Log24

Sunday, November 12, 2017

Devil’s Music

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

From the groom in the previous post — Swedenborg Chapel

And from November 7 last year —

Monday, November 7, 2016

Subway Art for Times Square Church

Filed under: Uncategorized — m759 @ 9:11 PM 

Click images for related material.

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

"The Cardinal seemed a little preoccupied today."

Sunday, April 10, 2011

Bedeviled

Filed under: Uncategorized — Tags: — m759 @ 10:30 PM

From tonight's online New York Times

John McCracken, Sculptor of Geometric Forms, Dies at 76

McCracken died in Manhattan on Friday, April 8.

From Christopher Knight in tonight's online LA Times

the works embody perceptual and philosophical conundrums. The colored planks stand on the floor like sculptures….

McCracken was bedeviled by Stanley Kubrick's famously obscure science-fiction epic, "2001: A Space Odyssey," with its iconic image of an ancient monolith floating in outer space. The 1968 blockbuster was released two years after the artist made his first plank.

"At the time, some people thought I had designed the monolith or that it had been derived from my work," he told art critic Frances Colpitt of the coincidence in a 1998 interview.

Two photos of McCracken's 1967 Black Plank  seem relevant—

November 28, 2010 (Click to enlarge)

http://www.log24.com/log/pix11/110410-McCrackenPlank1967400w.jpg

December 28, 2010 (Click to enlarge)

http://www.log24.com/log/pix11/110410-McCracken-NatGallery-NothingToSeeHere-400w.jpg

Material that an artist might view as related, if only synchronistically—

Two posts in this journal on the dates the photos were taken—
The Embedding on November 28 and Dry Bones on December 28.

The photos are of an exhibition titled "There is nothing to see here" at the
National Gallery of Art, October 30, 2010-April 24, 2011 —

Click to enlarge.

http://www.log24.com/log/pix11/110410-NothingToSee-400w.jpg

For related nihilism from the National Gallery, see "Pictures of Nothing" in this journal.

Some less nihilistic illustrations—

The Meno  Embedding

http://www.log24.com/log/pix10B/101128-TheEmbedding.gif

A photo by one of the artists whose work is displayed above beside McCracken's—

http://www.log24.com/log/pix11/110410-Sugimoto-AndoChurch.jpg

"Accentuate the Positive."
 — Clint Eastwood

Saturday, March 18, 2017

News Search

Filed under: Uncategorized — Tags: — m759 @ 12:30 PM

See also, in this journal, "Before the Devil Knows You're Dead."

Saturday, April 5, 2014

A Princeton Half-Hour

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

"May you be in heaven a full half-hour
before the devil knows you're dead ."

Related material:
Yesterday's posts of 12 PM and 8 PM,
and the life of Philip Seymour Hoffman.

Tuesday, May 22, 2018

Doppelgänger

Filed under: Uncategorized — Tags: — m759 @ 3:06 AM

The previous post suggests a media review.

Doppelgangers from the wonderful world of entertainment —

   

"We have a clip." — Kalle  (Kristen Wiig on SNL)

Sunday, May 20, 2018

Some Style

Filed under: Uncategorized — Tags: — m759 @ 1:03 AM

Dialogue from the 1984 fourth draft of the script, as found on the Web,
for "Back to the Future" (1985) (apparently some changes were made
in the filming) —

A sort of "flux capacitor" (see previous post) —

The Rolls-Royce Cullinan

 plus "e" for Einstein 

Saturday, May 19, 2018

Flux Capacitor

Filed under: Uncategorized — Tags: — m759 @ 4:13 PM

For Tom Hanks and Dan Brown —

Symbologist Robert Langdon views a corner of Solomon's Cube

From "Raiders of the Lost Images" —

"The cube shape of the lost Mother Box,
also known as the Change Engine,
is shared by the Stone in a novel by
Charles Williams, Many Dimensions .
See the Solomon's Cube webpage."

See as well a Google search for flux philosophy
https://www.google.com/search?q=flux+philosophy.

Wednesday, May 16, 2018

Church and Temple

Filed under: Uncategorized — Tags: , — m759 @ 10:48 AM

Saturday, May 5, 2018

Plugin

Filed under: Uncategorized — Tags: — m759 @ 6:45 PM

Art enthusiast Phyllis Tuchman in The New York Times  yesterday —

"Ms. Rockburne's understated work plugged into
the prevailing Minimalist aesthetic of the day . . . ."

This was quoted here yesterday, followed by a visual flash drive
of sorts —

Another Parisian flash drive of sorts —

Friday, May 4, 2018

The Tuchman Radical*

Filed under: Uncategorized — Tags: — m759 @ 3:33 PM

Two excerpts from today's Art & Design section of
The New York Times  —

For the deplorables of France —

For further remarks on l'ordre ,
see posts tagged Galois's Space
( tag=galoiss-space).

* The radical of the title is Évariste Galois (1811-1832).

Thursday, May 3, 2018

Multifaceted . . .

Filed under: Uncategorized — Tags: — m759 @ 2:56 PM

. . . Con Figuras de Espantar

"He Who Searches  is multifaceted in structure …"

Publisher's description of a Helen Lane translation
of "Como en la Guerra ," by Luisa Valenzuela
Also by Valenzuela —

Related material — An obituary from The Boston Globe  today
on the April 5 death of Borinsky's translator, and . . .

"He Who Searches" may consult also posts tagged Date.

Monday, April 16, 2018

The Brooklyn Game

Filed under: Uncategorized — Tags: — m759 @ 2:12 PM

"Can you bring me some players?"

— Molly Bloom in "Molly's Game"

Happy birthday to Pope Emeritus Benedict XVI.

Sunday, April 15, 2018

Focus Up.

Filed under: Uncategorized — Tags: — m759 @ 10:42 PM

From subtitles to the recent film "Molly's Game" —

1893
01:19:40,423 –> 01:19:42,633
I'm the only
Irish guy they let play.

1894
01:19:42,718 –> 01:19:43,851
-I'm not Irish.

1895
01:19:46,549 –> 01:19:48,729
-You're not?
-No.

1896
01:19:50,367 –> 01:19:51,594
-Molly Bloom?

1897
01:19:51,695 –> 01:19:53,570
-You're thinking of the
James Joyce character.

1898
01:19:55,434 –> 01:19:57,286
-I always thought you were Irish.

1899
01:19:57,809 –> 01:19:58,473
-I'm not.

1900
01:19:58,543 –> 01:19:59,856
Can you bring me some players?

1901
01:19:59,881 –> 01:20:02,200
-Isn't there a famous book?
-Okay, Douglas.

1902
01:20:02,239 –> 01:20:04,231
Focus up. Yes, there's
a book by James Joyce

1903
01:20:04,279 –> 01:20:06,482
called <i>Ulysses</i> and there's
a character named Molly Bloom

1904
01:20:06,529 –> 01:20:07,974
and that is why
you think I'm Irish

Blue Fire

Filed under: Uncategorized — Tags: — m759 @ 2:00 PM

"By means of an idea we can see
the idea cloaked in the passing parade."

James Hillman in  A Blue Fire 

Related material:  Cloak and Dagger

See as well Barbara Rose.

Colorado Olympiad

Filed under: Uncategorized — Tags: — m759 @ 1:01 PM

Or:  Personalities Before Principles

Personalities —

Principles —

This  journal on April 28, 2004 at 7:00 AM.

Backstory —

Square Triangles in this journal.

A Job in West Hollywood

Filed under: Uncategorized — Tags: — m759 @ 2:02 AM

For the title, see "Inking," a post of Aug. 5, 2015.

See also West Hollywood in a film written and directed by Aaron Sorkin.

Search for Viper Room in this journal.

Saturday, April 14, 2018

Whoosh

Filed under: Uncategorized — Tags: — m759 @ 9:34 PM

See as well an interview in this evening's online New York Times
by Maureen Dowd with "Exorcist" director William Friedkin —

“I don’t drink,” he says. “I’ve never done drugs.
I’ve never tried grass. But I think Miles Davis
is a reason to live.” 

Friday, April 13, 2018

Strahlenkreis*

Filed under: Uncategorized — Tags: , — m759 @ 11:23 PM

Or:  A Magic Circle for Penny 

The subtitle was suggested by the character Penny
in today's post on Mathmagic Land.

* Ray-circle. See an image search.

Mathmagic Land

Filed under: Uncategorized — Tags: — m759 @ 5:45 PM

Continued from yesterday.

From Log24 on July 24, 2014

Later . . .

"Button, Button, Who's Got the Button?"

Manil Suri?

See also The Abacus Conundrum.

Thursday, April 12, 2018

Play

Filed under: Uncategorized — Tags: — m759 @ 1:51 PM

Continued from Monday morning, for Lev Grossman —

Monday, April 9, 2018

Dance

Filed under: Uncategorized — Tags: — m759 @ 7:21 PM

NY Times wire, Ivor Guest obituary, screenshot at 7:09:09 PM ET

This journal on the above date of death, March 30, had a quote from
the author of the graphic novel Aleister & Adolf

"Program or be programmed."

I prefer Barbra to Aleister —

"Spirits rise and their dance is unrehearsed."

See as well spirits in the previous post.

Nicht Spielerei…

Filed under: Uncategorized — Tags: — m759 @ 8:25 AM

Continued  (for Lev Grossman  fans)

From the above Wikipedia article

  • In the Robert Frost poem, "The Witch of Coos," the game
    is referenced in lines 7-8:
    "Summoning spirits isn't 'Button, button,
    who's got the button,' I would have them know."

Fact check:  From the Frost poem at Bartleby.com

  • "Summoning spirits isn’t 'Button, button,
    Who’s got the button,' you’re to understand."

Sunday, April 8, 2018

Raiders of the Lost Circle

Filed under: Uncategorized — Tags: — m759 @ 10:10 AM

Today is Orthodox Easter.

From a search in this journal for "Magic Circle" —

Saturday, April 7, 2018

Dot

Filed under: Uncategorized — Tags: — m759 @ 10:41 PM

The late Philip J. Davis in his 2004 essay 

"A Brief Look at Mathematics and Theology,"
Humanistic Mathematics Network Journal ,
Issue 27, Article 14. Available at:
http://scholarship.claremont.edu/hmnj/vol1/iss27/14/ 

wrote —

"In my childhood, the circle persisted as a potent magic figure
in the playtime doggerel 'Make a magic circle and sign it with a dot.'
The interested reader will find thousands of allusions to the phrase
'magic circle' on the Web."

There are fewer allusions to "magic circle" + "sign it with a dot."

One such allusion (click to enlarge) is . . .

Davis died on Pi Day .

Friday, March 30, 2018

Unorthodox Drama

Filed under: Uncategorized — Tags: , — m759 @ 9:29 PM

The online New York Times  this evening has an obituary
for "an unorthodox … drama scholar" who reportedly died 
on Thursday, March 22, 2018.

Some drama in this journal from around that date — in posts
tagged "The Cubes" — includes the following excerpt from
a graphic novel:

"Program or be programmed."
— A saying by the author of the above graphic novel.

Saturday, March 24, 2018

Slight?

Filed under: Uncategorized — Tags: — m759 @ 12:30 PM

Sure, Whatever.

Filed under: Uncategorized — Tags: — m759 @ 11:13 AM

The search for Langlands in the previous post
yields the following Toronto Star  illustration —

From a review of the recent film "Justice League" —

"Now all they need is to resurrect Superman (Henry Cavill),
stop Steppenwolf from reuniting his three Mother Cubes
(sure, whatever) and wrap things up in under two cinematic
hours (God bless)."

For other cubic adventures, see yesterday's post on A Piece of Justice 
and the block patterns in posts tagged Design Cube.

Friday, March 23, 2018

Reciprocity

Filed under: Uncategorized — Tags: — m759 @ 7:00 PM

Copy editing — From Wikipedia

"Copy editing (also copy-editing or copyediting, sometimes abbreviated ce)
is the process of reviewing and correcting written material to improve accuracy,
readability, and fitness for its purpose, and to ensure that it is free of error,
omission, inconsistency, and repetition. . . ."

An example of the need for copy editing:

Related material:  Langlands and Reciprocity in this  journal.

Piece Prize

Filed under: Uncategorized — Tags: — m759 @ 6:15 PM

The Waymark Prize from 'A Piece of Justice' (1995) by Jill Paton Walsh

The Waymark Prize Mystery - 'A Piece of Justice' (1995) p. 138

From the Personal to the Platonic

Filed under: Uncategorized — Tags: — m759 @ 11:01 AM

On the Oslo artist Josefine Lyche —

"Josefine has taken me through beautiful stories,
ranging from the personal to the platonic
explaining the extensive use of geometry in her art.
I now know that she bursts into laughter when reading
Dostoyevsky, and that she has a weird connection
with a retired mathematician."

Ann Cathrin Andersen
    http://bryggmagasin.no/2017/behind-the-glitter/

Personal —

The Rushkoff Logo

— From a 2016 graphic novel by Douglas Rushkoff.

See also Rushkoff and Talisman in this journal.

Platonic —

The Diamond Cube.

Compare and contrast the shifting hexagon logo in the Rushkoff novel above 
with the hexagon-inside-a-cube in my "Diamonds and Whirls" note (1984).

Thursday, March 22, 2018

In Memoriam

Filed under: Uncategorized — Tags: — m759 @ 10:10 PM

Also on March 18, 2015 . . .

The Diamond Cube

Filed under: Uncategorized — Tags: — m759 @ 11:32 AM

The Java applets at the webpage "Diamonds and Whirls"
that illustrate Cullinane cubes may be difficult to display.

Here instead is an animated GIF that shows the basic unit
for the "design cube" pages at finitegeometry.org.

Monday, March 12, 2018

“Quantum Tesseract Theorem?”

Filed under: Uncategorized — Tags: , — m759 @ 11:00 AM

Remarks related to a recent film and a not-so-recent film.

For some historical background, see Dirac and Geometry in this journal.

Also (as Thas mentions) after Saniga and Planat —

The Saniga-Planat paper was submitted on December 21, 2006.

Excerpts from this  journal on that date —

     "Open the pod bay doors, HAL."

Wednesday, March 7, 2018

Unite the Seven.

Filed under: Uncategorized — Tags: , — m759 @ 10:31 AM


Related material —

The seven points of the Fano plane within 

The Eightfold Cube.
 

Weyl on symmetry, the eightfold cube, the Fano plane, and trigrams of the I Ching


"Before time began . . . ."

  — Optimus Prime

Friday, February 2, 2018

For Plato’s Cave

Filed under: Uncategorized — Tags: , — m759 @ 12:06 PM

"Plato's allegory of the cave describes prisoners,
inhabiting the cave since childhood, immobile,
facing an interior wall. A large fire burns behind
the prisoners, and as people pass this fire their
shadows are cast upon the cave's wall, and
these shadows of the activity being played out
behind the prisoner become the only version of
reality that the prisoner knows."

— From the Occupy Space gallery in Ireland

IMAGE- Patrick McGoohan as 'The Prisoner,' with lapel button that says '6.'

Monday, January 22, 2018

Hollywood Moment

Filed under: Uncategorized — Tags: , — m759 @ 12:00 PM

Matt B. Roscoe and Joe Zephyrs, both of Missoula, Montana, authors of article on quilt block symmetries

A death on the date of the above symmetry chat,
Wednesday, August 17, 2016

'Love Story' director dies

An Hispanic Hollywood moment:

Ojo de Dios —

Click for related material.

For further Hispanic entertainment,
see Ben Affleck sing 
"Aquellos Ojos Verdes "
in "Hollywoodland."

Friday, January 19, 2018

The Pentagram Papers

Filed under: Uncategorized — Tags: — m759 @ 11:45 AM

(Continued)

Jodie Foster in  a Dec. 15, 2017, sketch  with Stephen Colbert —

"People invest in and take ownership of brands,
and they wonder why the brand didn’t
ask their permission to change."

— Michael Bierut of Pentagram Design
in  a Design Week  article  of Jan. 17, 2018

Details

Filed under: Uncategorized — Tags: — m759 @ 4:04 AM

Wednesday, January 17, 2018

At Heaven’s Gate

Filed under: Uncategorized — Tags: — m759 @ 7:30 AM

(Continued from September 12, 2005)

The previous post contrasted the number-triple 11-7-8 below
with number triples 12-9-5 and 12-5-9.

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

A perhaps more logical counterpart of the triple 11-7-8, based
on opposite  locations of star-points or cube-edges, is
the triple 9-12-5. For a theological interpretation, see 9/12/05.

Tuesday, January 16, 2018

An Orison for Ha-Why

Filed under: Uncategorized — Tags: , — m759 @ 1:00 PM

'Cloud Atlas' book cover illustrating the film

Lines from characters played in the film by Tom Hanks and Halle Berry —

— Cloud Atlas , by David Mitchell (2004).

An orison of sorts from a post on Martin Scorsese's
birthday, Sunday, Nov. 18, 2007 —

BlackBerry with pictures from Log24

Displayed on the BlackBerry are parts
of Log24 posts from October 25, 2007,
and October 24, 2007.

Related pattern geometry 

From a Log24 search for Angleton + Brotherhood:
A photo of Angleton in a post from 12/9/5

The image “http://www.log24.com/log/pix05B/051209-Angleton.jpg” cannot be displayed, because it contains errors.

From a post of 11/7/8

http://www.log24.com/log/pix08A/081107-Tilespuzzle.jpg

A cryptic note for Dan Brown:

The above dates 11/7/8 and 12/9/5 correspond to the corner-labels
(read clockwise and counter-clockwise) of the two large triangles
in the Finkelstein Talisman

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

Above: More symbology for Tom Hanks from
this morning's post The Pentagram Papers.

The above symbology is perhaps better suited to Hanks in his
role as Forrest Gump than in his current role as Ben Bradlee.

The image “http://www.log24.com/log/pix05B/051211-gump.jpg” cannot be displayed, because it contains errors.

For Hanks as Dan Brown's Harvard symbologist 
Robert Langdon, see the interpretation 12/5/9, rather
than 12/9/5, of the above triangle/cube-corner label.

The Pentagram Papers

Filed under: Uncategorized — Tags: — m759 @ 9:16 AM

Other intersection-points-counting material —

The Finkelstein Talisman:

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

See also Hanks + Cube in this journal —

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube.

Tuesday, January 9, 2018

Koen Thas and Quantum Theory

Filed under: Uncategorized — Tags: — m759 @ 9:23 AM

'General Quantum Theory,' by Koen Thas, Dec. 13, 2017, preprint

This post supplies some background for earlier posts tagged
Quantum Tesseract Theorem.

Monday, January 8, 2018

Raiders of the Lost Theorem

Filed under: Uncategorized — Tags: — m759 @ 11:15 PM
 

The Quantum Tesseract Theorem 

 


 

Raiders —

A Wrinkle in Time
starring Storm Reid,
Reese Witherspoon,
Oprah Winfrey &
Mindy Kaling

 

Time Magazine  December 25, 2017 – January 1, 2018

Saturday, December 23, 2017

The Right Stuff

Filed under: Geometry — Tags: — m759 @ 1:12 PM

A figure related to the general connecting theorem  of Koen Thas —

Anticommuting Dirac matrices as spreads of projective lines

Ron Shaw on the 15 lines of the classical generalized quadrangle W(2), a general linear complex in PG(3,2)

See also posts tagged Dirac and Geometry in this  journal.

Those who prefer narrative to mathematics may, if they so fancy, call
the above Thas connecting theorem a "quantum tesseract theorem ."

The Patterning

Filed under: Uncategorized — Tags: — m759 @ 12:25 PM

See a Log24 search for "Patterning Windows."

Related material (Click for context) —

.

IT Girl (for Sweet Home Alabama)

Filed under: Uncategorized — Tags: — m759 @ 3:35 AM

Friday, December 22, 2017

IT

Filed under: Geometry — Tags: — m759 @ 4:08 PM

Movie marquee on Camazotz, from the 2003 film of 'A Wrinkle in Time'

From a Log24 post of October 10, 2017

Koen Thas, 'Unextendible Mututally Unbiased Bases' (Sept. 2016)

Related material from May 25, 2016 —

Thursday, December 21, 2017

Wrinkles

Filed under: Uncategorized — Tags: — m759 @ 1:00 PM

TIME magazine, issue of December 25th, 2017 —

" In 2003, Hand worked with Disney to produce a made-for-TV movie.
Thanks to budget constraints, among other issues, the adaptation
turned out bland and uninspiring. It disappointed audiences,
L’Engle and Hand. 'This is not the dream,' Hand recalls telling herself.
'I’m sure there were people at Disney that wished I would go away.' "

Not the dream?  It was, however, the nightmare, presenting very well
the encounter in Camazotz of Charles Wallace with the Tempter.

From a trailer for the latest version —

Detail:

From the 1962 book —

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

Song adapted from a 1960 musical —

"In short, there's simply not
A more congenial spot
For happy-ever-aftering
Than here in Camazotz!"

Saturday, October 28, 2017

Lowell Brown at Vanity Fair

Filed under: Geometry — Tags: — m759 @ 8:18 PM

A sequel to the post  CP  is for Consolation Prize  (Sept. 3, 2016)

An image from Log24 on this date last year:

A recent comment on a discussion of CP symmetry

Just the Facts

Filed under: Geometry — Tags: — m759 @ 11:00 AM

The New Yorker  on the recent film "The Square"

"It’s an aesthetic that presents,
so to speak, just the facts, 
as if the facts themselves weren’t
deeply layered with living history
and crisscrossed with vectors
of divergent ideas and ideals."

— Richard Brody, Thursday, Oct. 26, 2017

For other images deeply layered  and crisscrossed ,
see Geometry of the I Ching.

Dating Harvard

Filed under: Uncategorized — Tags: — m759 @ 10:00 AM

See also this journal on today's date four years ago.

Thursday, September 28, 2017

The Last Word

Filed under: Uncategorized — Tags: , , — m759 @ 6:00 AM

Remarks suggested by the previous post

From Jeremy Biles, "Introduction: The Sacred Monster," in
Ecce Monstrum: Georges Bataille and the Sacrifice of Form

(Fordham University Press, 2007, page 3) —

Bataille’s insistent conjunction of the monstrous and the sacred is the subject of this book. Regarded by many as one of the most important thinkers of our time, and acknowledged as an important influence by such intellectuals as Michel Foucault, Julia Kristeva, Maurice Blanchot, and Jacques Derrida, Bataille produced a corpus of wide-ranging writings bearing the monstrous marks of the affective and intellectual contradictions he also sought to produce in his readers. In the following chapters, I will specify some of the ways in which Bataille evokes monstrosity to elicit in himself and his audience an experience of simultaneous anguish and joy—an experience that he calls sacred. In particular, Bataille is fascinated with the ‘‘left-hand’’ sacred. In contradistinction to its lucent and form-conferring ‘‘right-hand’’ counterpart, the left-hand sacred is obscure and formless—not transcendent, pure, and beneficent, but dangerous, filthy, and morbid. This sinister, deadly aspect of the sacred is at once embodied in, and communicated by, the monster. As we will see, it is in beholding the monster that one might experience the combination of ecstasy and horror that characterizes Bataille ’s notion of the sacred.

The dual etymology of ‘‘monster’’ reveals that aspect of the sacred that enticed Bataille. According to one vein of etymological study, the Latin monstrum  derives from monstrare  (to show or display). The monster is that which appears before our eyes as a sign of sorts; it is a demonstration. But another tradition emphasizes a more ominous point. Deriving from monere  (to warn), the monster is a divine omen, a portent; it heralds something that yet remains unexpected, unforeseeable—as a sudden reversal of fortune. In the writings of Bataille, the monster functions as a monstrance, putting on display the sinister aspect of the sacred that Bataille sees as the key to a ‘‘sovereign’’ existence. But in doing so the monster presents us with a portent of something that we cannot precisely foresee, but something that, Bataille claims, can be paradoxically experienced in moments of simultaneous anguish and ecstasy: death.

See as well

(Order of news items transposed for aesthetic effect.)

Wednesday, September 27, 2017

Badreads

Filed under: Uncategorized — Tags: , , — m759 @ 6:11 AM

    See also a related Log24 post.

Saturday, September 16, 2017

The Zero Monstrance

Filed under: Uncategorized — Tags: , , — m759 @ 6:00 AM

From "The Metaphysics of Entities," a post of Sept. 20, 2014 —

Anthony Lane in The New Yorker  on a 2013 film —

"The hero of 'The Zero Theorem' is a computer genius
called Qohen Leth (Christoph Waltz)…. He is the sole
resident of a derelict church, where, on a crucifix in front
of the altar, the head of Christ has been replaced by a
security camera. No prayers are ever said, and none are
answered."

Related dialogue from a 2008 film

Another view of the Zero Theorem derelict church —

Friday, August 25, 2017

Two Paths for the Impersonal Essay

Filed under: Uncategorized — Tags: — m759 @ 12:12 PM

The above is a variation on a title from last night's post By Degrees.

The Literary Path —

The Hollywood Path —

Further remarks on algebra and space

http://www.log24.com/log/pix11B/110814-TheFieldGF8.jpg

See as well the above image in yesterday's post  Maori Chess, Vol. 2.

Sunday, August 13, 2017

Compare and Contrast

Filed under: Uncategorized — Tags: , — m759 @ 1:00 PM

From The Atlantic , September 2017 issue, online —
"How America Lost Its Mind," by former Harvard Lampoon  
writer Kurt Andersen

The Atlantic 's embedded Google ad for "Quantum Space Elements"
is, by the way, completely unrelated to similar-sounding work on 
models of space in finite geometry (cf. tsimtsum . . .

Friday, August 11, 2017

Symmetry’s Lifeboat

Filed under: Uncategorized — Tags: , — m759 @ 9:16 PM

A post suggested by the word tzimtzum  (see Wednesday)
or tsimtsum  (see this morning) —

Lifeboat from the Tsimtsum  in Life of Pi  —

Another sort of tsimtsum, contracting infinite space to a finite space —

IMAGE- Desargues's theorem in light of Galois geometry

Thursday, August 3, 2017

Glitter at the Dark Tower

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

"The centre of transformations that
Transform for transformation's self,

In a glitter that is a life, a gold
That is a being, a will, a fate."

— Wallace Stevens, "Human Arrangement"

From "The Dark Tower," a post of July 9, 2016 —

See also a search for Glitter in this journal.

Poetic Theology at the New York Times

Filed under: Uncategorized — Tags: — m759 @ 12:19 PM

Or:  Trinity Test Site

From the New York Times Book Review  of
next Sunday, August 6, 2017 —

"In a more conventional narrative sequence,
even a sequence of poems,
this interpenetration would acquire
sequence and evolution." [Link added.]

The concept under review is that of the Holy Trinity.

See also, in this  journal, Cube Trinity.

For a simpler Trinity model, see the three-point line  

Tuesday, August 1, 2017

Auto Detailing

Filed under: Uncategorized — Tags: , — m759 @ 11:29 AM

Megan Fox in "Transformers" (2007) —

Background from January 25, 2017

"Remembering speechlessly we seek
the great forgotten language,
the lost lane-end into heaven,
a stone, a leaf, an unfound door.
Where? When?" — Thomas Wolfe 

Sunday, July 30, 2017

Sermon: MS R I

Filed under: Uncategorized — Tags: — m759 @ 9:57 AM

From Solomon's Cube

"Here MSRI, an acronym for Mathematical Sciences Research Institute,
is pronounced 'Misery.' See Stephen King [and] K.C. Cole . . . ."

From a manuscript by Mikhail Gromov cited yesterday in MSRI Program —

Quotes from a founder of geometric group theory

Sunday School:

Filed under: Uncategorized — Tags: — m759 @ 9:01 AM

Bullshit Studies  Continued

The remarks by Mikhail Gromov on neuroscience in his papers
cited in the previous post suggest some related remarks —

Saturday, July 29, 2017

MSRI Program

Filed under: Uncategorized — Tags: — m759 @ 8:29 PM

"The field of geometric group theory emerged from Gromov’s insight
that even mathematical objects such as groups, which are defined
completely in algebraic terms, can be profitably viewed as geometric
objects and studied with geometric techniques."

Mathematical Sciences Research Institute, 2016:

Geometric Group theory at MSRI (pronounced 'Misery')

See also some writings of Gromov from 2015-16:

For a simpler example than those discussed at MSRI
of both algebraic and geometric techniques applied to
the same group, see a post of May 19, 2017,
"From Algebra to Geometry." That post reviews
an earlier illustration —

For greater depth, see "Eightfold Cube" in this journal.

Science News

Filed under: Uncategorized — Tags: , — m759 @ 10:29 AM

Continued from the post Aesthetic Distance of July 28, 2017.

Friday, July 28, 2017

Aesthetic Distance

Filed under: Uncategorized — Tags: , — m759 @ 11:23 AM

In memory of a Disney "imagineer" who reportedly died yesterday.

From the opening scene  of a 2017 film, "Gifted":

Frank calls his niece Mary to breakfast on the morning she is 
to enter first grade. She is dressed, for the first time, for school —

- Hey! Come on. Let's move!
- No!
- Let me see.
- No.
- Come on, I made you special breakfast.
- You can't cook.
- Hey, Mary, open up. 
(She opens her door and walks out.)
- You look beautiful.
- I look like a Disney character.
  Where's the special?
- What?
- You said you made me special breakfast.

Read more: http://www.springfieldspringfield.co.uk/
movie_script.php?movie=gifted

Cube symmetry subgroup of order 8 from 'Geometry and Symmetry,' Paul B. Yale, 1968, p.21

Monday, June 26, 2017

Four Dots

Filed under: Uncategorized — Tags: , , , — m759 @ 9:57 AM

Analogies — "A : B  ::  C : D"  may be read  "A is to B  as  C is to D."

Gian-Carlo Rota on Heidegger…

"… The universal as  is given various names in Heidegger's writings….

The discovery of the universal as  is Heidegger's contribution to philosophy….

The universal 'as' is the surgence of sense in Man, the shepherd of Being.

The disclosure of the primordial as  is the end of a search that began with Plato….
This search comes to its conclusion with Heidegger."

— "Three Senses of 'A is B' in Heideggger," Ch. 17 in Indiscrete Thoughts
 

See also Four Dots in this journal. 

Some context:  McLuhan + Analogy.

Wednesday, May 31, 2017

The Pinterest Directive …

Filed under: Uncategorized — Tags: — m759 @ 2:12 AM

Continues.

Tuesday, May 30, 2017

Diamond Bits

Filed under: Uncategorized — Tags: — m759 @ 1:21 PM

Or:  Putting the Pinter in Pinterest

From "A Poem for Pinter"

Log24 on Oct. 13, 2005

The Guardian on Harold Pinter, winner of this year's Nobel Prize for Literature:

"Earlier this year, he announced his decision to retire from playwriting in favour of poetry,"

Michael Muskal in today's Los Angeles Times:

"Pinter, 75, is known for his sparse and thin style as well as his etched characters whose crystal patter cuts through the mood like diamond drill bits."

Robert Stone, A Flag for Sunrise  (See Jan. 25):

"'That old Jew gave me this here.'  Egan looked at the diamond….  'It's worth a whole lot of money– you can tell that just by looking– but it means something, I think.  It's got a meaning, like.'

'Let's see,' Egan said, 'what would it mean?'  He took hold of Pablo's hand cupping the stone and held his own hand under it.  '"The jewel is in the lotus," perhaps that's what it means.  The eternal in the temporal….'"

See as well an image in a link target from today's noon post

The Pinterest Directive

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

Click image for some background.

Monday, May 29, 2017

Ordinary Evening in a Paper Town

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

Click the above search for a larger version.

Thursday, May 25, 2017

Presidential Address of November 19, 1976

Filed under: Uncategorized — Tags: — m759 @ 2:14 PM

Deep Problems in the Faculty Lounge

Filed under: Uncategorized — Tags: — m759 @ 7:14 AM

The Story of Six Continues

Filed under: Uncategorized — Tags: — m759 @ 6:00 AM

A post of March 22, 2017, was titled "The Story of Six."

Related material from that date —

"I meant… a larger map." — Number Six in "The Prisoner"

Thursday, May 18, 2017

Bit Plot

Filed under: Uncategorized — Tags: — m759 @ 1:40 AM

From a May 15 review of a new book by Douglas Coupland, author of
the 1991 book Generation X: Tales for an Accelerated Culture .

"Minimalists are actually extreme hoarders:
 they hoard space." — Douglas Coupland

The title of Coupland's new book suggests a review of Schmeikal 
in this  journal

Coupland's above remark on hoarders suggests a look at
a wealthy California collector whom, were he not wealthy,
some might call a hoarder.

“I buy things because they strike an emotional bell,
they appeal to my curiosity, to the thrill of discovery
of the extraordinary in the ordinary,” Mr. Cotsen told
The Denver Post in 1998. “They appeal to my sense
of humor, and to my search for the beauty in simplicity.”

He added, “I decided I had a collection when there was
no more space to put anything.”

By the time he died at 88 on May 8 in Beverly Hills, Calif.,
Mr. Cotsen (pronounced COAT-zen) had donated about
half of the material in his collections to institutions like the
Asian Art Museum in San Francisco, Princeton University
and the Museum of International Folk Art in Santa Fe, N.M.

Richard Sandomir in the online New York Times , May 17

Cotsen reportedly died at 88 on May 8. 

See also this  journal on that date —

Monday, May 8, 2017

New Pinterest Board

Filed under: Uncategorized — m759 @ 9:29 PM 

https://www.pinterest.com/stevenhcullinane/art-space/

Wednesday, April 26, 2017

A Tale Unfolded

Filed under: Uncategorized — Tags: , — m759 @ 2:00 AM

A sketch, adapted tonight from Girl Scouts of Palo Alto

From the April 14 noon post High Concept

From the April 14 3 AM post Hudson and Finite Geometry

IMAGE- Geometry of the Six-Set, Steven H. Cullinane, April 23, 2013

From the April 24 evening post The Trials of Device

Pentagon with pentagram    

Note that Hudson's 1905 "unfolding" of even and odd puts even on top of
the square array, but my own 2013 unfolding above puts even at its left.

Wednesday, April 5, 2017

Dem Bones

Filed under: Uncategorized — Tags: , — m759 @ 12:15 PM

A note at the end of an article on architecture historian
Christopher Gray in the current online New Yorker  —

This article appears in other versions
of the April 10, 2017, issue, with
the headline “Dem Bones.”

"Defeated, you will rise to your feet as is said of Dry Bones .
These bones will rise again." — Agnes Martin, 1973

Accounting for Taste —

Faye Dunaway and Warren Beatty at the Oscars:

Ben Affleck, star of "The Accountant," at the Oscars:

See also Prisoner + Bones in this  journal.

Tuesday, April 4, 2017

Plan 9 Continues

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

"Plan 9 deals with the resurrection of the dead."

— Bill Murray in "Ed Wood"
 

For The Church of Plan 9

(The plan , as well as the elevation ,
of the above structure is a 3×3 grid.)

Making Science Come Alive

Filed under: Uncategorized — Tags: — m759 @ 8:42 PM

From a post on March 13, 2017


Shafarevich was not the only one with a legacy . . .

See also posts in this  journal
now tagged The Gray Legacy.

Wednesday, March 22, 2017

The Story of Six

Filed under: Uncategorized — Tags: , — m759 @ 8:01 PM

On a psychotherapist who died at 86 on Monday —

"He studied mathematics and statistics at the Courant Institute,
a part of New York University — he would later write   a
mathematical fable, Numberland  (1987)."

The New York Times  online this evening
 


 

From Publishers Weekly

This wry parable by a psychotherapist contains one basic message: though death is inevitable, each moment in life is to be cherished. In the orderly but sterile kingdom of Numberland, digits live together harmoniously under a rigid president called The Professor. Their stable society is held intact by the firm conviction that they are immortal: When has a number ever died? This placid universe is plunged into chaos when the inquisitive hero SIX crosses over into the human world and converses with a young mathematician. This supposedly impossible transition convinces the ruling hierarchy that if SIX can talk to a mortal, then the rest of the numbers are, after all, mortal. The digits conclude that any effort or achievement is pointless in the face of inevitable death, and the cipher society breaks down completely. The solution? Banish SIX to the farthest corners of kingdom. Weinberg (The Heart of Psychotherapy ) uses his fable to gently satirize the military, academics, politicians and, above all, psychiatrists. But his tale is basically inspirational; a triumphant SIX miraculously returns from exile and quells the turmoil by showing his fellow digits that knowledge of one's mortality should enrich all other experiences and that death ultimately provides a frame for the magnificent picture that is life. 

Copyright 1987 Reed Business Information, Inc.

See also The Prisoner in this journal.

Monday, March 13, 2017

Pragmatism at the Church of the Transformers*

Filed under: Uncategorized — Tags: — m759 @ 9:17 PM

"I would drop the keystone into my arch . . . ."

Click the Auto Body image for some backstory.

* For the church, see Transformers in this journal.

Gray Space

Filed under: Uncategorized — Tags: — m759 @ 8:35 PM


Image in Log24 from the date of the architecture writer's death —

See also the post Gray Space of Palm Sunday, 2014.

Tuesday, March 7, 2017

Signature Backdrop

Filed under: Uncategorized — Tags: — m759 @ 9:00 PM

"The Bitter End’s signature stage backdrop —
a bare 150-year-old brick wall — helped distinguish it from
other popular bohemian hangouts like the Village Gate  
and the Village Vanguard. It appeared on the cover of
Peter, Paul and Mary’s first album."

The New York Times  this evening on a Sunday death

Commentary

“Looking carefully at Golay’s code is like staring into the sun.”

— Richard Evan Schwartz

See also Schwartz in "The Omega Matrix," a post of 5 PM ET Sunday:

Sunday, March 5, 2017

The Omega Matrix

Filed under: Uncategorized — Tags: — m759 @ 5:00 PM

Richard Evan Schwartz on
the mathematics of the 4×4 square

See also Priority in this journal.

Wednesday, January 25, 2017

Requiem for an Editor

Filed under: Uncategorized — Tags: — m759 @ 1:29 AM

"Remembering speechlessly we seek
the great forgotten language,
the lost lane-end into heaven,
a stone, a leaf, an unfound door.
Where? When?" — Thomas Wolfe 

(Suggested by Tom  Wolfe, the late Byron Dobell, and
The Kandy-Kolored Tangerine-Flake Streamline Baby .)

See also Great Again? and Great Again.

Monday, January 23, 2017

Great Again?

Filed under: Uncategorized — Tags: — m759 @ 2:24 AM

2015 in 1989 A Spielberg Production

2015 in 2015:  A Log24 Production

Wednesday, November 23, 2016

Yogiism

Filed under: Uncategorized — Tags: , — m759 @ 12:31 PM

From the American Mathematical Society (AMS) webpage today —

From the current AMS Notices

Related material from a post of Aug. 6, 2014

http://www.log24.com/log/pix10B/100915-SteinbergOnChevalleyGroups.jpg

(Here "five point sets" should be "five-point sets.")

From Gotay and Isenberg, “The Symplectization of Science,”
Gazette des Mathématiciens  54, 59-79 (1992):

“… what is the origin of the unusual name ‘symplectic’? ….
Its mathematical usage is due to Hermann Weyl who,
in an effort to avoid a certain semantic confusion, renamed
the then obscure ‘line complex group’ the ‘symplectic group.’
the adjective ‘symplectic’ means ‘plaited together’ or ‘woven.’
This is wonderfully apt….”

IMAGE- A symplectic structure -- i.e. a structure that is symplectic (meaning plaited or woven)

The above symplectic  structure* now appears in the figure
illustrating the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2).

* The phrase as used here is a deliberate 
abuse of language .  For the real definition of 
“symplectic structure,” see (for instance) 
“Symplectic Geometry,” by Ana Cannas da Silva
(article written for Handbook of Differential
Geometry 
, Vol 2.) To establish that the above
figure is indeed symplectic , see the post 
Zero System of July 31, 2014.

Friday, October 28, 2016

Diamond-Theorem Application

Filed under: Uncategorized — Tags: — m759 @ 1:06 PM
 

Abstract:

"Protection of digital content from being tapped by intruders is a crucial task in the present generation of Internet world. In this paper, we proposed an implementation of new visual secret sharing scheme for gray level images using diamond theorem correlation. A secret image has broken into 4 × 4 non overlapped blocks and patterns of diamond theorem are applied sequentially to ensure the secure image transmission. Separate diamond patterns are utilized to share the blocks of both odd and even sectors. Finally, the numerical results show that a novel secret shares are generated by using diamond theorem correlations. Histogram representations demonstrate the novelty of the proposed visual secret sharing scheme."

— "New visual secret sharing scheme for gray-level images using diamond theorem correlation pattern structure," by  V. Harish, N. Rajesh Kumar, and N. R. Raajan.

Published in: 2016 International Conference on Circuit, Power and Computing Technologies (ICCPCT).
Date of Conference: 18-19 March 2016. Publisher: IEEE.
Date Added to IEEE Xplore: 04 August 2016

Excerpts —

Related material — Posts tagged Diamond Theorem Correlation.

Friday, September 2, 2016

Heuresis

Filed under: Uncategorized — Tags: — m759 @ 7:22 PM

"Now a little trivial heuresis is in order."

The late Waclaw Szymanski on p. 279 of
"Decompositions of operator-valued functions 
in Hilbert spaces
" (Studia Mathematica  50.3
(1974): 265-280.)

See "A Talisman for Finkelstein," from midnight
on the reported date of Szymanski's death.  That post
refers to "the correspondence in the previous post
between Figures A and B" as does this  post

Raiders of the Lost Birthday

Filed under: Uncategorized — Tags: — m759 @ 10:00 AM

Some images from the posts of last July 13
(Harrison Ford's birthday) may serve as funeral
ornaments for the late Prof. David Lavery.

IMAGE- Massimo Vignelli, his wife Lella, and cube

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points

See as well posts on "Silent Snow" and "Starlight Like Intuition."

Friday, August 19, 2016

Princeton University Press in 1947

Filed under: Uncategorized — Tags: , — m759 @ 11:17 AM

From a review, in the context of Hollywood, of a Princeton
University Press book on William Blake from 1947 —

Wednesday, August 10, 2016

Analogies Test

Filed under: Uncategorized — Tags: — m759 @ 12:00 AM

Obituary for Wilford Stanton Miller, author in 1926
of the Miller Analogies Test  —  
         

Marshall McLuhan writing to Ezra Pound on Dec. 21, 1948—

"The American mind is not even close to being amenable
to the ideogram principle as yet.  The reason is simply this.
America is 100% 18th Century. The 18th century had
chucked out the principle of metaphor and analogy—
the basic fact that as A is to B so is C to D.  AB:CD.   
It can see AB relations.  But relations in four terms are still
verboten.  This amounts to deep occultation of nearly all
human thought for the U.S.A.

I am trying to devise a way of stating this difficulty as it exists.  
Until stated and publicly recognized for what it is, poetry and
the arts can’t exist in America."

A line for W. S. Miller, taken from "Annie Hall" —

"You know nothing of my work."

Sunday, August 7, 2016

A Talisman for Finkelstein

Filed under: Uncategorized — Tags: — m759 @ 12:00 AM

The late physicist David Ritz Finkelstein on the magic square
in Dürer's "Melencolia I" —

"As a child I wondered why such a square was called magic.
The Occult Philosophy  [of Agrippa] answers this question
at least. They were used as magical talismans."

The correspondence  in the previous post between
Figures A and B may serve as a devotional talisman
in memory of Finkelstein, a physicist who, in the sort of
magical thinking enjoyed by traditional Catholics, might
still be lingering in Purgatory.

See also this journal on the date of Finkelstein's death —

Saturday, August 6, 2016

Mystic Correspondence:

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

The Cube and the Hexagram

The above illustration, by the late Harvey D. Heinz,
shows a magic cube* and a corresponding magic 
hexagram, or Star of David, with the six cube faces 
mapped to the six hexagram lines and the twelve  
cube edges mapped to the twelve hexagram points.
The eight cube vertices correspond to eight triangles
in the hexagram (six small and two large). 

Exercise:  Is this noteworthy mapping** of faces to lines, 
edges to points, and vertices to triangles an isolated 
phenomenon, or can it be viewed in a larger context?

* See the discussion at magic-squares.net of
   "perimeter-magic cubes"

** Apparently derived from the Cube + Hexagon figure
    discussed here in various earlier posts. See also
    "Diamonds and Whirls," a note from 1984.

Thursday, July 14, 2016

Symmetries and Correspondences

Filed under: Uncategorized — Tags: — m759 @ 7:30 PM

The title is that of a large-scale British research project
in mathematics. On a more modest scale

"Hanks + Cube" in this journal —

Robert Langdon (played by Tom Hanks) and a corner of Solomon's Cube

Block That Metaphor

Wednesday, July 13, 2016

Block That Metaphor

Filed under: Uncategorized — Tags: , — m759 @ 8:38 PM

Magic cube and corresponding hexagram, or Star of David, with faces mapped to lines and edges mapped to points (The 6 cube faces are mapped to the 6 hexagram lines.)

Happy dies natalis  to the late Frida Kahlo.

Thursday, July 7, 2016

About Nothing

Filed under: Uncategorized — Tags: — m759 @ 9:16 PM

"For the listener, who listens in the snow, 
And, nothing himself, beholds 
Nothing that is not there and the nothing that is."

Wallace Stevens

See as well A Riddle for Davos.

The Curious Case of the Concrete Universal

Filed under: Uncategorized — Tags: , — m759 @ 3:35 AM

(Continued)

Erica Goode in the online New York Times  tonight

"Irving Gottesman, a pioneer in the field of behavioral genetics
whose work on the role of heredity in schizophrenia helped
transform the way people thought about the origins of serious
mental illness, died on June 29 at his home in Edina, Minn., a
suburb of Minneapolis. He was 85.

His wife, Carol, said he died while taking an afternoon nap.
Although Dr. Gottesman had some health problems, she said,
his death was unexpected, and several of his colleagues said
they received emails from him earlier that day."

A note from noon (EDT) on that day, June 29, for the Church of Synchronology

A detail from the page mentioned in the June 29 post above —

A passage related to the word "soul" discussed by Sullivan —

See as well a related biblical passage, better known at the time of Royce (ca. 1892)
than today, that would probably mean nothing to the late Dr. Gottesman.

Thursday, June 2, 2016

Bullshit Studies

Filed under: Uncategorized — Tags: — m759 @ 11:30 AM

(Continued)

"The allusion to 'the most precious square of sense' shows
Shakespeare doing an almost scholastic demonstration of
the need for a ratio and interplay among the senses as
the very constitution of rationality."

— Marshall McLuhan, The Gutenberg Galaxy ,
University of Toronto Press, 1962, page 13

"What Shakespeare refers to in Lear  as the 'precious
square of sense' probably has reference to the traditional
'square of opposition' in logic and to that four-part analogy
of proportionality which is the interplay of sense and reason."     

— McLuhan, ibid. , page 241

This is of course nonsense, and, in view of McLuhan's pose
as a defender of the Catholic faith, damned  nonsense.

Epigraph by McLuhan —

"The Gutenberg Galaxy  develops a mosaic or field
approach to its problems."

I prefer a different "mosaic or field" related to the movable
blocks  of Fröbel, not the movable type  of Gutenberg.

Sunday, May 29, 2016

The Ideogram Principle …

Filed under: Uncategorized — Tags: — m759 @ 4:23 PM

According to McLuhan

Marshall McLuhan writing to Ezra Pound on Dec. 21, 1948—

"The American mind is not even close to being amenable
to the ideogram principle as yet.  The reason is simply this.
America is 100% 18th Century. The 18th century had
chucked out the principle of metaphor and analogy—
the basic fact that as A is to B so is C to D.  AB:CD.   
It can see AB relations.  But relations in four terms are still
verboten.  This amounts to deep occultation of nearly all
human thought for the U.S.A.

I am trying to devise a way of stating this difficulty as it exists.  
Until stated and publicly recognized for what it is, poetry and
the arts can’t exist in America."

For context, see Cameron McEwen,
"Marshall McLuhan, John Pick, and Gerard Manley Hopkins."
(Renascence , Fall 2011, Vol. 64 Issue 1, 55-76)

A relation in four terms

A : B  ::  C : D   as   Model : Crutch  ::  Metaphor : Ornament —

See also Dueling Formulas and Symmetry.

Tuesday, May 24, 2016

Rosenhain and Göpel Revisited

Filed under: Uncategorized — Tags: , , — m759 @ 8:23 AM

The authors Taormina and Wendland in the previous post
discussed some mathematics they apparently did not know was
related to a classic 1905 book by R. W. H. T. Hudson, Kummer's
Quartic Surface
.

"This famous book is a prototype for the possibility
of explaining and exploring a many-faceted topic of
research, without focussing on general definitions,
formal techniques, or even fancy machinery. In this
regard, the book still stands as a highly recommendable,
unparalleled introduction to Kummer surfaces, as a
permanent source of inspiration and, last but not least, 
as an everlasting symbol of mathematical culture."

— Werner Kleinert, Mathematical Reviews ,
     as quoted at Amazon.com

Some 4×4 diagrams from that book are highly relevant to the
discussion by Taormina and Wendland of the 4×4 squares within
the 1974 Miracle Octad Generator of R. T. Curtis that were later,
in 1987, described by Curtis as pictures of the vector 4-space over
the two-element Galois field GF(2).

Hudson did not think of his 4×4 diagrams as illustrating a vector space,
but he did use them to picture certain subsets of the 16 cells in each
diagram that he called Rosenhain and Göpel tetrads .

Some related work of my own (click images for related posts)—

Rosenhain tetrads as 20 of the 35 projective lines in PG(3,2)

IMAGE- Desargues's theorem in light of Galois geometry

Göpel tetrads as 15 of the 35 projective lines in PG(3,2)

Anticommuting Dirac matrices as spreads of projective lines

Related terminology describing the Göpel tetrads above

Ron Shaw on symplectic geometry and a linear complex in PG(3,2)

Wednesday, March 2, 2016

A Defense of Meaning

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM
 

"In certain moods the horror of a word is the meaning it defends against all comers; so metaphor is the device by which one undermines that defense. In Stevens’ 'Someone Puts a Pineapple Together,' the someone contemplates 'A wholly artificial nature, in which / The profusion of metaphor has been increased.' If you put a pineapple together and see metaphors becoming more profuse, you release yourself from psychological determinations, you become a performative gesture and are happy to find yourself in that state. But then a scruple may assert itself:

He must say nothing of the fruit that is
Not true, nor think it, less. He must defy
The metaphor that murders metaphor.

Presumably a bad metaphor murders a good one: bad in the sense of telling lies, ignoring the truths that can’t honorably be ignored."

— Denis Donoghue, "The Motive for Metaphor,"
     The Hudson Review , Winter 2013 issue

A Geometric Glitter

Filed under: Uncategorized — Tags: — m759 @ 11:10 AM

"In the planes that tilt hard revelations on
The eye, a geometric glitter, tiltings …."

— Wallace Stevens, "Someone Puts a Pineapple Together" (1947)

Tuesday, March 1, 2016

Art and Geometry

Filed under: Uncategorized — Tags: — m759 @ 1:20 PM

See "Behind the Glitter" (a recent magazine article
on Oslo artist Josefine Lyche), and the much more
informative web page Contact (from Noplace, Oslo).

From the latter —

"Semiotics is a game of ascribing meaning, or content, to mere surface."

Friday, February 26, 2016

Overarching

Filed under: Uncategorized — Tags: — m759 @ 4:00 PM

(Continued)

"The study of social memory allows scholars to
understand how different memories form within
a collective group, thus exploring the societal
and ideological elements of disparate groups
that form the over-arching memory of Melkisedeq."

The Melkisedeq Memoirs , by Cale Staley,
2015 master's thesis at the University of Iowa

Elements of groups that I prefer —

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

Literacy Test

Filed under: Uncategorized — Tags: , — m759 @ 3:13 PM
 
כֵּֽאלֹהִ֔ים

Being Interpreted:

9 + 4 = 13.

Midrash

Line at Infinity .

Thursday, February 25, 2016

Mixed Emojis

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

For the New York Post 's Kyle Smith

Wednesday, February 24, 2016

Logos

Filed under: Uncategorized — Tags: — m759 @ 7:14 PM

For related episodes, see previous posts tagged "The Fit."

Sunday, February 21, 2016

Phone Logic

Filed under: Uncategorized — Tags: — m759 @ 9:23 PM

" 'This is a new category (of device) we’re talking about,'
said Andy Nuttall, HP’s director of mobility strategy.
HP introduced the device Sunday ahead of this week’s
Mobile World Congress trade show in Barcelona, Spain."

— Matt Day in The Seattle Times  today

See also the previous post and the recent film "The Intern."

"Buckle up!" — Harlan Kane

The Masonic Mandorla

Filed under: Uncategorized — Tags: — m759 @ 7:45 PM

A post for Tom Hanks and Dan Brown

Fictional Harvard professor of symbology Robert Langdon, as portrayed by Tom Hanks

Yahoo! President and CEO Marissa Mayer delivers a keynote
during the Yahoo Mobile Developers Conference on February 18,
2016, at Nob Hill Masonic Center in San Francisco, California.
Credit: Stephen Lam

Saturday, February 13, 2016

The Path

Filed under: Uncategorized — Tags: — m759 @ 5:45 PM

(The title is a reference to the previous post.)

"Pope Reminds Us The Devil Is Real"
Catholic Online , Oct. 14, 2013

Related material:

The reported death of Justice Scalia

and posts on Scalia in this  journal.

Friday, February 12, 2016

The Game

Filed under: Uncategorized — Tags: — m759 @ 8:14 PM

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

Monday, January 25, 2016

A Hateful Eight

Filed under: Uncategorized — Tags: , — m759 @ 8:00 AM

In memory of physicist David Ritz Finkelstein,
who reportedly died yesterday —

"His sense of irony and precision was appreciated" ….

Precision

Irony

An illustration of the song "Stuck in the Middle with You"
(from the Tarantino film "Reservoir Dogs") was posted by
an academic at Christmas 2015 —

See also, in this  journal,
The Jewel in the Lotus Meets the Kernel in the Nutshell 
(December 16, 2015).

Sunday, January 24, 2016

Long Line

Filed under: Uncategorized — Tags: — m759 @ 6:00 PM

"The ideal of a complete mathematical theory of beauty
lies on the same long line of distinguished fantasies of
mathematical wisdom as the number mysticism of
Pythagoras and Plato, the Ars Magna  of Ramon Llull
(whom Agrippa studied) and Giordano Bruno
(who studied Llull and Agrippa), the vision of Mathesis
Universalis
  that Descartes and Leibniz shared, and the
Ars Combinatoria  of Leibniz. Dürer does not deny the
existence of absolute beauty but despairs of knowing it."

The late David Ritz Finkelstein in 2007.
     He reportedly died today.

Sunday, December 13, 2015

Another Opening, Another Show

Filed under: Uncategorized — 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

Midrash:
Vonnegut Asterisk

The Monster as Big as the Ritz

Filed under: Uncategorized — Tags: , — m759 @ 11:30 AM

"The colorful story of this undertaking begins with a bang."

— Martin Gardner on the death of Évariste Galois

Monday, November 16, 2015

Good Question.

Filed under: Uncategorized — Tags: — m759 @ 4:00 PM

YouTube 

Uploaded on Sep 17, 2009

Who'll love the devil?
Who'll sing his song?
Who will love the devil and his song?

"The pictures are understood to have been taken
just a few minutes before three gunmen burst into
the venue at 9.40pm (8.40pm GMT) as the
Californian rock band were launching into one of
their favourites, Kiss The Devil."

Read more: DailyMail.com.

Friday, November 13, 2015

A Connection between the 16 Dirac Matrices and the Large Mathieu Group

Filed under: Uncategorized — Tags: , — m759 @ 2:45 AM



Note that the six anticommuting sets of Dirac matrices listed by Arfken
correspond exactly to the six spreads in the above complex of 15 projective
lines of PG(3,2) fixed under a symplectic polarity (the diamond theorem
correlation
 
). As I noted in 1986, this correlation underlies the Miracle
Octad Generator of R. T. Curtis, hence also the large Mathieu group.

References:

Arfken, George B., Mathematical Methods for Physicists , Third Edition,
Academic Press, 1985, pages 213-214

Cullinane, Steven H., Notes on Groups and Geometry, 1978-1986

Related material:

The 6-set in my 1986 note above also appears in a 1996 paper on
the sixteen Dirac matrices by David M. Goodmanson —

Background reading:

Ron Shaw on finite geometry, Clifford algebras, and Dirac groups 
(undated compilation of publications from roughly 1994-1995)—

Friday, October 23, 2015

Retro or Not?

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

Happy birthday to the late Michael Crichton (Harvard '64).

See also Diamond Theory Roulette —

Part of the ReCode Project (http://recodeproject.com).
Based on "Diamond Theory" by Steven H. Cullinane,
originally published in "Computer Graphics and Art" 
Vol. 2 No. 1, February 1977.
Copyright (c) 2013 Radames Ajna 
— OSI/MIT license (http://recodeproject/license).

Related remarks on Plato for Harvard's
Graduate School of Design

See also posts from the above publication date, March 31,
2006, among posts now tagged "The Church in Philadelphia."

Thursday, October 22, 2015

A Marriage of Heaven and Hell

Filed under: Uncategorized — Tags: — m759 @ 12:00 PM

Later … (Click to enlarge.)

See as well last night's post Objective Quality.

Thursday, October 15, 2015

Contrapuntal Interweaving

Filed under: Uncategorized — Tags: — m759 @ 2:01 AM

The title is a phrase from R. D. Laing's book The Politics of Experience .
(Published in the psychedelic year 1967. The later "contrapuntal interweaving"
below is of a less psychedelic nature.)

An illustration of the "interweaving' part of the title —
The "deep structure" of the diamond theorem:

IMAGE- A symplectic structure -- i.e. a structure that is symplectic (meaning plaited or woven).

The word "symplectic" from the end of last Sunday's (Oct. 11) sermon
describes the "interwoven" nature of the above illustration.

An illustration of the "contrapuntal" part of the title (click to enlarge):

 

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