Log24

Tuesday, January 16, 2024

Monday, November 20, 2023

Annals of Symbology

Filed under: General — Tags: , , — m759 @ 8:16 am

See also Log24 on August 30, 2006.

Tuesday, November 7, 2023

If It’s Tuesday . . .

Filed under: General — Tags: — m759 @ 12:54 pm

See Antwerp in this journal…

Art related to a different location in Belgium —

Monday, November 6, 2023

Letter from Birmingham Grid

Filed under: General — Tags: , , , , — m759 @ 8:48 pm

"Just as Socrates felt that it was necessary to create a tension in the mind
so that individuals could rise from the bondage of myths and half-truths
to the unfettered realm of creative analysis and objective appraisal . . . ."

See also today's previous post, from "Terminator Zero: Rise of the Chatbots."

First OpenAI Developer Conference Is Today

Discuss:

Sunday, November 5, 2023

Art Song

Filed under: General — Tags: , , — m759 @ 8:37 am

From a December 2021 obituary —

"I'm just sittin' on the dock of the bay
Wastin' time"

Otis Redding

Friday, November 3, 2023

“Another Day, Another Couch”

Filed under: General — Tags: — m759 @ 2:25 am

Tuesday, October 31, 2023

Night Lights

Filed under: General — Tags: — m759 @ 12:49 pm

Some related percussion.

Shelter Journalism

Filed under: General — Tags: , , , , — m759 @ 12:19 pm

In memory of a shelter-magazine editor who reportedly
died on October 17, two posts from that date —

Barbie at the Space Barn and A Fair Thought.

Related art — Square Round and Round Square.

 

“Omega is as real  as we need it to be.”
— “The Osterman Weekend”

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

For art more closely related to the title "Alpha and Omega,"
see a different view of the above Hoyersten exhibition.

Keith Giffen, 1952-2023

Filed under: General — Tags: — m759 @ 3:46 am

Saturday, October 28, 2023

Art Space

Filed under: General — Tags: , , — m759 @ 1:19 am

Digital . . .

Physical . . .

Conceptual . . .

Friday, October 27, 2023

Blank Space

Filed under: General — Tags: , — m759 @ 5:37 pm

The Ghent Altarpiece version —

A Taylor Swift version —

For Sam Levinson . . .
Spaceballs . . . Merchandising!

Filed under: General — Tags: , — m759 @ 3:54 pm

Thursday, October 26, 2023

Working Blue

Filed under: General — Tags: , — m759 @ 3:16 pm

Light and Space* —  Facilis Descensus Averno

Filed under: General — Tags: , — m759 @ 4:46 am

A scene, at time-remaining 48:22 in "Beyond the Sea,"
that might be titled "The Landing."

* The "Light and Space" phrase is in memory of an artist who
reportedly died yesterday at 95 in La Jolla, California.

Barbenheimer for Bible Fans:
Valley of the Shadow of the Dolls

Filed under: General — Tags: , , , — m759 @ 12:47 am

Wednesday, October 25, 2023

Dreamgirls:  Kate Mara in  Space Barn!

Filed under: General — Tags: , , , — m759 @ 11:29 pm

The above piece is from Bloomsday 2023.  See also this  journal
on that date, as well as . . .

Posts of October 17 and 19.

Art Song

Filed under: General — Tags: , — m759 @ 2:53 pm

For Judy Chicago, Née Cohen

Filed under: General — Tags: — m759 @ 2:03 pm

From the University of Chicago Press

The Nutshell:

    Related Narrative:

………………………………………………………………………………………………………..

 

House Call

Filed under: General — Tags: , — m759 @ 6:24 am

"When you build your house
Then call me home"

— Fleetwood Mac, "Sara"

IMAGE- Right 3-4-5 triangle with squares on sides and hypotenuse as base

“If you have built castles in the air,
your work need not be lost;
that is where they should be.
Now put the foundations under them.”

— Henry David Thoreau

See also October 9, 16, 25.

Tuesday, October 24, 2023

A Bond with Reality:  The Geometry of Cuts

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


Illustrations of object and gestures
from finitegeometry.org/sc/ —

Object

Gestures

An earlier presentation of the above
seven partitions of the eightfold cube:

Seven partitions of the 2x2x2 cube in a book from 1906

Related mathematics:

The use  of binary coordinate systems
as a conceptual tool

Natural physical  transformations of square or cubical arrays
of actual physical cubes (i.e., building blocks) correspond to
natural algebraic  transformations of vector spaces over GF(2).
This was apparently not previously known.

See "The Thing and I."

and . . .

Galois.space .

 

Related entertainment:

Or Matt Helm by way of a Jedi cube.

Saturday, October 21, 2023

Adobe Dreamgirls

Filed under: General — Tags: , , — m759 @ 2:57 am

Tuesday, September 26, 2023

If It’s Tuesday, This Must Be Belgium

Filed under: General — Tags: , — m759 @ 9:19 am

Art Space: The Missing Links

Tuesday, Sept. 12, 2023. Tags:  — m759 @ 4:07 PM

Related material:  "Ducky" died,  Circle Zen,  Palmervision

Tuesday, September 12, 2023

Art Space

Filed under: General — Tags: , — m759 @ 4:07 pm

Tuesday, June 20, 2023

Emma Watson, Symmetry Surfer

Filed under: General — Tags: , — m759 @ 11:44 pm

See also . . . .

Menu Secreto

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

… And of Evolution

Filed under: General — Tags: , , — m759 @ 1:19 am

(Continued from the previous post, Annals of Devolution)

The above seems an improved version of the 
beach romp in the 2023 film of "The Portable Door."

♫ "Little bitty pretty one . . . ."

Monday, June 19, 2023

The Original Portable Door

Filed under: General — Tags: , , — m759 @ 3:26 pm

"… a cardboard tube, more or less the same length as
the inner core of a toilet roll, but thicker. He frowned,
took the roll out, laid it on the desk and poked up it
with the butt end of a pencil. Something slid out.
It looked like a rolled-up black plastic dustbin liner;
but when he unfolded it, he recognised it as the funny
sheet thing he’d found in the strongroom and briefly
described as an Acme Portable Door, before losing
his nerve and changing it to something less facetious." 

— Holt, Tom. The Portable Door . Orbit. Kindle Edition. 

According to goodreads.com, the Holt book was
"first published March 6, 2003."

Compare and contrast the "portable door" as a literary device
with the "tesseract" in A Wrinkle in Time  (1962).

See also this  journal on March 6, 2003.

The Date

Filed under: General — Tags: , — m759 @ 2:19 am

On finite geometries . . .

"Although many of these structures are studied for
their geometrical importance, they are also of great
interest in other, more applied domains of mathematics."

— Remark from the metadata of a mathematical article
dated September 22, 2021

More applied domains . . .

"Sex Show at a Brothel" — This  journal on September 22, 2021.

A scene from the "Badass Song" film mentioned in that post —

Another cinematic towel scene —

Sunday, June 18, 2023

A Nemesis of Romanticism

Filed under: General — Tags: , — m759 @ 2:16 pm

Thursday, June 15, 2023

Study in Red and Grey*

Filed under: General — Tags: — m759 @ 10:13 pm

For the blue-black frame, a hat tip to Willard Motley.

See also the above date — 6 Nov 2021 — in this  journal.

* See as well a Log24 search for Red and Gray .

Thursday, April 27, 2023

“One of These Nights”

Filed under: General — Tags: — m759 @ 10:58 pm

"We're gonna find out, Pretty Mama, what turns on your lights."

See also a scene from "Hook Man."

Sunday, February 26, 2023

TOE

Filed under: General — Tags: — m759 @ 2:24 am


 

Related images from The Crimson Abyss —

1984 —

IMAGE- 'Affine Groups on Small Binary Spaces,' illustration

2010 —

Logo design for Stack Exchange Math by Jin Yang

Thursday, December 1, 2022

Compare and Contrast

Filed under: General — Tags: — m759 @ 4:05 pm

From Log24 last summer . . .

Defense Against the Dark Arts

From Log24 yesterday:

Catchup for Blockheads . . . Da Capo

Related material: Posts tagged Metadata.

Thursday, November 24, 2022

The Drum Machine

Filed under: General — Tags: , , , — m759 @ 2:18 pm

"A struggling music producer sells his soul to a 1970s drum machine."

— Summary of a short film by Kevin Ignatius, "Hook Man."

The music producer pawns his current drum device 
and acquires a demonic 1970s machine.


Artistic symbolism —

The 16-pad device at left may be viewed by enthusiasts of ekphrasis
as a Galois tesseract, and the machine at right as the voice of
Hal Foster, an art theorist who graduated from Princeton in 1977.

For an example of Foster's prose style, see
the current London Review of Books.

Monday, August 1, 2022

Review

Filed under: General — Tags: , — m759 @ 5:12 am

From Log24 posts tagged Art Space —

From a paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader,
and Bernd Sturmfels —

IMAGE- 'Consider the 6-dimensional vector space over the 2-element field,' from 'The Universal Kummer Threefold'

Two such considerations —

IMAGE- 'American Hustle' and Art Cube

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

Tuesday, May 10, 2022

Inscrutable Art

Filed under: General — Tags: , , , — m759 @ 7:33 pm

A link to 

https://www.newyorker.com/magazine/
2022/05/16/how-queer-was-ludwig-wittgenstein

appeared today in my RSS feed as . . .

Related remarks: Art Space, a Log24 post of 7 May 2017.

The art above is by one Alexis Beauclair. See as well
an earlier illustration, also credited to Beauclair —

Thursday, April 7, 2022

Blue Cube Group

Filed under: General — Tags: , , , — m759 @ 10:47 am

For more advanced students . . .

.

Wednesday, April 6, 2022

Dia Space

Filed under: General — Tags: , , , — m759 @ 4:20 pm

The date of the above post
was also the date of . . .

Analytic Continuation —

Tuesday, April 5, 2022

“Analysis.” — Dr. Robert Ford in “Westworld”

Filed under: General — Tags: , , — m759 @ 2:23 pm

"Godard, in the final analysis, expands the Warburgian programme
of iconology into that of a cinematographic iconology of the interstice."

— The author of the essay quoted in the previous post.

Wednesday, December 8, 2021

’Musement

Filed under: General — Tags: , — m759 @ 2:37 pm

Related material — Disparate Images :

Joan Didion, The White Album :

“We tell ourselves stories in order to live….

We interpret what we see, select the most workable
of multiple choices. We live entirely, especially if we
are writers, by the imposition of a narrative line upon
disparate images, by the ‘ideas’ with which we have
learned to freeze the shifting phantasmagoria which
is our actual experience.

Or at least we do for a while. I am talking here about
a time when I began to doubt the premises of all the
stories I had ever told myself, a common condition
but one I found troubling.”

Monday, December 6, 2021

A Note for St. Nicholas

Filed under: General — Tags: , — m759 @ 6:52 pm

See as well posts tagged Art Space.

Monday, February 3, 2020

Notification

Filed under: General — Tags: , , , , — m759 @ 2:24 pm

George Steiner, death notification, 2:20 PM ET

See as well a Steiner book cover in Art Space, a post of May 7, 2017.

Thursday, July 26, 2018

Accio Watson

Filed under: General — Tags: — m759 @ 12:08 pm
 

Interview by Alice Lloyd George [AMLG] at techcrunch.com 
on April 17, 2017 —
. . . .

In an interview for Flux, I sat down with Natalya Bailey [NB], the co-founder and CEO of Accion Systems. 
. . . .

AMLG: When you talk about aliens I think of one of my favorite books by Carl Sagan  —  Contact. I don’t know if you ever watched the movie or read the book, but I picture you like Ellie in that film. She’s this brilliant scientist and stumbles across something big.

NB: I’ve definitely seen it. I’m currently making my way through Carl Sagan’s original Cosmos again.

AMLG: I love the original Cosmos. I’m a huge Carl Sagan fan, I love his voice, he’s so inspiring to listen to. Talking about books, I know you’re an avid reader. Did any books in particular influence you or your path to building Accion?

NB: Well I’m a gigantic Harry Potter fan and a lot of things around Accion are named after various aspects of Harry Potter, including the name Accion itself.

AMLG: Is that the Accio spell? The beckoning spell?

NB: Yes exactly. My co-founder and I were g-chatting late one night on a weekend and looking through a glossary of Harry Potter spells trying to name the company. Accio, the summoning spell, if you add an “N” to the end of it, it becomes a concatenation between “accelerate” and “ion,” which is what we do. That’s the official story of how we named the company, but really it was from the glossary of spells.

Related material — The Orbit Stabilizer Theorem.
See also the above date — April 17, 2017 —
in posts tagged Art Space.

Sunday, July 22, 2018

Space

Filed under: General,Geometry — Tags: , , , — m759 @ 10:29 am

See also interality in the eightfold cube.

IMAGE- The Trinity Cube (three interpenetrating planes that split the eightfold cube into its eight subcubes)

Sunday, March 4, 2018

The Square Inch Space: A Brief History

Filed under: General,Geometry — Tags: , — m759 @ 11:21 am

1955  ("Blackboard Jungle") —

1976 —

2009 —

2016 —

 Some small Galois spaces (the Cullinane models)

Monday, December 4, 2017

Logos

Filed under: General — Tags: , , — m759 @ 8:42 pm

See also The Crimson Abyss (March 29, 2017).

Wednesday, October 25, 2017

To the Egress

Filed under: General — Tags: — m759 @ 9:24 pm

The New York Times  at 8:22 PM ET

"Knight Landesman, a longtime publisher of Artforum magazine
and a power broker in the art world, resigned on Wednesday
afternoon, hours after a lawsuit was filed in New York accusing
him of sexually harassing at least nine women in episodes that
stretched back almost a decade."

See as well, in this  journal, Way to the Egress.

The Palo Alto Edge

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

From Stanford — The death on October 9, 2017, of a man who
“always wanted to be at the most cutting of cutting-edge technology.”

Related material from Log24 on April 26, 2017

A sketch, adapted from Girl Scouts of Palo Alto —

Click the sketch for further details.

Monday, July 10, 2017

Under Bleu Cup

Filed under: General — Tags: — m759 @ 10:00 am

Publishers Weekly  on a Nov. 1, 2011, book, Under Blue Cup

"Krauss’s core argument (what she deems a 'crusade')
is that the 'white cube,' which conceptual and installation
artists have deemed obsolete, actually thrives."

For other "core arguments," see Satuday's post "Common Core"
and the Art Space posts "Odd Core" and "Even Core."

Friday, June 16, 2017

Chalkroom Jungle

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

At MASS MoCA, the installation "Chalkroom" quotes a lyric —

Oh beauty in all its forms
funny how hatred can also be a beautiful thing
When it's as sharp as a knife
as hard as a diamond

Perfect

— From "One Beautiful Evening," by Laurie Anderson.

See also the previous post and "Smallest Perfect" in this journal.

Thursday, June 15, 2017

Building Six

Filed under: General — Tags: , , — m759 @ 7:47 pm

Berkshire tales of May 25, 2017 —

See also, in this  journal from May 25 and earlier, posts now tagged
"The Story of Six."

Tuesday, June 13, 2017

Annals of Embedded Space

Filed under: General — Tags: , — m759 @ 12:55 am

Max Maxfield: 'What's Happening in Embedded Space,' April 13, 2017

This  journal on the above date —

Thursday, April 13, 2017

Space

Tags:  — m759 @ 7:00 PM 

See "Smallest Perfect" in this journal.

 

Making Space

— m759 @ 6:00 PM 

The New York Times  online today:

At MoMA, Women at Play in the Fields of Abstraction

In Zoe's fall, we sinnèd all.

Thursday, June 1, 2017

Art Spaces (For Frank Sinatra and Janet Leigh)

Filed under: General — Tags: — m759 @ 12:42 pm

From The New York Times  today —

MoMA’s Makeover Rethinks the Presentation of Art

"The new design calls for more gallery space and a transformed
main lobby, physical changes that, along with the re-examination
of art collections and diversity, represent an effort to open up MoMA
and break down the boundaries defined by its founder, Alfred Barr.

'It’s a rethinking of how we were originally conceived,' Glenn D. Lowry,
the museum’s director, said in an interview at MoMA. 'We had created
a narrative for ourselves that didn’t allow for a more expansive reading
of our own collection, to include generously artists from very different
backgrounds.'"

Next to Icon Parking

Tuesday, May 9, 2017

Art Space at Princeton

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

A recent book on mathematics and art
from Princeton University Press, with a
foreword by Neil deGrasse Tyson —

Not to put too fine a point on it —

From an earlier post

Text and Context

Filed under: General,Geometry — Tags: , — m759 @ 2:11 pm

Some context for the previous post, which was about
a new Art Space  Pinterest board

Sunday, May 7, 2017

Art Space

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

Detail of an image in the previous post

This suggests a review of a post on a work of art by fashion photographer
Peter Lindbergh, made when he was younger and known as "Sultan."

The balls in the foreground relate Sultan's work to my own.

Linguistic backstory —

The art space where the pieces by Talman and by Lindbergh
were displayed is Museum Tinguely in Basel.

As the previous post notes, the etymology of "glamour" (as in
fashion photography) has been linked to "grammar" (as in 
George Steiner's Grammars of Creation ). A sculpture by 
Tinguely (fancifully representing Heidegger) adorns one edition
of Grammars .

Yale University Press, 2001:

Tinguely, "Martin Heidegger,
Philosopher," sculpture, 1988

Tuesday, May 2, 2017

Image Albums

Filed under: General,Geometry — Tags: , , , — m759 @ 1:05 pm

Pinterest boards uploaded to the new m759.net/piwigo

Diamond Theorem 

Diamond Theorem Correlation

Miracle Octad Generator

The Eightfold Cube

Six-Set Geometry

Diamond Theory Cover

Update of May 2 —

Four-Color Decomposition

Binary Galois Spaces

The Galois Tesseract

Update of May 3 —

Desargues via Galois

The Tetrahedral Model

Solomon's Cube

Update of May 8 —

Art Space board created at Pinterest

Friday, April 28, 2017

Art Space

Filed under: General — Tags: — m759 @ 4:35 pm

From "Seize the Dia," a post of April 6, 2013 —

"The artists demanded space
in tune with their aesthetic."

— "The Dia Generation," 
     by Michael Kimmelman

“I wanted space people could be involved in.”

— An artist who reportedly died yesterday

Thursday, April 27, 2017

Partner, Anchor, Decompose

Filed under: General,Geometry — Tags: — m759 @ 12:31 pm

See also a figure from 2 AM ET April 26 

" Partner, anchor, decompose. That's not math.
That's the plot to 'Silence of the Lambs.' "

Greg Gutfeld, September 2014

Wednesday, April 26, 2017

A Tale Unfolded

Filed under: General,Geometry — 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.

Monday, April 24, 2017

The Trials of Device

Filed under: General,Geometry — Tags: , , — m759 @ 3:28 pm

"A blank underlies the trials of device"
— Wallace Stevens, "An Ordinary Evening in New Haven" (1950)

A possible meaning for the phrase "the trials of device" —

See also Log24 posts mentioning a particular device, the pentagram .

For instance —

Wittgenstein's pentagram and 4x4 'counting-pattern'

Related figures

Pentagon with pentagram    

Monday, April 17, 2017

Hatched

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

Related art —

See also the previous post.

Sunday, April 16, 2017

Art Space Paradigm Shift

Filed under: General,Geometry — Tags: , , — m759 @ 1:00 am

This post’s title is from the tags of the previous post

 

The title’s “shift” is in the combined concepts of

Space and Number

From Finite Jest (May 27, 2012):

IMAGE- History of Mathematics in a Nutshell

The books pictured above are From Discrete to Continuous ,
by Katherine Neal, and Geometrical Landscapes , by Amir Alexander.

For some details of the shift, see a Log24 search for Boole vs. Galois.
From a post found in that search —

Benedict Cumberbatch Says
a Journey From Fact to Faith
Is at the Heart of Doctor Strange

io9 , July 29, 2016

” ‘This man comes from a binary universe
where it’s all about logic,’ the actor told us
at San Diego Comic-Con . . . .

‘And there’s a lot of humor in the collision
between Easter [ sic ] mysticism and
Western scientific, sort of logical binary.’ “

[Typo now corrected, except in a comment.]

Saturday, April 15, 2017

Quanta Dating

Filed under: General — Tags: , — m759 @ 3:15 pm

From Quanta Magazine  —

For the Church of Synchronology

See also this  journal on July 17, 2014, and March 28, 2017.

Friday, April 14, 2017

Hudson and Finite Geometry

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

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

The above four-element sets of black subsquares of a 4×4 square array 
are 15 of the 60 Göpel tetrads , and 20 of the 80 Rosenhain tetrads , defined
by R. W. H. T. Hudson in his 1905 classic Kummer's Quartic Surface .

Hudson did not  view these 35 tetrads as planes through the origin in a finite
affine 4-space (or, equivalently, as lines in the corresponding finite projective
3-space).

In order to view them in this way, one can view the tetrads as derived,
via the 15 two-element subsets of a six-element set, from the 16 elements
of the binary Galois affine space pictured above at top left.

This space is formed by taking symmetric-difference (Galois binary)
sums of the 15 two-element subsets, and identifying any resulting four-
element (or, summing three disjoint two-element subsets, six-element)
subsets with their complements.  This process was described in my note
"The 2-subsets of a 6-set are the points of a PG(3,2)" of May 26, 1986.

The space was later described in the following —

IMAGE- Dolgachev and Keum, coordinatization of the 4x4 array in 'Birational Automorphisms of Quartic Hessian Surfaces,' AMS Transactions, 2002

Thursday, April 13, 2017

Space

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

See "Smallest Perfect" in this journal.

Wednesday, April 12, 2017

Contracting the Spielraum

The contraction of the title is from group actions on
the ninefold square  (with the center subsquare fixed)
to group actions on the eightfold cube.

From a post of June 4, 2014

At math.stackexchange.com on March 1-12, 2013:

Is there a geometric realization of the Quaternion group?” —

The above illustration, though neatly drawn, appeared under the
cloak of anonymity.  No source was given for the illustrated group actions.
Possibly they stem from my Log24 posts or notes such as the Jan. 4, 2012,
note on quaternion actions at finitegeometry.org/sc (hence ultimately
from my note “GL(2,3) actions on a cube” of April 5, 1985).

Expanding the Spielraum

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

Cézanne's Greetings.

"Cézanne ignores the laws of classical perspective . . . ."

— Voorhies, James. “Paul Cézanne (1839–1906).”
In Heilbrunn Timeline of Art History .  New York:
The Metropolitan Museum of Art, 2000–. (October 2004)

Some others do not.

This is what I called "the large Desargues configuration
in posts of April 2013 and later.

Tuesday, April 4, 2017

White Cube

Filed under: General — Tags: , , — m759 @ 12:21 pm

Inside the White Cube” —

“We have now reached
a point where we see
not the art but the space first….
An image comes to mind
of a white, ideal space
that, more than any single picture,
may be the archetypal image
of 20th-century art.”

http://www.log24.com/log/pix09/090205-cube2x2x2.gif

“Space: what you
damn well have to see.”

— James Joyce, Ulysses  

Monday, April 3, 2017

Even Core

Filed under: General,Geometry — Tags: , — m759 @ 9:16 pm

4x4x4 gray cube

http://www.log24.com/log/pix11A/110625-CubeHypostases.gif

Odd Core

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

 

3x3x3 Galois cube, gray and white

Saturday, April 1, 2017

Art Space

Filed under: General,Geometry — Tags: — m759 @ 12:20 am

(Continued)

Click image for some backstory.

“Whatever he drew was the platonic ideal
of what a cartoon should look like.”

— Bob Mankoff on Jack Ziegler, who reportedly
     died on Wednesday, March 29, 2017.

See also "Hexagram 64 in Context," March 16, 2017.

Wednesday, March 29, 2017

The Crimson Abyss

"And as the characters in the meme twitch into the abyss
that is the sky, this meme will disappear into whatever
internet abyss swallowed MySpace."

—Staff writer Kamila Czachorowski, Harvard Crimson , March 29

1984

IMAGE- 'Affine Groups on Small Binary Spaces,' illustration

2010

Logo design for Stack Exchange Math by Jin Yang
 

Recent posts now tagged Crimson Abyss suggest
the above logo be viewed in light of a certain page 29

"… as if into a crimson abyss …." —

Update of 9 PM ET March 29, 2017:

Prospero's Children  was first published by HarperCollins,
London, in 1999. A statement by the publisher provides
an instance of the famous "much-needed gap." —

"This is English fantasy at its finest. Prospero’s Children 
steps into the gap that exists between The Lion, the Witch
and the Wardrobe
  and Clive Barker’s Weaveworld , and
is destined to become a modern classic."

Related imagery —

See also "Hexagram 64 in Context" (Log24, March 16, 2017).

Design Abyss

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


http://www.log24.com/images/IChing/hexagram29.gif  
Hexagram 29,
The Abyss (Water)

This post was suggested by an August 6, 2010, post by the designer
(in summer or fall, 2010) of the Stack Exchange math logo (see
the previous Log24 post, Art Space Illustrated) —

http://www.8164.org/☵☲/  .

In that post, the designer quotes the Wilhelm/Baynes I Ching  to explain
his choice of Hexagram 63, Water Over Fire, as a personal icon —

"When water in a kettle hangs over fire, the two elements
stand in relation and thus generate energy (cf. the
production of steam). But the resulting tension demands
caution. If the water boils over, the fire is extinguished
and its energy is lost. If the heat is too great, the water
evaporates into the air. These elements here brought in
to relation and thus generating energy are by nature
hostile to each other. Only the most extreme caution
can prevent damage."

See also this  journal on Walpurgisnacht (April 30), 2010 —

http://www.log24.com/images/IChing/hexagram29.gif

Hexagram 29:
Water

http://www.log24.com/log/pix10A/100430-Commentary.jpg

http://www.log24.com/images/IChing/hexagram30.gif

Hexagram 30:
Fire

"Hates California,
it's cold and it's damp.
"

Image--'The Fire,' by Katherine Neville

A thought from another German-speaking philosopher

"Die Philosophie ist ein Kampf gegen die Verhexung
unsres Verstandes durch die Mittel unserer Sprache."

See also The Crimson 's abyss in today's 4:35 AM post Art Space, Continued.

Art Space Illustrated

Another view of the previous post's art space  —

IMAGE by Cullinane- 'Solomon's Cube' with 64 identical, but variously oriented, subcubes, and six partitions of these 64 subcubes

More generally, see Solomon's Cube in Log24.

See also a remark from Stack Exchange in yesterday's post Backstory,
and the Stack Exchange math logo below, which recalls the above 
cube arrangement from "Affine groups on small binary spaces" (1984).

IMAGE- Current math.stackexchange.com logo and a 1984 figure from 'Notes on Groups and Geometry, 1978-1986'

Art Space, Continued

Filed under: General — Tags: , , — m759 @ 4:35 am

"And as the characters in the meme twitch into the abyss
that is the sky, this meme will disappear into whatever
internet abyss swallowed MySpace."

—Staff writer Kamila Czachorowski, Harvard Crimson  today

From Log24 posts tagged Art Space

From a recent paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
The Universal Kummer Threefold,” by
Qingchun Ren, Steven V Sam, Gus Schrader, and
Bernd Sturmfels —

IMAGE- 'Consider the 6-dimensional vector space over the 2-element field,' from 'The Universal Kummer Threefold'

Two such considerations —

IMAGE- 'American Hustle' and Art Cube

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

Tuesday, March 28, 2017

Bit by Bit

Filed under: General,Geometry — Tags: , , — m759 @ 11:45 am

From Log24, "Cube Bricks 1984" —

An Approach to Symmetric Generation of the Simple Group of Order 168

Also on March 9, 2017 —

For those who prefer graphic  art —

Broken Symmetries  in  Diamond Space  

Backstory

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

Click here to enlarge.  Click the image for the source page.

The "this page" reference is to …

Finite Geometry of the Square and Cube.

Also from March 14, 2017 —

Related material

'Children of the Central Structure,' adapted from 'Children of the Damned'

Sunday, December 6, 2015

Form and Idea

Filed under: General,Geometry — Tags: , , , — m759 @ 3:24 pm

"Those early works are succinct and uncompromising
in how they give shape to the philosophical perplexities
of form and idea…."

J. J. Charlesworth, artnet news, Dec. 16, 2014

"Form" and "idea" are somewhat synonymous, 
as opposed to "form" and "substance." A reading:

IMAGE- 'American Hustle' and Art Cube

Discuss.

Wednesday, April 22, 2015

Purely Aesthetic

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

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

What ‘purely aesthetic’ qualities can we distinguish in such theorems as Euclid’s or Pythagoras’s?

I will not risk more than a few disjointed remarks. In both theorems (and in the theorems, of course, I include the proofs) there is a very high degree of unexpectedness, combined with inevitability and economy. The arguments take so odd and surprising a form; the weapons used seem so childishly simple when compared with the far-reaching results; but there is no escape from the conclusions. There are no complications of detail—one line of attack is enough in each case; and this is true too of the proofs of many much more difficult theorems, the full appreciation of which demands quite a high degree of technical proficiency. We do not want many ‘variations’ in the proof of a mathematical theorem: ‘enumeration of cases’, indeed, is one of the duller forms of mathematical argument. A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way. 

Related material:

Tuesday, February 3, 2015

Expanding the Spielraum

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

A short poem by several authors:

"The role of
the 16 singular points
on the Kummer surface
is now played by
the 64 singular points
on the Kummer threefold."

— From Remark 2.4 on page 9 of
"The Universal Kummer Threefold,"
by Qingchun Ren, Steven V Sam,
Gus Schrader, and Bernd Sturmfels,
http://arxiv.org/abs/1208.1229v3,
August 6, 2012 — June 12, 2013.

See also "Expanded Field" in this journal.

IMAGE- Concepts of Space

Illustration from "Sunday School," July 20, 2014.

Other Log24 background:  Kummer, Spielraum, Art Space.

Tuesday, April 1, 2014

For April 1

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

IMAGE- 'American Hustle' and Art Cube

Or:  Extremely Gray Code

Related material:  Spaces as Hypercubes

Friday, March 7, 2014

Kummer Varieties

Filed under: General,Geometry — Tags: , , — m759 @ 11:20 am

The Dream of the Expanded Field continues

Image-- The Dream of the Expanded Field

From Klein's 1893 Lectures on Mathematics —

"The varieties introduced by Wirtinger may be called Kummer varieties…."
E. Spanier, 1956

From this journal on March 10, 2013 —

From a recent paper on Kummer varieties,
arXiv:1208.1229v3 [math.AG] 12 Jun 2013,
"The Universal Kummer Threefold," by
Qingchun Ren, Steven V Sam, Gus Schrader, and Bernd Sturmfels —

IMAGE- 'Consider the 6-dimensional vector space over the 2-element field,' from 'The Universal Kummer Threefold'

Two such considerations —

IMAGE- 'American Hustle' and Art Cube

IMAGE- Cube for study of I Ching group actions, with Jackie Chan and Nicole Kidman 

Update of 10 PM ET March 7, 2014 —

The following slides by one of the "Kummer Threefold" authors give
some background related to the above 64-point vector space and
to the Weyl group of type E7(E7):

The Cayley reference is to "Algorithm for the characteristics of the
triple ϑ-functions," Journal für die Reine und Angewandte
Mathematik  87 (1879): 165-169. <http://eudml.org/doc/148412>.
To read this in the context of Cayley's other work, see pp. 441-445
of Volume 10 of his Collected Mathematical Papers .

Tuesday, January 21, 2014

Class of 64

Filed under: General — Tags: — m759 @ 7:31 am

NY Times  researcher from this morning’s previous post
tweeted last fall about art forgery and China.

Related material — Art Cube.

IMAGE- 'American Hustle' and Art Cube

Illustration from December 25, 2013.

Wednesday, December 25, 2013

Rotating the Facts

Filed under: General,Geometry — Tags: , , — m759 @ 4:00 am

IMAGE- 'American Hustle' and Art Cube

"She never looked up while her mind rotated the facts,
trying to see them from all sides, trying to piece them
together into theory. All she could think was that she
was flunking an IQ test."

— Steve Martin, An Object of Beauty

"So you should not feel so all alone…"
— Adapted song lyric

Saturday, April 6, 2013

Seize the Dia

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

On this journal:

"he seems to repeat stuff compulsively punctuated with citing others and berating them for note taken nor credit given of his precedence .. but like i said, he more than makes up for that, dredging up and dusting off his all time faves like a super expensive store keeper who moves a piece only once a decade"

— "poetpiet" on Feb. 23, 2013

This suggests moving a piece linked to here 
(in an update; scroll down) a decade ago.

Photo source: http://evanfazio.com/public-relations-lessons-from-the-chess-board/

The New York Times Magazine cover story
a decade ago, on Sunday, April 6, 2003:

"The artists demanded space
in tune with their aesthetic."

— "The Dia Generation,"
     by Michael Kimmelman

Related material:  Occupy Space in this journal.

Sunday, May 22, 2011

Asterisk*

Filed under: General,Geometry — Tags: , — m759 @ 10:30 am

A year ago today—

2:02 AM EDT

   Art Space

Box symbol

Pictorial version
of Hexagram 20,
Contemplation (View)

http://www.log24.com/log/pix10A/100522-Clouseau.gif

Space: what you damn well have to see.
– James Joyce, Ulysses

10:31 AM EDT

Image-- The Case of the Lyche Gate Asterisk

* See Vonnegut.

Wednesday, March 16, 2011

Time and Chance (continued)

Filed under: General,Geometry — Tags: , — m759 @ 8:25 pm

Accidental Time and Space

New York Lottery today— midday 987, evening 522.

Time

The midday 987 may be interpreted as "…nine, eight, seven, …."—

"The countdown as we know it, 10-9-8-u.s.w.,
was invented by Fritz Lang in 1929 for
the Ufa film Die Frau im Mond . He put it into
the launch scene to heighten the suspense.
'It is another of my damned "touches,"' Fritz Lang said."

Gravity's Rainbow

Space

The evening 522 suggests the date 5/22. From that date last year

Art Space (2:02 AM EDT)

Box symbol

Pictorial version
of Hexagram 20,
Contemplation (View)

http://www.log24.com/log/pix10A/100522-Clouseau.gif

Space: what you damn well have to see.
– James Joyce, Ulysses

Sunday, February 20, 2011

Sermon

Filed under: General,Geometry — Tags: — m759 @ 10:30 am

From Galleri MGM in Oslo —

IMAGE- 'PRESS RELEASE' headline

Josefine Lyche
Theme and Variations
26. February – 28. March 2009
Opening reception 26. February 19.00 – 21.00

"Why do we remember the past, but not the future?"
Stephen Hawking, A Brief History of Time, Ch. 9, "The Arrow of Time"

"If you want a vision of the future, imagine a boot stamping on a human face – forever."
George Orwell

Galleri MGM is pleased to present the second solo exhibition by Josefine Lyche (b.1973).

Lyche presents a body of work consisting of sculptures and a wall painting, as well as a series of new paperwork, all using geometrical abstractions and light as a medium. Her work dissolves boundaries between fiction and documentation, depicting how fantasies and dreams collide with and yet help determine the shape of reality.

Theme and variations is a term most commonly used in the music genre as a musical form in which the fundamental musical idea, or theme, is repeated in altered form or accompanied in a different manner.

The exhibition explores geometric shapes and solids and revisits work of artists like Robert Morris and Ellsworth Kelly, giving it a disco treatment of glitter, neon and gloss. The mathematical, science-fiction and new age references incorporated in the works comments on the ambivalent foretelling of utopian hope and dystopian vision of a near, yet unknown future.

The transmission between past and future is shown in the sculpture "The Omega Point" a portal that leads in or out of time and space. …

A connection to today's earlier post, Sunday SchoolThe Oslo Version, from Friday, May 21, 2010.

Lyche's "Omega Point" portal, together with her last name, suggested three posts from the following Saturday morning— which later proved to be the date of Martin Gardner's death—

Art Space, Through the Lyche Gate and The Lyche Gate Asterisk.

For some further religious remarks, see November 9th, 2010— A Theory of Pure Design.

Friday, June 4, 2010

ART WARS continued

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

Today's New York Times

Art Review

Painting Thin Air, Sometimes in Bright Blue

(“Yves Klein: With the Void, Full Powers”
  runs through Sept. 12 at the Hirshhorn.)

Related material—

Search this journal for klein + paris.

See also Art Space (May 22, 2010)—

Box symbol

Pictorial version
of Hexagram 20,
Contemplation (View)

http://www.log24.com/log/pix10A/100522-Clouseau.gif

Saturday, May 22, 2010

Art Space

Filed under: General,Geometry — Tags: , — m759 @ 2:02 am

From an interview with artist Josefine Lyche (see previous post) dated March 11, 2009—

Can you name a writer or book, fiction or theory that has inspired your works?
– Right now I am reading David Foster Wallace, which is great and inspiring. Others would be Aleister Crowley, Terence McKenna, James Joyce, J.L Borges, J.D Ballard, Stanislaw Lem, C. S. Lewis and Plato to mention some. Books, both fiction and theory are a great part of my life and work.

This journal on the date of the interview had a post about a NY Times  story, Paris | A Show About Nothing."

Related images—

 

Box symbol

Pictorial version
of Hexagram 20,
Contemplation (View)

http://www.log24.com/log/pix10A/100522-Clouseau.gif

Space: what you damn well have to see.
– James Joyce, Ulysses

Powered by WordPress