See also:

Zen Koan
and
  Blue Dream.

Update of 5:24 PM
Feb. 18, 2007:

A Xanga footprint from France
this afternoon (3:47 PM EST)
indicates that someone there
may be interested in the above
poem's "claves regni caelorum."

The visitor from France viewed
"Windmills" (Nov. 15, 2005).
Material related to that entry
may be found in various places
at Log24.com.  See particularly
"Shine On, Hermann Weyl," and
entries for Women's History
Month
last year that include
"Christ at the Lapin Agile."

Wednesday, November 22, 2006

Wednesday November 22, 2006

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

Windmill and Diamond

From “Today in History,”
by The Associated Press:

On this date:

In 1965, the musical
“Man of La Mancha”
opened in New York.

In 1975, Juan Carlos
was proclaimed
King of Spain.

Today’s birthdays:

… Movie director
Arthur Hiller is 83….

Hiller directed the 1972 film
of “Man of La Mancha.”

A quotation from that film:

“When life itself seems lunatic,
who knows where madness lies?”

Adapted from Log24 entries of
Jan. 5, 2003, and Feb. 1, 2003:

The image “http://www.log24.com/log/pix06B/061122-TimeEternity.gif” cannot be displayed, because it contains errors.

One can approach these symbols in either a mathematical or a literary fashion. For a mathematical discussion of the symbols’ structure, see Theme and Variations. Those who prefer literary discussions may make up their own stories.

 
“Plato is wary of all forms of rapture other than reason’s. He is most deeply leery of, because himself so susceptible to, the literary imagination. He speaks of it as a kind of holy madness or intoxication and goes on to link it to Eros, another derangement that joins us, but very dangerously, with the gods.”
 
Rebecca Goldstein in
    The New York Times,
    December 16, 2002 
 
“It’s all in Plato, all in Plato;
bless me, what do they
teach them at these schools?”
 
— C. S. Lewis in
The Narnia Chronicles

Wednesday, November 16, 2005

Wednesday November 16, 2005

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

Adam Gopnik on C. S. Lewis in this week's New Yorker:
 
"Lewis began with a number of haunted images…."

"The best of the books are the ones… where the allegory is at a minimum and the images just flow."

"'Everything began with images,' Lewis wrote…."

"We go to the writing of the marvellous, and to children’s books, for stories, certainly, and for the epic possibilities of good and evil in confrontation, not yet so mixed as they are in life. But we go, above all, for imagery: it is the force of imagery that carries us forward. We have a longing for inexplicable sublime imagery…."

"The religious believer finds consolation, and relief, too, in the world of magic exactly because it is at odds with the necessarily straitened and punitive morality of organized worship, even if the believer is, like Lewis, reluctant to admit it. The irrational images– the street lamp in the snow and the silver chair and the speaking horse– are as much an escape for the Christian imagination as for the rationalist, and we sense a deeper joy in Lewis’s prose as it escapes from the demands of Christian belief into the darker realm of magic. As for faith, well, a handful of images is as good as an armful of arguments, as the old apostles always knew."

Related material:

The image “http://www.log24.com/log/pix05B/051116-Time.jpg” cannot be displayed, because it contains errors.

Click on pictures for details.

See also Windmills and
Verbum sat sapienti?
as well as

an essay

 at Calvin College
on Simone Weil,
Charles Williams,
Dante, and
"the way of images."

Tuesday, November 15, 2005

Tuesday November 15, 2005

Filed under: General,Geometry — m759 @ 11:07 am
Windmills
 
The image “http://www.log24.com/log/pix05B/051115-StarRocks1.jpg” cannot be displayed, because it contains errors.

Upper part of above picture–

From today’s New York Times,
Seeing Mountains in
Starry Clouds of Creation.

Lower part of above picture–
Pilgrimage to Spider Rock:

“This magical place, according to Navajo Legend, was the home of Spider Woman, who gave the gift of weaving to the Dineh’ People.  Today’s Navajos trace the excellence of their finest textiles to this time of legends, when their patron, Changing Woman, met Spider Woman, the first Weaver.”

Vine Deloria Jr.,
 
Evolution, Creationism,
and Other Modern Myths:

“The continuing struggle between evolutionists and creationists, a hot political topic for the past four decades, took a new turn in the summer of 1999 when the Kansas Board of Education voted to omit the mention of evolution in its newly approved curriculum, setting off outraged cries of foul by the scientific establishment.  Don Quixotes on both sides mounted their chargers and went searching for windmills.”

Related material–

A figure from
last night’s entry,
Spider Woman:

Fritz Leiber's 'Spider' symbol

From Sunday, the day
of Vine Deloria’s death,
a picture that might be
called Changing Woman:

  

Kaleidoscope turning…
Shifting pattern
within unalterable structure…
— Roger Zelazny, Eye of Cat     

See also the windmill figure

The image “http://www.log24.com/theory/images/Whirl3.gif” cannot be displayed, because it contains errors.

in Time and Eternity
(Log 24, Feb. 1, 2003)

and

a review
of Fritz Leiber’s
The Big Time,

The image “http://www.log24.com/log/pix05B/051115-BigTimePic.jpg” cannot be displayed, because it contains errors.

a story that works.”

Monday, February 24, 2003

Monday February 24, 2003

Filed under: General — m759 @ 4:17 am

Moulins Rouges

Today is the birthday of composer Michel Legrand (“The Windmills of Your Mind”) and of philologist Wilhelm Grimm (Grimms’ Fairy Tales).


Red
Windmill
 


Red
Mill


 Rode
 Molen

See the following past entries:

October 6, 2002: “Twenty-first Century Fox”

November 7, 2002: “Endgame”

November 8, 2002: “Religious Symbolism at Princeton”

January 5, 2003: “Whirligig”

January 5, 2003: “Culinary Theology”

January 6, 2003: “Dead Poet in the City of Angels”

January 31, 2003: “Irish Fourplay”

February 1, 2003; “Time and Eternity”

February 5, 2003: “Release Date”

Saturday, February 1, 2003

Saturday February 1, 2003

Filed under: General — Tags: — m759 @ 5:10 am

Time and Eternity

 



Kali figure

 


Shiva figure

 

 


Windmill

 


Victory

Yesterday's meditation on St. Bridget suggests the above graphic summary of two rather important philosophical concepts. Representing Kali, or Time, is Judy Davis in "The New Age." Representing Shiva, or Eternity, is sword-saint Michioka Yoshinori-sensei.  The relationship between these two concepts is summarized very neatly by Heinrich Zimmer in his section on the Kalika Purana in The King and the Corpse.

The relationship is also represented graphically by the "whirl" of Time and the "diamond" of Eternity.

On this day in 1944, Mondrian died.  Echoes of the graphic whirl and diamond may be found (as shown above) in his "Red Mill" and "Victory Boogie-Woogie."

Sunday, January 5, 2003

Sunday January 5, 2003

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

Whirligig

Thus the whirligig of time brings in his revenges.
Twelfth Night. Act v. Sc. 1.

Twelfth night is the night of January 5-6.

Tonight is twelfth night in Australia; 4 AM Jan. 5
in New York City is 8 PM Jan. 5 in Sydney.


An October 6 entry:

Twenty-first Century Fox

On Sunday, October 6, 1889, the Moulin Rouge music hall opened in Paris, an event that to some extent foreshadowed the opening of Fox Studios Australia in Sydney on November 7, 1999.  The Fox ceremonies included, notably, Kylie Minogue singing "Diamonds are a Girl's Best Friend." 

 

Red Windmill

Kylie Minogue

For the mathematical properties of the red windmill (moulin rouge) figure at left, see Diamond Theory.

An October 5 entry:

The Message from Vega

"Mercilessly tasteful"
 — Andrew Mueller,
review of Suzanne Vega's
"Songs in Red and Gray"


In accordance with the twelfth-night
"whirligig of time" theme,
here are two enigmatic quilt blocks:

Devil's Claws, or
Hourglass Var. 3

Yankee Puzzle, or
Hourglass Var. 5

 
One can approach these symbols in either a literary or a mathematical fashion. For a purely mathematical discussion of the differences in the two symbols' structure, see Diamond Theory. Those who prefer literary discussions may make up their own stories.
 
"Plato is wary of all forms of rapture other than reason's. He is most deeply leery of, because himself so susceptible to, the literary imagination. He speaks of it as a kind of holy madness or intoxication and goes on to link it to Eros, another derangement that joins us, but very dangerously, with the gods."
 
Rebecca Goldstein in The New York Times,
    December 16, 2002 
 
"It's all in Plato, all in Plato; bless me,
what do they teach them at these schools?"
 
— C. S. Lewis in the Narnia Chronicles 

Friday, November 8, 2002

Friday November 8, 2002

Filed under: General,Geometry — m759 @ 3:33 am

Religious Symbolism
at Princeton

In memory of Steve McQueen (“The Great Escape” and “The Thomas Crown Affair”… see preceding entry) and of Rudolf Augstein (publisher of Der Spiegel), both of whom died on November 7 (in 1980 and 2002, respectively), in memory of the following residents of

The Princeton Cemetery
of the Nassau Presbyterian Church
Established 1757

SYLVIA BEACH (1887-1962), whose father was pastor of the First Presbyterian Church, founded Shakespeare & Company, a Paris bookshop which became a focus for struggling expatriate writers. In 1922 she published James Joyce’s Ulysses when others considered it obscene, and she defiantly closed her shop in 1941 in protest against the Nazi occupation.

KURT GÖDEL (1906-1978), a world-class mathematician famous for a vast array of major contributions to logic, was a longtime professor at the Institute for Advanced Study, founded in 1930. He was a corecipient of the Einstein Award in 1951.

JOHN (HENRY) O’HARA (1905-1970) was a voluminous and much-honored writer. His novels, Appointment in Samarra (1934) and Ten North Frederick (1955), and his collection of short stories, Pal Joey (1940), are among his best-known works.

and of the long and powerful association of Princeton University with the Presbyterian Church, as well as the theological perspective of Carl Jung in Man and His Symbols, I offer the following “windmill,” taken from the Presbyterian Creedal Standards website, as a memorial:

The background music Les Moulins de Mon Coeur, selected yesterday morning in memory of Steve McQueen, continues to be appropriate.

“A is for Anna.”
— James Joyce

Sunday, October 6, 2002

Sunday October 6, 2002

Filed under: General — m759 @ 4:40 am

Twenty-first Century Fox

On Sunday, October 6, 1889, the Moulin Rouge music hall opened in Paris, an event that to some extent foreshadowed the opening of Fox Studios Australia in Sydney on November 7, 1999.  The Fox ceremonies included, notably, Kylie Minogue singing “Diamonds are a Girl’s Best Friend.” 

Red Windmill

Kylie Minogue

For the mathematical properties of the red windmill (moulin rouge) figure at left, see Diamond Theory.

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