Log24

Monday, April 8, 2019

Misère Play

Filed under: General — Tags: , — m759 @ 5:21 PM

Facebook on Bloomsday 2017 —

Also on that Bloomsday —

Chalkroom Jungle Revisited —

Wednesday, April 3, 2019

The Malkovich Pictures

Filed under: General — Tags: — m759 @ 10:27 PM

". . . humanity battling an unseen force . . . ." —

Quantum Space Elements?

Nocturnal Object of Beauty

Filed under: General — Tags: — m759 @ 2:41 AM

http://www.log24.com/log/pix11B/110712-ObjectOfBeauty.jpg
 

 

What is going on in this picture?
 

Monday, February 25, 2019

The Deep Six

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

". . . this notion of ‘depth’ is an elusive one
even for a mathematician who can recognize it. . . ."

— G. H. Hardy, A Mathematician's Apology

See Six-Set in this journal.

“Far from the shallow now”

Filed under: General,Geometry — Tags: , , , — m759 @ 12:06 AM

See posts tagged depth.

See as well Eddington Song and the previous post.

Sunday, February 24, 2019

Exceeding His Grasp

Filed under: General,Geometry — Tags: , , , — m759 @ 4:09 PM

See also Hudson Hawk in this  journal.

Saturday, February 23, 2019

Code Rain

Filed under: General — Tags: — m759 @ 11:30 PM

See 031105-code in this journal, the Wachowskis
at Wikipedia, and The Omega Matrix in this journal.

Austrian Wins Kyoto Prize (Revisited)

Filed under: General — Tags: — m759 @ 3:29 PM

For the title, see Schwarzenegger and "Clockwork Orange"
in the June 2005 post "All in the Timing."

Related music — Taps for Donen

Donen reportedly died on Thursday.
See this journal on that day for a related
New York Times  meditation.

Thursday, February 21, 2019

Frenkel on “the Rashomon Effect”

Filed under: General — Tags: , — m759 @ 1:44 PM

Earlier in Frenkel's above opinion piece —

"What this research implies is that we are not just hearing
different 'stories' about the electron, one of which may be
true. Rather, there is one true story, but it has many facets,
seemingly in contradiction, just like in 'Rashomon.' 
There is really no escape from the mysterious — some
might say, mystical — nature of the quantum world."

See also a recent New Yorker  version of the fashionable cocktail-party
phrase "the Rashomon effect."

For a different approach to the dictum "there is one true story, but
it has many facets," see . . .

"Read something that means something."
New Yorker  motto

Monday, February 18, 2019

The Joy of Six

Filed under: General,Geometry — Tags: , , — m759 @ 3:00 PM


__________________________________________________________________________

See also the previous post.

I prefer the work of Josefine Lyche on the smallest perfect number/universe.

Context —

Lyche's Lynx760 installations and Vigeland's nearby Norwegian  clusterfuck.

Quantum Choreography

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

In the beginning of the 1954 film "Seven Brides for Seven Brothers,"
Adam, oldest of the brothers, is paired with Milly. The problem then is
to find brides for Adam's six brothers.

Above is a video illustration, published on Aug. 12, 2016, of the six couples. 
Matching them involves some choreography.

See also this  journal on Aug. 12, 2016 — "Dustbucket Physics" —

" through the proposition machine of quantum mechanics
comes pregeometry; pregeometry makes geometry;
geometry gives rise to matter and the physical laws
and constants of the universe." 

— Harvard professor Peter Galison, 
     defender of the faith of Scientism

For a different sort of quantum "proposition machine," see posts tagged
Dirac and Geometry.

Thursday, February 7, 2019

Geometry of the 4×4 Square: The Kummer Configuration

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

From the series of posts tagged Kummerhenge

A Wikipedia article relating the above 4×4 square to the work of Kummer —

A somewhat more interesting aspect of the geometry of the 4×4 square
is its relationship to the 4×6 grid underlying the Miracle Octad Generator
(MOG) of R. T. Curtis.  Hudson's 1905 classic Kummer's Quartic Surface
deals with the Kummer properties above and also foreshadows, without
explicitly describing, the finite-geometry properties of the 4×4 square as
a finite affine 4-space — properties that are of use in studying the Mathieu
group M24  with the aid of the MOG.

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'

Installasjon

Filed under: General,Geometry — Tags: , , — m759 @ 5:13 AM

'Josefine Lyche,' 'Interlock, Interlac, Interweave'

The above cryptic search result indicates that there may
soon be a new Norwegian art installation based on this page
of Eddington (via Log24) —

See also other posts tagged Kummerhenge.

Wednesday, January 23, 2019

Decorated

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

For those who prefer more elaborate decorations —

1.  A Facebook image from last August … 

2.  The Facebook glider suggests a tune from "The Thomas Crown Affair"
     (1968) that appeared in a Dec. 16, 2018 post on Christianity and
     "interlocking names"—

'The Eddington Song'

The revised lyrics describe a square space.

3.  An even more  elaborate square space:
     the Dance of the Snowflakes from
     Balanchine's version of The Nutcracker —

Friday, January 18, 2019

The Woke Grids …

Filed under: General — Tags: , — m759 @ 10:45 AM

… as opposed to The Dreaming Jewels .

A July 2014 Amsterdam master's thesis on the Golay code
and Mathieu group —

"The properties of G24 and M24 are visualized by
four geometric objects:  the icosahedron, dodecahedron,
dodecadodecahedron, and the cubicuboctahedron."

Some "geometric objects"  — rectangular, square, and cubic arrays —
are even more fundamental than the above polyhedra.

A related image from a post of Dec. 1, 2018

Sunday, January 13, 2019

The Clifford Narrative

Filed under: General — Tags: — m759 @ 3:17 AM

See also Clifford in this  journal, in particular 
The Matrix for Quantum Mystics 
(Log24, St. Andrew's Day, 2017).

Saturday, January 12, 2019

The Spinning

Filed under: General — Tags: — m759 @ 11:17 AM

 

See also Atiyah and Shaw.

 
 

Friday, January 11, 2019

Permutations at Oslo

Filed under: General — Tags: , — m759 @ 8:45 PM

Webpage at Oslo of Josefine Lyche, 'Plato's Diamond'

See also yesterday's  Archimedes at Hiroshima  and the
above 24 graphic permutations on  All Souls' Day 2010.

For some backstory, see Narrative Line (November 10, 2014).

 
 

Thursday, January 10, 2019

Archimedes at Hiroshima

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

Two examples from the Wikipedia article  "Archimedean solid" —

Iain Aitchison said in a talk last year at Hiroshima that
the Mathieu group M24  can be represented as permuting
naturally the 24 edges  of the cuboctahedron.

The 24 vertices  of the truncated  octahedron are labeled 
naturally by the 24 elements of S4  in a permutahedron

Can M24  be represented as permuting naturally
the 24 vertices  of the truncated octahedron?

 
 

Reality at Virginia Tech:

Filed under: General — Tags: — m759 @ 6:40 PM

The Takeuchi Question —

From remarks at Miami last December:

A similiar question about the Fano plane —

Can we make the model more "real"?

From remarks here last November:

Toy Story Continues.

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

Takeuchi, Miami 2018- Spekkens's Toy Model and Vector Spaces over Galois Fields

See also Spekkens in this  journal.

Wednesday, January 9, 2019

Valid States of Maximal Knowledge

Filed under: General — Tags: — m759 @ 9:30 PM

"Few scripts would have the audacity
to have the deus ex machina be
Captain Midnight  decoder ring."

Review of "The House with
a Clock in Its Walls" (2018 film) 

Related mathematics (click to enlarge) . . .

The "uwa.edu.au" above is for the University of Western Australia.
See the black swan in its coat of arms (and in the above film).

Saturday, December 22, 2018

The Hat Tip

Filed under: General — Tags: , — m759 @ 9:59 PM

"Form the turtle!"
— Rex Harrison, quoted here
on March 12, 2005.

Cremona-Richmond

Filed under: General,Geometry — Tags: , — m759 @ 12:34 PM

The following are some notes on the history of Clifford algebras
and finite geometry suggested by the "Clifford Modules" link in a
Log24 post of March 12, 2005

A more recent appearance of the configuration —

Thursday, December 20, 2018

Slow

Filed under: General — Tags: , — m759 @ 8:12 PM

Some images suggested by the previous post and by the date
of the documentary below — March 12, 2005 —

See also Slow Art.

Tuesday, December 18, 2018

Shadowhunter Tales

Filed under: General — Tags: , — m759 @ 12:59 PM

The recent post "Tales from Story Space," about the 18th birthday
of the protagonist in the TV series "Shadowhunters" (2016-),
suggests a review of the actual  18th birthday of actress Lily Collins.

Collins is shown below warding off evil with a magical rune as
a shadowhunter in the 2013 film "City of Bones" —

She turned 18 on March 18, 2007.  A paper on symmetry and logic
referenced here on that date displays the following "runes" of 
philosopher Charles Sanders Peirce

See also Adamantine Meditation  (Log24, Oct. 3, 2018)
and the webpage Geometry of the I Ching.

Monday, December 17, 2018

Tales from Story Space

Filed under: General — Tags: , — m759 @ 2:45 PM

"Kiernan Brennan Shipka  (born November 10, 1999)
is an American actress. She is best known for starring as 
Sabrina Spellman on the Netflix supernatural horror series 
Chilling Adventures of Sabrina  (2018–present)." — Wikipedia

As noted here earlier, Shipka turned 18 on Nov. 10 last year.

From Log24 on that date

Another 18th birthday in Story Space

Sunday, December 16, 2018

Interlocking

Filed under: General,Geometry — Tags: , — m759 @ 2:30 PM

http://m759.net/wordpress/?s=Eddington+Song

'The Eddington Song'

Wednesday, December 12, 2018

An Inscape for Douthat

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

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

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

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


 

Related material — the phrase
"Quantum Tesseract Theorem" and  

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

B.  A quote from the 1962 book —

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

Friday, December 7, 2018

The Angel Particle

Filed under: G-Notes,General,Geometry — Tags: , , — m759 @ 7:15 PM

(Continued from this morning)

Majorana spinors and fermions at ncatlab

The Gibbons paper on the geometry of Majorana spinors and the Kummer configuration

"The hint half guessed, the gift half understood, is Incarnation."

— T. S. Eliot in Four Quartets

Geometric incarnation and the Kummer configuration

See also other Log24 posts tagged Kummerhenge.

Wednesday, November 21, 2018

Opening Credits

Filed under: General,Geometry — Tags: — m759 @ 7:47 PM

From Log24 on Friday, Nov. 16

This evening's New York Times  on an opening-credits designer, 
Pablo Ferro, who reportedly died at 83 on Friday, Nov. 16 —

An example of Ferro's later work in film —

Musical accompaniment from Sunday morning —

'The Eddington Song'

Tuesday, November 20, 2018

Logos

Filed under: General,Geometry — Tags: — m759 @ 12:21 PM

(Continued)

Musical accompaniment from Sunday morning

'The Eddington Song'

Update of Nov. 21 —

The reader may contrast the above Squarespace.com logo
(a rather serpentine version of the acronym SS) with a simpler logo
for a square space (the Galois window ):

Sunday, November 18, 2018

Space Music

Filed under: General,Geometry — Tags: , , — m759 @ 9:27 AM

'The Eddington Song,' based on 'The Philosophy of Physical Science,' p. 141 (1939)

Update of Nov. 19 —

"Design is how it works." — Steve Jobs

See also www.cullinane.design.

Tuesday, November 13, 2018

Blackboard Jungle Continues.

Filed under: G-Notes,General,Geometry — Tags: — m759 @ 6:19 PM

From the 1955 film "Blackboard Jungle" —

From a trailer for the recent film version of A Wrinkle in Time

Detail of the phrase "quantum tesseract theorem":

From the 1962 book —

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

Related mathematics from Koen Thas that some might call a
"quantum tesseract theorem" —

Some background —

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

See also posts tagged Dirac and Geometry. For more
background on finite  geometry, see a web page
at Thas's institution, Ghent University.

Tuesday, October 30, 2018

Ojos

Filed under: General — Tags: , — m759 @ 11:11 PM

From the Hulu series 'The Path,' the Eye logo

A better term than "phase space" might be "story space."

Story Structure, Story Space

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

Constance Grady at Vox  today on a new Netflix series —

We don’t yet have a story structure that allows witches to be powerful for long stretches of time without men holding them back. And what makes the new Sabrina  so exciting is that it seems to be trying to build that story structure itself, in real time, to find a way to let Sabrina have her power and her freedom.

It might fail. But if it does, it will be a glorious and worthwhile failure — the type that comes with trying to pioneer a new kind of story.

See also Story Space  in this  journal.

Wednesday, October 24, 2018

Shadowlands

Filed under: General — Tags: , — m759 @ 4:38 AM

The previous post suggests a review.

Following the above reference to March 30, 2016 —

Following the above reference to Lovasz —

The Path of Logic

Filed under: General — Tags: , — m759 @ 3:05 AM

Monday, October 22, 2018

Story Space

Filed under: General — Tags: — m759 @ 4:48 PM

A better term than "phase space" might be "story space."

See as well Expanding the Spielraum.

Thursday, September 20, 2018

Clash of the Titans

Filed under: General — Tags: , — m759 @ 6:18 PM

Saturday, September 1, 2018

Another 48 Hours

Filed under: General — Tags: — m759 @ 9:29 PM

http://www.log24.com/log/pix18/180901-Elliott-Gould-in-Oceans-8.jpg

Backstory:  See The Plaid Overnight Case in this journal.

Investigators: First 48 Hours Most Critical
In Locating Missing Children Who Entered
Portal To Fantastical World

See as well a post from 10:16 PM ET Thursday, August 30, 2018.

Friday, August 31, 2018

Perception of Number

Filed under: General,Geometry — Tags: — m759 @ 8:31 PM

Review of yesterday's post Perception of Space

From Harry Potter and the Philosopher's Stone  (1997),
republished as "… and the Sorcerer's Stone ," Kindle edition:

http://www.log24.com/log/pix18/180830-Harry_Potter_Phil_Stone-wand-movements-quote.jpg

In a print edition from Bloomsbury (2004), and perhaps in the
earliest editions, the above word "movements" is the first word
on page 168:

http://www.log24.com/log/pix18/180830-Harry_Potter-Phil_Stone-Bloomsbury-2004-p168.jpg

Click the above ellipse for some Log24 posts on the eightfold cube,
the source of the 168 automorphisms ("movements") of the Fano plane.

"Refined interpretation requires that you know that
someone once said the offspring of reality and illusion
is only a staggering confusion."

— Poem, "The Game of Roles," by Mary Jo Bang

Related material on reality and illusion
an ad on the back cover of the current New Yorker

http://www.log24.com/log/pix18/180831-NYer-back-cover-ad-Lifespan_of_a_Fact.jpg

"Hey, the stars might lie, but the numbers never do." — Song lyric

Thursday, August 30, 2018

Twenty Years

Filed under: General — Tags: — m759 @ 10:16 PM

This post was suggested by the final inside page, 23,
of next Sunday's New York Times Book Review ,
"Memorabilia/ Happy 20th Anniversary, Harry Potter."

http://www.log24.com/log/pix18/180830-Harry_Potter-20th-NYT-500w.jpg

From VOA Learning English, June 26, 2017

J.K. Rowling's Harry Potter Books
Turn 20 Years Old

. . . .

" J.K. Rowling’s first book about Harry and his friends at Hogwarts School of Witchcraft and Wizardry was released on June 26, 1997.

The publisher, Bloomsbury, only released 500 copies to stores in Britain and sent 500 to British libraries.

Now, thanks to 450 million more copies of the first book and six others, Harry Potter and his friends are known around the world.

Adults and children loved the books. But 12 publishers rejected the first one, known in many countries as 'Harry Potter and the Philosopher’s Stone.' "

. . . .

See as well this  journal on June 26, 2017 in
posts now tagged Ron Shaw In Memoriam.

Thursday, August 9, 2018

Annals of Phenomenology

Filed under: General — Tags: — m759 @ 12:29 AM

(Continued from yesterday)

http://www.log24.com/log/pix18/180809-Anima_Mundi-Phane_Sense-post-111014.jpg

Wednesday, August 8, 2018

ART WARS: Poetry for Drama Queens

Filed under: General — Tags: — m759 @ 6:08 PM

http://www.log24.com/log/pix18/180808-Cosima_drank_the_purple_kool-aid-500w.jpg

Annals of Phenomenology

Filed under: General — Tags: — m759 @ 4:44 PM

The Return of Purple Man
Or:  This Just In

Detail from a post of yesterday morning taken from
the laptop of private investigator Jessica Jones —

http://www.log24.com/log/pix18/180808-Jessica_Jones-laptop-detail-256w.jpg

The above image, together with yesterday's date, suggested, rather
fancifully, yesterday morning's later post on just intonation, "Seventh."

The nemesis of Jessica Jones, the Purple Man

http://www.log24.com/log/pix18/180808-comicbook.com-purplemandavidtennant-127648-500w.jpg

A New York Times  piece today* is related to both just intonation and
the color purple —

http://www.log24.com/log/pix18/180808-Purple_Piano_Tuning-NYT.jpg

* Published at 1:50 PM ET —
itemprop="datePublished" content="2018-08-08T17:50:30.000Z"

Tuesday, August 7, 2018

Seventh

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

 A Requiem Chord

Tom StoppardJumpers —

“Heaven, how can I believe in Heaven?” 
she sings at the finale.

“Just a lying rhyme for seven!”

Perhaps.

http://www.log24.com/log/pix18/180807-Gage_Averill-Four_Parts-p-164.gif

Annals of E-Romance:

Filed under: General — Tags: , — m759 @ 2:22 AM

Smartphone Meets Laptop

http://www.log24.com/log/pix18/180807-Jessica_Jones-S1-E13-AKA-Smile-smartphone-meets-laptop.jpg

Some related narrative from the previous post

“All right, Jessshica. It’s time to open the boxsssschhh.”

Monday, August 6, 2018

The Girl with Kaleidoscope Eyes

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

http://www.log24.com/log/pix18/180806-Lexicon-image-search.jpg

“All right, Jessshica. It’s time to open the boxsssschhh.”

“Gahh,” she said. She began to walk toward the box, but her heart failed her and she retreated back to the chair. “Fuck. Fuck.” Something mechanical purred. The seam she had found cracked open and the top of the box began to rise. She squeezed shut her eyes and groped her way into a corner, curling up against the concrete and plugging her ears with her fingers. That song she’d heard the busker playing on the train platform with Eliot, “Lucy in the Sky with Diamonds”; she used to sing that. Back in San Francisco, before she learned card tricks. It was how she’d met Benny: He played guitar. Lucy was the best earner, Benny said, so that was mainly what she sang. She must have sung it five times an hour, day after day. At first she liked it but then it was like an infection, and there was nothing she could do and nowhere she could go without it running across her brain or humming on her lips, and God knew she tried; she was smashing herself with sex and drugs but the song began to find its way even there. One day, Benny played the opening chord and she just couldn’t do it. She could not sing that fucking song. Not again. She broke down, because she was only fifteen, and Benny took her behind the mall and told her it would be okay. But she had to sing. It was the biggest earner. She kind of lost it and then so did Benny and that was the first time he hit her. She ran away for a while. But she came back to him, because she had nothing else, and it seemed okay. It seemed like they had a truce: She would not complain about her bruised face and he would not ask her to sing “Lucy.” She had been all right with this. She had thought that was a pretty good deal.

Now there was something coming out of a box, and she reached for the most virulent meme she knew. “Lucy in the sky!” she sang. “With diamonds!”

•   •   •

Barry, Max. Lexicon: A Novel  (pp. 247-248).
Penguin Publishing Group. Kindle Edition.

Related material from Log24 on All Hallows' Eve 2013

"Just another shake of the kaleidoscope" —

Related material:

Kaleidoscope Puzzle,  
Design Cube 2x2x2, and 
Through the Looking Glass: A Sort of Eternity.

Summer in Philadelphia

Filed under: General — Tags: — m759 @ 2:59 PM

http://www.log24.com/log/pix18/180806-Old_City_Hall-Philadelphia.jpg

See also this  journal on June 21st, 2013.

Thursday, July 12, 2018

The Bell

Filed under: General — Tags: , — m759 @ 6:11 PM

Three hidden keys open three secret gates
Wherein the errant will be tested for worthy traits
And those with the skill to survive these straits
Will reach The End where the prize awaits

— Ready Player One , by Ernest Cline

"Look, my favorite expression is,
'When you go up to the bell, ring it,
or don’t go up to the bell.'
We’ve gone too far. We have to ring the bell."

Mel Brooks on "The Producers"
     in The New York Times  today.

A 2016 Scribner edition of Stephen King's IT —

Related material —

Mystery box  merchandise from the 2011  J. J. Abrams film  Super 8 

Kummerhenge Illustrated

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

      

“… the utterly real thing in writing is the only thing that counts…."

— Maxwell Perkins to Ernest HemingwayAug. 30, 1935

"Omega is as real  as we need it to be."

— Burt Lancaster in "The Osterman Weekend"

Wednesday, July 11, 2018

Titans

Filed under: General — Tags: — m759 @ 5:01 PM

"By The Boston Globe

July 10, 2018

The private jets have begun clogging the jetways
in Sun Valley, Idaho, which can only mean one thing:
'Billionaire summer camp’' has begun.

The annual Allen & Company conference, the investment
firm’s invite-only gathering of some of the world’s most
powerful corporate titans, officially begins on Wednesday."

In other news —

"NASHVILLE, Tenn. 

Get ready to see the Titans in training camp."

See also another  post now tagged "Clash of the Titans."

Friday, July 6, 2018

Something

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

"… Only by the form, the pattern,
Can words or music reach
The stillness, as a Chinese jar still
Moves perpetually in its stillness."

— T. S. Eliot, "Burnt Norton," 1936

"Read something that means something."

Advertising slogan for The New Yorker

The previous post quoted some mystic meditations of Octavio Paz
from 1974. I prefer some less mystic remarks of Eddington from
1938 (the Tanner Lectures) published by Cambridge U. Press in 1939 —

"… we have sixteen elements with which to form a group-structure" —

See as well posts tagged Dirac and Geometry.

Thursday, June 21, 2018

Dirac and Geometry (continued)

"Just fancy a scale model of Being 
made out of string and cardboard."

Nanavira Thera, 1 October 1957,
on a model of Kummer's Quartic Surface
mentioned by Eddington

"… a treatise on Kummer's quartic surface."

The "super-mathematician" Eddington did not see fit to mention
the title or the author of the treatise he discussed.

See Hudson + Kummer in this  journal.

See also posts tagged Dirac and Geometry.

Saturday, June 9, 2018

SASTRA paper

Filed under: General,Geometry — Tags: — m759 @ 11:14 PM

Now out from behind a paywall . . .

The diamond theorem at SASTRA —

Thursday, June 7, 2018

Paved with Good Intentions

Filed under: General — Tags: — m759 @ 9:29 PM

'The Road to Universal Logic: Festschrift …'

See also David Brooks on logic in today's online New York Times —

"…the necessary skill of public life, the ability to
see two contradictory truths at the same time." 

For Dan Brown

Filed under: General,Geometry — Tags: — m759 @ 1:09 PM

See also Eightfold Trinity in this  journal.

Symbologist Robert Langdon views a corner of Solomon's Cube

Tuesday, May 22, 2018

Doppelgänger

Filed under: General — 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: General,Geometry — 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: General,Geometry — 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: General — Tags: , , , — m759 @ 10:48 AM

Wednesday, May 9, 2018

Once Upon a . . .

Filed under: General,Geometry — Tags: — m759 @ 10:13 AM

Click the text below for a slideshow.

Monday, January 8, 2018

Time

Filed under: Uncategorized — m759 @ 12:00 AM 

Monday, May 7, 2018

Fish Babel

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

Stanley Fish in the online New York Times  today

". . . Because it is an article of their faith that politics are bad
and the unmediated encounter with data is good,
internet prophets will fail to see the political implications
of what they are trying to do, for in their eyes political implications
are what they are doing away with.

Indeed, their deepest claim — so deep that they are largely
unaware of it — is that politics can be eliminated. They don’t
regard politics as an unavoidable feature of mortal life but as
an unhappy consequence of the secular equivalent of the
Tower of Babel: too many languages, too many points of view.
Politics (faction and difference) will just wither away when
the defect that generates it (distorted communication) has
been eliminated by unmodified data circulated freely among
free and equal consumers; everyone will be on the same page,
reading from the same script and apprehending the same
universal meanings. Back to Eden!"

The final page, 759, of the Harry Potter saga —

"Talk about magical thinking!" — Fish, ibidem .

See also the above Harry Potter page 
in this  journal Sunday morning.

Sunday, May 6, 2018

The Osterman Omega

Filed under: General,Geometry — Tags: , — m759 @ 5:01 PM

From "The Osterman Weekend" (1983) —

Counting symmetries of the R. T. Curtis Omega:

An Illustration from Shakespeare's birthday

Counting symmetries with the orbit-stabilizer theorem

Saturday, May 5, 2018

Plugin

Filed under: General — 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: General,Geometry — 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: General — 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: General — 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: General — 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: General — 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: General,Geometry — 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: General — 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: General — 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: General — 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: General — 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: General — Tags: — m759 @ 1:51 PM

Continued from Monday morning, for Lev Grossman —

Monday, April 9, 2018

The Long Hello

Filed under: General,Geometry — Tags: , — m759 @ 9:17 PM

Transportes Ometochtli   >>

Es la línea de transporte más antigua que va de Cuernavaca a Tepoztlán . . . .

Image from the 1973 Elliott Gould film "The Long Goodbye" —

Some backstory . . . .

  1. https://hidden-films.com/2014/11/09/the-little-movie-that-couldnt-
    an-oral-history-of-elliott-goulds-never-completed-a-glimpse-of-tiger/

     
  2. https://en.wikipedia.org/wiki/A_Glimpse_of_Tiger
     
  3. http://m759.net/wordpress/?p=71956 —

Monday, January 8, 2018

Time

Filed under: Uncategorized — m759 @ 12:00 AM 

Dance

Filed under: General — 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: General — 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: General — 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: General — 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: General — 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: General,Geometry — Tags: — m759 @ 12:30 PM

Sure, Whatever.

Filed under: General,Geometry — 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: General,Geometry — 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: General,Geometry — 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: General,Geometry — 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: General,Geometry — Tags: — m759 @ 10:10 PM

Also on March 18, 2015 . . .

The Diamond Cube

Filed under: General,Geometry — 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: General,Geometry — 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 —

A Halmos tombstone and the tale of HAL and the pod bay doors

     "Open the pod bay doors, HAL."

Wednesday, March 7, 2018

Unite the Seven.

Filed under: General,Geometry — 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: General,Geometry — 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.'

Wednesday, January 24, 2018

The Pentagram Papers

Filed under: General,Geometry — Tags: — m759 @ 12:40 PM

(Continued)

From a Log24 post of March 4, 2008 —

SINGER, ISAAC:
"Are Children the Ultimate Literary Critics?"
Top of the News 29 (Nov. 1972): 32-36.

"Sets forth his own aims in writing for children and laments
'slice of life' and chaos in children's literature. Maintains that
children like good plots, logic, and clarity, and that they
have a concern for 'so-called eternal questions.'"

— An Annotated Listing of Criticism
by Linnea Hendrickson

"She returned the smile, then looked across the room to
her youngest brother, Charles Wallace, and to their father,
who were deep in concentration, bent over the model
they were building of a tesseract: the square squared,
and squared again: a construction of the dimension of time."

— A Swiftly Tilting Planet,
by Madeleine L'Engle

Cover of 'A Swiftly Tilting Planet' and picture of tesseract

For "the dimension of time," see A Fold in TimeTime Fold,
and Diamond Theory in 1937

A Swiftly Tilting Planet  is a fantasy for children 
set partly in Vespugia, a fictional country bordered by
Chile and Argentina.

Ibid.

The pen's point:

Wm. F. Buckley as Archimedes, moving the world with a giant pen as lever. The pen's point is applied to southern South America.
John Trever, Albuquerque Journal, 2/29/08

Note the figure on the cover of National Review  above —

A related figure from Pentagram Design

See, more generally,  Isaac Singer  in this  journal.

Monday, January 22, 2018

Hollywood Moment

Filed under: General,Geometry — 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: General — 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: General — Tags: — m759 @ 4:04 AM

Wednesday, January 17, 2018

At Heaven’s Gate

Filed under: General — 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: General,Geometry — 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:
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: General,Geometry — 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: General — 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: General,Geometry — 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

Time

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

Saturday, December 23, 2017

The Right Stuff

Filed under: G-Notes,General,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: General — 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: General — Tags: — m759 @ 3:35 AM

Sophia Lillis in Stephen King's IT (2017)— 'Right stuff' question

Friday, December 22, 2017

IT

Filed under: General,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: General — 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!"

Monday, December 11, 2017

The Diamond Theorem at SASTRA

Filed under: General,Geometry — Tags: — m759 @ 12:35 PM

The following IEEE paper is behind a paywall,
but the first page is now available for free
at deepdyve.com

For further details on the diamond theorem, see
finitegeometry.org/sc/ or the archived version at . . .

DOI

Sunday, December 10, 2017

Geometry

Google search result for Plato + Statesman + interlacing + interweaving

See also Symplectic in this journal.

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  figure appears in remarks on
the diamond-theorem correlation in the webpage
Rosenhain and Göpel Tetrads in PG(3,2). See also
related remarks on the notion of  linear  (or line ) complex
in the finite projective space PG(3,2) —

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)

Thursday, November 23, 2017

Lévi-Strauss vs. Propp

Filed under: General,Geometry — Tags: , — m759 @ 12:25 PM
 

​Claude Lévi-Strauss

From his "Structure and Form:
Reflections on a Work by Vladimir Propp
" *

To maintain. as I have done. that the permutability of contents is not arbitrary amounts to saying that, if the analysis is carried to a sufficiently deep level, behind diversity we will discover constancy. And, of course. the avowed constancy of form must not hide from us that functions are also permutable.

The structure of the folktale as it is illustrated by Propp presents a chronological succession of qualitatively distinct functions. each constituting an independent genre. One can wonder whether—as with dramatis personae and their attributes— Propp does not stop too soon, seeking the form too close to the level of empirical observation. Among the thirty-one functions that he distinguishes, several are reducible to the same  function reappearing at different  moments of the narrative but after undergoing one or a number of transformations . I have already suggested that this could be true of the false hero (a transformation of the villain), of assigning a difficult task (a transformation of the test), etc. (see p. 181 above), and that in this case the two parties  constituting the fundamental tale would themselves be transformations of each other.

Nothing prevents pushing this reduction even further and analyzing each separate partie  into a small number of recurrent functions, so that several of Propp's functions would constitute groups of transformations of one and the same function. We could treat the "violation" as the reverse of the "prohibition" and the latter as a negative transformation of the "injunction." The "departure" of the hero and his "return" would appear as the negative and positive expressions of the same disjunctive function. The "quest" of the hero (hero pursues someone or something) would become the opposite of "pursuit" (hero is pursued by something or someone), etc.

In Vol. I of Structural Anthropology , p. 209, I have shown that this analysis alone can account for the double aspect of time representation in all mythical systems: the narrative is both "in time" (it consists of a succession of events) and "beyond" (its value is permanent). With regard to Propp's theories my analysis offers another advantage: I can reconcile much better than Propp himself  his principle of a permanent order of wondertale elements with the fact that certain functions or groups of functions are shifted from one tale to the next (pp. 97-98. p. 108) If my view is accepted, the chronological succession will come to be absorbed into an atemporal matrix structure whose form is indeed constant. The shifting of functions is then no more than a mode of permutation (by vertical columns or fractions of columns).

These critical remarks are certainly valid for the method used by Propp and for his conclusions. However. it cannot be stressed enough that Propp envisioned them and in several places formulated with perfect clarity the solutions I have just suggested. Let us take up again from this viewpoint the two essential themes of our discussion: constancy of the content (in spite of its permutability) and permutability of functions (in spite of their constancy).

* Translated from a 1960 work in French.  It appeared in English as Chapter VIII
of Structural Anthropology, Volume 2  (U. of Chicago Press, 1976).  Chapter VIII
was originally published in Cahiers de l'Institut de Science 
Économique Appliquée , 
No. 9 (Series M, No. 7) (Paris: ISEA, March 1960).

See also "Lévi-Strauss" + Formula  in this journal.

Some background related to the previous post

Tuesday, November 21, 2017

Provocative Exhibitions

Filed under: General — Tags: — m759 @ 1:02 PM

Wikipedia on a figure from the previous post

" Antonelli  was recognized with an AIGA Medal in 2015
for 'expanding the influence of design in everyday life
by sharing fresh and incisive observations and
curating provocative exhibitions at MoMA'.[4] She was
rated one of the one hundred most powerful people in
the world of art by Art Review and Surface Magazine.[5]  "

Speaking of exhibitions —

Monday, November 20, 2017

Dating Charlie*

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

Washington Post  dateline . . .

November 20 at 6:34 PM

Address . . .

https://www.washingtonpost.com/investigations/
eight-women-say-charlie-rose-sexually-harassed-them
with-nudity-groping-and-lewd-calls/2017/11/20/ . . .

See also Charlie Rose in this  journal.

The only post found in a Log24 search for "Charlie Rose" is about
his May 7, 2008, interview with a Museum of Modern Art figure,
Paola Antonelli.  A more recent appearance by Antonelli

Synchronolgy check — Log24 on the date 5 June 2012.

* Title and wording of post revised the following day.

Saturday, October 28, 2017

Lowell Brown at Vanity Fair

Filed under: G-Notes,General,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: General,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: General,Geometry — Tags: — m759 @ 10:00 AM

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

Tuesday, October 10, 2017

Another 35-Year Wait

Filed under: G-Notes,General,Geometry — Tags: , — m759 @ 9:00 PM

The title refers to today's earlier post "The 35-Year Wait."

A check of my activities 35 years ago this fall, in the autumn
of 1982, yields a formula I prefer to the nonsensical, but famous,
"canonical formula" of Claude Lévi-Strauss.

The Lévi-Strauss formula

My "inscape" formula, from a note of Sept. 22, 1982 —

S = f ( f ( X ) ) .

Some mathematics from last year related to the 1982 formula —

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

See also Inscape in this  journal and posts tagged Dirac and Geometry.

Thursday, September 28, 2017

The Last Word

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

    See also a related Log24 post.

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