Log24

Sunday, April 16, 2017

Homily

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

See also Plan 9.

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.

Pip

Filed under: General — m759 @ 1:01 pm

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

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

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

See also "Pray to Apollo" in this journal.

A Cinematographer Departs

Filed under: General — Tags: , — m759 @ 2:04 am

In memory of cinematographer Michael Ballhaus, who reportedly
died at 81 in Berlin on Tuesday evening, April 11, the first full day 
of Passover, 2017.

From a New York Times  description of his work —

"The sinuous shot, which shows people parting  
like the Red Sea. . . ." — Margalit Fox tonight

From Log24 on the reported date of Ballhaus's death:

Friday, April 14, 2017

For the Sunshine Girls*

Filed under: General — m759 @ 9:45 pm

Click image to enlarge.

From a 'Göpel Inscape' image search on the evening of Good Friday 2017

* For the title, see "Sunshine Girls" in this journal. 

High Concept

Filed under: General — m759 @ 12:00 pm

The twin-column illustration above is 
adapted from Shakespeare's Birthday 2013.

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.

Making Space

Filed under: General — Tags: — m759 @ 6:00 pm

The New York Times  online today:

At MoMA, Women at Play in the Fields of Abstraction

" The famous flowchart of Modern art's evolution simply doesn't apply
in 'Making Space: Women Artists and Postwar Abstraction.' "

Understated Hollywood

Filed under: General — m759 @ 11:00 am

From The Boston Globe  on Monday, February 27, 2017 —

See also this  journal on the above date — Feb. 27, 2017.

From the Midrash Jazz Quartet

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

Epiphany 2006 —

Midrash

Filed under: General — Tags: — m759 @ 12:01 am

Wednesday, April 12, 2017

Knucklebone

Filed under: General — Tags: — m759 @ 7:22 pm

"The state of the universe, physicists say, is a cosmological
relic—a glass ark with hammered-gold seams, pip trapped inside, god’s
knucklebone, nanosecond high-energy outward burst—kaboom!

and space fills up with proto-stars . . . ."

— "A Natural History of Light," a poem by Marsha de la O,
     The New Yorker , issue of December 12, 2016


"Angel's Bone," by Du Yun, premiered on January 6, 2016 . . . ."

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 11, 2017

Partitioning the Crimson Abyss

Filed under: General — Tags: , — m759 @ 6:00 pm

For the title, see Crimson + Abyss in this journal.

"Ready when you are, C. B."

Hexagram 63, "After Completion"

Monday, April 10, 2017

Bullshit Studies Continued*

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

Yin Yang Yung

* See also earlier posts on Bullshit Studies.

Heidegger for Passover

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

From this  journal on August 7, 2010  (footnotes added today) —

The title of this post, "Rift Designs," is taken from Heidegger.

From a recent New Yorker  review of Absence of Mind  by Marilynne Robinson—

"Robinson is eloquent in her defense of the mind’s prerogatives, but her call for a renewed metaphysics might be better served by rereading Heidegger than by dusting off the Psalms."

Following this advice, we find—

"Propriation1 gathers the rift-design2 of the saying and unfolds it3  in such a way that it becomes the well-joined structure4 of a manifold showing."

— p. 415 of Heidegger's Basic Writings , edited by David Farrell Krell, HarperCollins paperback, 1993

"Das Ereignis versammelt den Aufriß der Sage und entfaltet ihn zum Gefüge des vielfältigen Zeigens." 

— Heidegger, Weg zur Sprache

1. "Mirror-Play of the Fourfold"

2. "Christ descending into the abyss"

3. Barrancas of Cuernavaca

4. Combinatorics, Philosophy, Geometry

Sunday, April 9, 2017

23 for 23 for …

Filed under: General — m759 @ 11:01 pm

James McAvoy —

Relax, Said the Night Man

Filed under: General — m759 @ 10:00 am

Tom Hiddleston as 'The Night Manager'

From "Raiders of the Inarticulate" (March 22, 2017) —

 Shades of green: eau-de-nil

Saturday, April 8, 2017

Eye

Filed under: General — Tags: — m759 @ 7:24 pm

"I guess I found my future through Billy Name’s eye.
I saw his pictures of the Warhol Factory when I was
in college and thought, 'Oh that’s the place to get to.
Everyone is so beautiful and it looks brilliant and
complicated – art, music, film, but most of all a kind
of wild life.' It looked like the future as I imagined it."

The late Glenn O'Brien in The Guardian
     
on November 8, 2014.  O'Brien reportedly
     died at 70 yesterday, Friday (April 7) morning,
     in Manhattan.

"… through Billy Name's eye …."
Then there is Kurt Seligmann's eye

The above-mentioned Billy Name appeared in this journal
in July 2016  in the post "Coterie (for Philip Rieff)." Also
featured in that post was artist Kurt Seligmann.

A Google Search sidebar on Seligmann today:

Synchronology check of this  journal on the above Guardian  date:

Saturday, November 8, 2014

At 11:59*

Filed under: Uncategorized — m759 @ 11:59 PM 

Fantasy and the Buffered Self.”

*For the title, see Enormous Changes.

See also an 11:59 PM ET post on Thursday, April 6, titled
"Where Entertainment Is God (continues)."

Some related entertainment:

I do not recommend any of the above entertainments,
but they do supply some background for the article
"Fantasy and the Buffered Self" (which is  recommended.)

A Perfect Nonentity

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

The title is from Hume:

 "And were all my perceptions removed by death,
and could I neither think, nor feel, nor see, nor love,
nor hate, after the dissolution of my body, I should
be entirely annihilated, nor do I conceive what is
further requisite to make me a perfect nonentity."

— Book I, Part IV, Section vi  of  
    A Treatise of Human Nature

"What is further requisite" — Perhaps  

This four-dot notation ("as") is from a search for Lévi-Strauss in this journal.

See also "That I Am."

Friday, April 7, 2017

Ambiguity

Filed under: General — m759 @ 10:00 pm

Alah   —  עָלָה

Aliyah —  עֲלִיָּה

Olah  —   עֹלָה

Related reading —

"Then a 12-14-day Trans-Siberian train ride to Vladivostok . . . ."

— "My First Halloween After Escaping the Nazis,"
     By Masha Leon, October 29, 2015.

Leon reportedly died in her sleep at 86 in Manhattan on the
morning of Wednesday, April 5, 2017.

Other related reading:

Personal Identity

Filed under: General,Geometry — Tags: , — m759 @ 2:40 pm

From "The Most Notorious Section Phrases," by Sophie G. Garrett
in The Harvard Crimson  on April 5, 2017 —

This passage reminds me of (insert impressive philosophy
that was not in the reading).

This student is just being a show off. We get that they are smart
and well read. Congrats, but please don’t make the rest of the us
look bad in comparison. It should be enough to do the assigned
reading without making connections to Hume’s theory of the self.

Hume on personal identity (the "self")

For my part, when I enter most intimately into what I call myself, I always stumble on some particular perception or other, of heat or cold, light or shade, love or hatred, pain or pleasure. I never can catch myself at any time without a perception, and never can observe any thing but the perception. When my perceptions are removed for any time, as by sound sleep, so long am I insensible of myself, and may truly be said not to exist. And were all my perceptions removed by death, and could I neither think, nor feel, nor see, nor love, nor hate, after the dissolution of my body, I should be entirely annihilated, nor do I conceive what is further requisite to make me a perfect nonentity.
. . . .

I may venture to affirm of the rest of mankind, that they are nothing but a bundle or collection of different perceptions, which succeed each other with an inconceivable rapidity, and are in a perpetual flux and movement. Our eyes cannot turn in their sockets without varying our perceptions. Our thought is still more variable than our sight; and all our other senses and faculties contribute to this change: nor is there any single power of the soul, which remains unalterably the same, perhaps for one moment. The mind is a kind of theatre, where several perceptions successively make their appearance; pass, repass, glide away, and mingle in an infinite variety of postures and situations. There is properly no simplicity in it at one time, nor identity in different, whatever natural propension we may have to imagine that simplicity and identity. The comparison of the theatre must not mislead us. They are the successive perceptions only, that constitute the mind; nor have we the most distant notion of the place where these scenes are represented, or of the materials of which it is composed.

Related material —
Imago Dei  in this journal.

The Ring of the Diamond Theorem

Backstory —
The previous post
and The Crimson Abyss.

Tagged

Filed under: General — m759 @ 1:37 pm

In an update yesterday by Peter Woit to his post
on a recent paper about the Riemann Hypothesis (RH) —

" Nature Physics highlights the Bender et al. paper
with 'Carl Bender and colleagues have paved the way
to a possible solution [of the RH ] by exploiting a
connection with physics.' Some wag there has categorized
this work as work with subject term 'interstellar medium.' "

Math.stackexchange.com

Not the answer you're looking for?

Browse other questions tagged 

or ask your own question.

Thursday, April 6, 2017

Where Entertainment Is God …

Filed under: General — Tags: — m759 @ 11:59 pm

Continues.

Pushing the Envelope

Wednesday, April 5, 2017

Autistic Enchantment Continues

Filed under: General — Tags: — m759 @ 8:08 pm

See also Autistic Enchantment in this journal.

Dem Bones

Filed under: General — Tags: , , — m759 @ 12:15 pm

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

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

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

Accounting for Taste —

Faye Dunaway and Warren Beatty at the Oscars:

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

See also Prisoner + Bones in this  journal.

Tuesday, April 4, 2017

Night at the Museum

Filed under: General — Tags: — m759 @ 10:36 pm

"Do you know what he called this place? A museum."

Update of 11:06 PM ET —
A search for background on the "Holiday" screenplay leads, 
via a useful historical website, to

Other Hollywood material —

Hail, Caesar!

Plan 9 Continues

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

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

— Bill Murray in "Ed Wood"
 

For The Church of Plan 9

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

Making Science Come Alive

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

From a post on March 13, 2017


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

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

Test

Filed under: General — m759 @ 1:01 pm

See also, in this  journal, St. Cyprian's Day last year.

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

Step Two

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

"I think you should be more explicit here in step two.

— Caption to a cartoon by Sidney Harris,
American Scientist , November-December 1977

"If any perfection is indicated in the work
it is recognized by the artist as truly miraculous
so he feels that he can take no credit for its
sudden appearance."

Agnes Martin, 1973, "On the Perfection Underlying Life"

Art News

Filed under: General — Tags: — m759 @ 12:16 pm

Related Taos news —

This journal in 2004 on December 16 and December 17.

Sunday, April 2, 2017

Dead Reckoning

Filed under: General — m759 @ 10:20 am

From The New York Times  online yesterday evening:

“You need firm ground to stand on,”
Mr. Bolles told an interviewer in 2000.
“From there you can deal with the change.”

Mr. Bolles, who reportedly died Friday (March 31, 2017),
was the author of What Color Is Your Parachute? .

See also a Log24 search for Lyche + Rainbow.

Related material — A poster for "Dead Reckoning" (1947).

Saturday, April 1, 2017

ART WARS Koan*

Filed under: General — m759 @ 9:09 pm

http://www.log24.com/log/pix11/110301-Inception256w.jpg

Show me all  the blueprints.”
— Howard Hughes, according to Hollywood

From an old Dick Tracy strip —

This journal in April 2006

The image “http://www.log24.com/log/pix06/060414-Finis.jpg” cannot be displayed, because it contains errors.

Cleaning out her studio, Oslo artist Josefine Lyche 
has found some frames from an old art-school audition video —

(Click to enlarge.)

      * Search for "st.+peter"+eve+adam+"first+words"

Beyond All Recognition

Filed under: General,Geometry — m759 @ 10:45 am

Prequel —

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

Note that Yale's die design and use of the phrase "rigid motions"
differ from those in the webpage "Solomon's Cube."

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.

Friday, March 31, 2017

Pushing the Envelope

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

See also Red Dragon in this journal.

From a mah-jongg site:

Red Dragon
Chinese Character: “Chung”

"The true name of this tile is represented by the Chinese character 'Chung' which
means centre or middle. The 'Chung' character represents . . . an arrow striking
the centre of a target. The meaning of this tile is therefore – success or achievement."

Into a Dreamland

Filed under: General — m759 @ 1:01 pm

See also Weaveworld  in this journal.

Poles Apart

Filed under: General — m759 @ 11:23 am

Ridgepole, not Tentpole.

Women’s History Month

Filed under: General — m759 @ 11:00 am

http://www.log24.com/log/pix11/110301-Inception256w.jpg

Show me all  the blueprints.”
— Howard Hughes, according to Hollywood

Thursday, March 30, 2017

2010 in 1984

Filed under: General — m759 @ 9:29 pm

Click for a more realistic view of these years.

The Internet Abyss

Filed under: General — Tags: — m759 @ 3:09 pm

Suggested by the previous post, The Crimson Abyss

“Wer mit Ungeheuern kämpft, mag zusehn, dass er nicht dabei
zum Ungeheuer wird. Und wenn du lange in einen Abgrund blickst,
blickt der Abgrund auch in dich hinein.”

“He who fights with monsters should look to it that he himself
does not become a monster. And if you gaze long into an abyss,
the abyss also gazes into you.”

—  Nietzsche, Beyond Good and Evil , Aphorism 146

From the Internet Abyss on Red October Day, October 25, 2010 —

An image reproduced in this  journal on that same day

Image-- 'Then a miracle occurs' cartoon

Cartoon by S.Harris

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'

Monday, March 27, 2017

For Peculiar Children:

Filed under: General — Tags: — m759 @ 10:18 pm

A Ghost Ship —

Related tales for the Church of Synchronology —
See excerpts from an RSS feed this evening.

Earlier related material — Peregrine in this journal.

Groundhog Day and After

Filed under: General — m759 @ 3:13 pm

A reader suspects Coretta Scott King letter is a forgery

See also "Damning" in this journal on Feb. 8, 2017.

Sunday, March 26, 2017

Seagram Studies

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

From a search in this journal for Seagram + Tradition

Related art:  Saturday afternoon's Twin Pillars of Symmetry.

Four-Year* Date

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

"Eigenvalues. Fixed points. Stable equilibria.
Mathematicians like things that stay put.
And if they can't stay put, the objects of study
should at least repeat themselves on a regular basis. . . ."

— Barry Cipra, "A Moveable Feast," SIAM News , Jan. 14, 2006

Tuesday, March 18, 2014

Class of 64 continues…

Uncategorized — m759 @ 12:00 PM 

Mathematician Norbert Wiener reportedly
died on this date in 1964.

“Mathematics is too arduous and uninviting a field
to appeal to those to whom it does not give great rewards.
These rewards are of exactly the same character as
those of the artist. To see a difficult uncompromising material
take living shape and meaning is to be Pygmalion,
whether the material is stone or hard, stonelike logic."
. . . .

Wednesday, March 18, 2015

Play Is Not Playing Around

Uncategorized — m759 @ 1:00 PM

(A saying of Friedrich Fröbel)


. . . .

Friday, March 18, 2016

Southwestern Noir

Uncategorized — m759 @ 2:56 PM 

Kyle Smith on April 15, 2015, in the New York Post —

"The ludicrous action thriller 'Beyond the Reach'
fails to achieve the Southwestern noir potency
of 'No Country for Old Men,' but there’s no denying
it brings to mind another Southwestern classic
about malicious pursuit: the Road Runner cartoons."
. . . .

Saturday, March 18, 2017

Back to the Past

Uncategorized — Tags:  — m759 @ 7:35 PM 

"Old men ought to be explorers" — T. S. Eliot

. . . .

* For a full  four years, see also March 18, 2013.

Midnight Special …

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

 Continued .

Saturday, March 25, 2017

Security Complex

Filed under: General — m759 @ 9:36 pm

"All on a Saturday night" — Johnny Thunder, 1962

'Loop De Loop,' Johnny Thunder, Diamond Records, 1962

Twin Pillars of Symmetry

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

The phrase "twin pillars" in a New York Times  Fashion & Style
article today suggests a look at another pair of pillars —

This pair, from the realm of memory, history, and geometry disparaged
by the late painter Mark Rothko, might be viewed by Rothko
as  "parodies of ideas (which are ghosts)." (See the previous post.)

For a relationship between a 3-dimensional simplex and the {4, 3, 3},
see my note from May 21, 2014, on the tetrahedron and the tesseract.

Like Decorations in a Cartoon Graveyard

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

Continued from April 11, 2016, and from

A tribute to Rothko suggested by the previous post

For the idea  of Rothko's obstacles, see Hexagram 39 in this journal.

Friday, March 24, 2017

The Southwest Furthers

Filed under: General — Tags: — m759 @ 9:13 pm

The New York Times  reports a death on Saturday, March 18 —

From posts tagged SXSW 2017 —

Note for a Vast Waste Land

Filed under: General — m759 @ 2:21 pm

"Minow is the daughter of former Federal Communications Commission chairman 
Newton Minow, and his wife, Josephine (Baskin) Minow. She graduated from 
New Trier Township High School in 1972." — Wikipedia

That corpse you planted last year in your garden
  Has it begun to sprout? Will it bloom this year?
  Or has the sudden frost disturbed its bed?" 

A Large Superset

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

From a post of Feb. 24

From a search for "Preparation" in this journal (see previous post) —

"It is almost inevitable to compare this book to Borevich-Shafarevich
Number Theory . The latter is a fantastic book which covers a large
superset of the material in Cohn's book. Borevich-Shafarevich is,
however, a much more demanding read and it is out of print.
For gentle self-study (and perhaps as a preparation to later read
Borevich-Shafarevich), Cohn's book is a fine read."

"I meant a larger map." — Number Six in "The Prisoner" (1967)

Swimmer in the Ocean of Night

Filed under: General — Tags: , — m759 @ 3:17 am

For Scarlett 

From a search for "Preparation" in this journal —

"In a nutshell, the book serves as an introduction to
Gauss' theory of quadratic forms and their composition laws
(the cornerstone of his Disquisitiones Arithmeticae ) from the
modern point of view (ideals in quadratic number fields)."

From a film in which Scarlett portrays a goddess —

Madness related to several recent posts

Then, with an unheard splash which sent from the silver water to the shore a line of ripples echoed in fear by my heart, a swimming thing emerged beyond the breakers. The figure may have been that of a dog, a human being, or something more strange. It could not have known that I watched—perhaps it did not care—but like a distorted fish it swam across the mirrored stars and dived beneath the surface. After a moment it came up again, and this time, since it was closer, I saw that it was carrying something across its shoulder. I knew, then, that it could be no animal, and that it was a man or something like a man, which came toward the land from a dark ocean. But it swam with a horrible ease.
     As I watched, dread-filled and passive, with the fixed stare of one who awaits death in another yet knows he cannot avert it, the swimmer approached the shore—though too far down the southward beach for me to discern its outlines or features. Obscurely loping, with sparks of moonlit foam scattered by its quick gait, it emerged and was lost among the inland dunes.

— From "The Night Ocean," by H. P. Lovecraft
     and R. H. Barlow

Related news

"When hard-liners seized power in Moscow in August 1991
and imprisoned Mr. Gorbachev in his vacation house on the
Black Sea, Mr. Chernyaev, a guest there and a powerful swimmer,
offered to smuggle out a note by swimming to a beach more than
three miles away. Uncertain where he could take the note, they
dropped the plan. The coup quickly failed in any case."

Thursday, March 23, 2017

More Harvard Ignorance

Filed under: General — Tags: — m759 @ 6:42 pm

"… the leftist war on truth, the never-ending campaign
to recast objective fact as subjective and open to question."

— Kyle Smith in The New Criterion  on March 18

"A sort of flint stone" —

See also the above six-part image in the previous post.

Yabba Dabba Doo.

Best Frame

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

From yesterday's post "The Story of Six" —

"… death ultimately provides a frame
for the magnificent picture that is life."

Publisher's Weekly , summarizing the
1987 fable Numberland .

Related news —

From the online Harvard Crimson  today …

Related images —

Wednesday, March 22, 2017

The Story of Six

Filed under: General,Geometry — Tags: , , — m759 @ 8:01 pm

On a psychotherapist who died at 86 on Monday —

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

The New York Times  online this evening
 


 

From Publishers Weekly

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

Copyright 1987 Reed Business Information, Inc.

See also The Prisoner in this journal.

Pulp Fiction Incarnate

Filed under: General — m759 @ 2:20 pm

From Log24 earlier —

More recently, an image from the above March 18 VUDU date —

'Loop De Loop,' Johnny Thunder, Diamond Records, 1962

So Set ’Em Up, Jo

Filed under: General — m759 @ 1:40 pm

“Danes have been called the happiest people.
I wonder how they measure this.”

Copenhagen designer in today's online New York Times .
A version of this article is to appear in print on March 26, 2017,
in T Magazine  with the headline: "Gray Matters."

See also last night's quarter-to-three post as well as
the webpage "Grids, You Say?" by Norwegian artist Josefine Lyche.

Raiders of the Inarticulate

Filed under: General — m759 @ 1:01 pm

 Shades of green: eau-de-nil

Harvard Lovecraft

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

The review quoted in the previous post continues . . .

"Blue’s book is an attempt to untangle the mystery of her demise,
from the safe remove of Harvard Yard . . . ."

Another attempted untanglement, from today's Harvard Crimson —

Mystery Woman

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

From a book review quoted here in yesterday’s post
of 12:41 PM ET, “Special Topics” —

“That teacher, Hannah Schneider, has the magnetism of
Miss Jean Brodie and the film-noir mystique of Lauren Bacall.
When Blue meets her, in a ‘Hitchcock cameo,’ by the frozen-food
section at a grocery store, she falls under her spell. ‘She had an
elegant sort of romantic, bone-sculpted face, one that took well to
both shadows and light,’ Blue recalls. ‘Most extraordinary though
was the air of a Chateau Marmont bungalow about her, a sense
of RKO, which I’d never before witnessed in person.’ Hannah
teaches a course on cinema in a room lined with posters . . . .

From a Facebook page related to the death yesterday morning at
Webster University of the teacher of a course on cinema —

“I need a photo opportunity . . . .” — Paul Simon

The title of the film in the cover photo above is not without relevance.

Tuesday, March 21, 2017

Requiescat in Pace

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

The Chicago Tribune  today —

H. Wilbert Norton, college president
and Christian missionary, dies

Norton reportedly died at 102 on Feb. 20, 2017.

This evening's previous post linked the death dates of two
academics to two Log24 posts that both contained the
following image —

For some backstory, see the Log24 posts from the date
of Norton's reported death, February 20.

Love and Death in Academia

Filed under: General — Tags: — m759 @ 7:20 pm

For tales of the above two professors getting married
(but not to each other) see their obituaries:  Deutsch and Dehmelt.

See also this journal on the above two dates March 13 and March 7.

Res Ipsa

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

From The Poetic Quotidian, a journal of quotations—

See also, in this journal, New Haven + Grid.

The Ninefold Square

Special Topics

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

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

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

— From the 1983 novel Broken Symmetries  
     by Paul Preuss 

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

From this journal on that date

Monday, March 20, 2017

December 1987 at Yale

Filed under: General — m759 @ 9:29 pm

"I was at the time a Yale English major (we read, appreciated,
and discussed the meaning of literature) sunk in the toxic quagmire
of the one and only course I ever took in the literature department
(where authorial intent was ignored and every 'text' was considered
solely on how comfortably it nestled within the shackles of Marxism)."

"For decades de Man had been an avatar not just of leftist politics
but also of the leftist war on truth, the never-ending campaign
to recast objective fact as subjective and open to question."

Kyle Smith in The New Criterion  on March 18

See as well other posts mentioning Kyle Smith in this  journal.

Silvers’s Cartoon Graveyard

Filed under: General — Tags: — m759 @ 5:05 pm

Rothko by Levine, December 1978

"Some cartoon graveyards 
  are better than others.
"

Rothko 101

Filed under: General,Geometry — m759 @ 1:44 pm

See also Memory, History, Geometry.

Sunday, March 19, 2017

For the Church of Synchronology*

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

"… and all I  got was this lousy sweatshirt" —

Some posts related to the above Rasmus Hungnes exhibition 
opening date — Feb. 10, 2017 — are now tagged Bewitchment.

* See Synchronology in this journal.

Gravedigger’s Handbook

Filed under: General — m759 @ 12:00 pm

In memory of Jimmy Breslin, who reportedly died today at 88 —

From "Dimensions," (Log24, Feb. 15, 2015) —

IMAGE- 'When Death tells a story, you really have to listen.'

Black monolith in death-and-rebirth sequence from '2001: A Space Odyssey'

"Hello  darkness,  my  old  friend.
I’ve  come  to  talk  with  you  again."

Norwegian Sermon

Filed under: General — m759 @ 11:30 am

"And the Führer digs for trinkets in the desert."

See also the previous post.

Raiders of the Lost Blocks

Filed under: General — m759 @ 10:30 am

See also "Two Blocks Short of a Design."

Delos Incorporated* Sunday School

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

The 3x3 square

Click image for a search.

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

Saturday, March 18, 2017

Back to the Past

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

"Old men ought to be explorers" — T. S. Eliot

"All on a Saturday night" — Johnny Thunder, 1962

'Loop De Loop,' Johnny Thunder, Diamond Records, 1962

Update of 8:25 PM ET on March 18 —

"Analysis." — Dr. Robert Ford in "Westworld"

"Master theorist and conceptual genius."

— Jon Pareles, front page, online New York Times   tonight

News Search

Filed under: General — Tags: — m759 @ 12:30 pm

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

Gamers

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

A search for Gamers in this journal yields

The image “http://www.log24.com/log/pix06A/061019-Tombstones.jpg” cannot be displayed, because it contains errors.

This is not unrelated to the title of a 2008 
book by Jeremy Gray:

Plato's Ghost:
The Modernist Transformation
of Mathematics
.

Friday, March 17, 2017

To Coin a Phrase

(A sequel to the previous post, Narrative for Westworld)

"That corpse you planted last year . . . ." — T. S.  Eliot

Circle and Square at the Court of King Minos

Harmonic analysis based on the circle involves the
circular  functions.  Dyadic  harmonic analysis involves

For some related history, see (for instance) E. M. Stein
on square functions in a 1982 AMS Bulletin  article.

Narrative for Westworld

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

“That corpse you planted
          last year in your garden,
  Has it begun to sprout?
          Will it bloom this year?  
  Or has the sudden frost
          disturbed its bed?”

— T. S. Eliot, “The Waste Land

Coxeter exhuming Geometry

Ball and Coxeter, 'Mathematical Recreations,' Twelfth Edition

Click the book for a video.

Thursday, March 16, 2017

Gaming

Filed under: General — Tags: — m759 @ 11:03 pm

Taking place from March 16 – 18, 2017
in the Austin Convention Center . . . .

See also the previous two posts.

Product

Filed under: General — Tags: — m759 @ 10:45 pm

"Human perception is a saga of created reality."

— Don DeLillo, Point Omega

See "Important Product" in this journal and the previous post.

Hexagram 64 in Context

Filed under: General,Geometry — Tags: — m759 @ 10:22 pm

"Always with a little humor." — Dr. Yen Lo

Harmonic A

Filed under: General — Tags: — m759 @ 9:25 pm

"Analysis." — Dr. Robert Ford in "Westworld"

“Bulk Apperception”

Filed under: General — Tags: , — m759 @ 4:01 pm

"By groping toward the light we are made to realize 
how deep the darkness is around us."

— Arthur Koestler, The Call Girls: A Tragi-Comedy 
Random House, 1973, page 118

"Dear boys — We’re going to have some fun, aren’t we?"

— Maeve in "Westworld," Season 1, Episode 6,
     after her "bulk apperception" has been upgraded
     to the maximum.

"Bulk apperception" is defined in the script as "basically,
overall intelligence."  The phrase is apparently unique to "Westworld."

These two words do, however, nearly  occur together in
at least one book — Andrew Feffer's The Chicago Pragmatists
and American Progressivism
:

Iacta Est

Filed under: General — Tags: — m759 @ 2:30 pm

"Though realism is excellent rhetoric, maybe the best,
in a purely technical or instrumental sense,
that cannot be an adequate reason to accept it
as a serious intellectual position. In its tropes of
Death and Furniture we see a rhetoric  that refuses
to acknowledge its own existence; a politics  that
can claim a critical-radical credibility only by
the selective use of its opponents' analytic tools;
and a theology  which is deeply conservative and
seeks nothing less than the death of disruptive,
disturbing inquiry. While tedium, good taste, political
and moral sensibility will properly determine what
sorts of given realities are thought worthy of inquiry,
those considerations are no grounds for promoting
a realist ontology for social science, nor any other
science, nor for rejecting relativism. On the contrary,
relativism is social science par excellence . . . ."

Loughborough University

— Edwards, D., Ashmore, M., and Potter, J. (1995),
"Death and furniture: The rhetoric, politics and theology
of bottom line arguments against relativism," 
History of the Human Sciences , 8, 25-49.

Related material:

Platonic  realism in this journal, yesterday's post Ripples, and

Gravity's Shadow , 2004 —

Gravity's Ghost , 2010 —

See also an "Inception"-related object —

Wednesday, March 15, 2017

Ripples

Filed under: General — Tags: — m759 @ 3:25 pm

A Scottish physicist credited with key experimental work
in the sensing of space-time ripples has died, today's
online New York Times  reports.

From a BBC obituary online on Wed., March 8, 2017 —

An unconventional R.I.P. from this journal on March 7,
the reported date of the ripple-seeker's death —

"The supervisory read-only memory (SROM)
in question is a region of proprietary code
that runs when the chip starts up,
and in privileged mode."

— Elliot Williams at Hackaday , March 4, 2017,
     "Reading the Unreadable SROM"

Some R.I.P. backstory from a recent film, "Passengers" —

DECK TWO – LIBRARY – DAY

Aurora sits at a library workstation . . .

AURORA

What about research articles, any kind of
technical documents?

WORKSTATION

Hibernation technology is proprietary.
The following articles deal with the subject
on a theoretical level. 

For a "theoretical level" I prefer, see a passage quoted in
the above March 7 Log24 post, "Hackaday Story" —

According to Orphic myth —

  " You will find to the left of the House of Hades
    a spring,
  And by the side thereof standing
    a white cypress.
  To this spring approach not near.
  But you shall find another,
    from the lake of Memory
  Cold water flowing forth, and there are
    guardians before it.
  Say, 'I am a child of Earth and starry Heaven;
  But my race is of Heaven alone.
    This you know yourselves.
  But I am parched with thirst and I perish.
    Give me quickly
  The cold water flowing forth
    from the lake of Memory.' "

See as well today's previous post.

Middle March:

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

The Key to All Mythologies  in a Cartoon Graveyard

This is a sequel to yesterday's post Review, which
suggested a look at Lévi-Strauss's The Raw and The Cooked  
in Derrida's “Structure, Sign, and Play," and then a look at the

Financial Times  of February 26, 2010

"The metaphor for metamorphosis no keys unlock."

Steven H. Cullinane, November 7, 1986

Tuesday, March 14, 2017

Review

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

In Adam’s Fall / We Sinnèd All

Filed under: General — Tags: , — m759 @ 11:18 am

Backstory for Westworld —

"Don't want to end up a cartoon in a cartoon graveyard."

Backstories

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

"Backstories do more than amuse guests.
They anchor the hosts.
It's their cornerstone.
The rest of their identity is built around it, layer by layer."

— Elsie Hughes in "Westworld," Season 1, Episode 3,
     "The Stray," at 30:09

See also cornerstone in the Bible.

Dr. Robert Ford (Anthony Hopkins) earlier in that same episode —

Westworld S1E3 23:15- Dr. Ford on fiction

Monday, March 13, 2017

Pragmatism at the Church of the Transformers*

Filed under: General — Tags: — m759 @ 9:17 pm

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

Click the Auto Body image for some backstory.

* For the church, see Transformers in this journal.

Gray Space

Filed under: General — Tags: — m759 @ 8:35 pm


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

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

Underground Comix

Filed under: General — Tags: — m759 @ 12:45 pm

Continued from last night

From the American Mathematical Society, a news item
dated Thursday, March 9, 2017 —

Remarks by Schwartz quoted here on March 7—

Sunday, March 12, 2017

… And Hell Followed With Him

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

Continued from Sunday,  March 5 .  

According to this evening's New York Times , that was 
the date of death for underground comix creator Jay Lynch —

From Log24 on Sunday, March 5, 2017

A Hitch in Hell

Filed under: Uncategorized — m759 @ 5:55 PM 

The New York Times  today on a Feb. 24 death —

"Mr. Tenney was released when Japan surrendered
in August 1945, days after America dropped atomic
bombs on Hiroshima and on Nagasaki, a city across
the bay from the prison camp where he was held.
. . . .

Mr. Tenney recounted his wartime experiences in
a memoir, My Hitch in Hell , published in 1995."

. . . .

See as well a sample of Lynch's work from 2015:

Dialogue

Filed under: General — Tags: — m759 @ 4:40 pm

A Yale Law professor on Saturday, March 4, 2017 —

"Donald Trump is Shiva the Destroyer."

Related dialogue from the new film "Assassin's Creed"—

Marion Cotillard— You've thought of everything.
Jeremy Irons— Not quite. My speech. It could do
                          with one of your elegant openings.
Marion Cotillard— "Now I've become death,
                                 the destroyer of worlds."
Jeremy Irons—Not sure that I could make that work.

Raise High the Ridgepole, Architects*

Filed under: General — m759 @ 2:40 pm

A post suggested by remarks of J. D. Salinger in 
The New Yorker  of November 19, 1955 —

Wikipedia:  Taiji (philosophy)

Etymology

The word 太極 comes from I Ching : "易有太極,是生兩儀,兩儀生四象,四象生八卦,八卦定吉凶,吉凶生大業。"

Taiji  (太極) is a compound of tai   "great; grand; supreme; extreme; very; too" (a superlative variant of da   "big; large; great; very") and ji   "pole; roof ridge; highest/utmost point; extreme; earth's pole; reach the end; attain; exhaust". In analogy with the figurative meanings of English pole, Chinese ji  極 "ridgepole" can mean "geographical pole; direction" (e.g., siji  四極 "four corners of the earth; world's end"), "magnetic pole" (Beiji  北極 "North Pole" or yinji  陰極 "negative pole; cathode"), or "celestial pole" (baji  八極 "farthest points of the universe; remotest place"). Combining the two words, 太極 means "the source, the beginning of the world".

Common English translations of the cosmological Taiji  are the "Supreme Ultimate" (Le Blanc 1985, Zhang and Ryden 2002) or "Great Ultimate" (Chen 1989, Robinet 2008); but other versions are the "Supreme Pole" (Needham and Ronan 1978), "Great Absolute", or "Supreme Polarity" (Adler 1999).

See also Polarity in this journal.

* A phrase adapted, via Salinger,
from a poem by Sappho

Ἴψοι δὴ τὸ μέλαθρον,
     Υ᾽μήναον
ἀέρρετε τέκτονεσ ἄνδρεσ,
     Υ᾽μήναον
γάμβροσ ἔρχεται ἶσοσ Ά᾽ρευϊ,
     [Υ᾽μήναον]
ανδροσ μεγάλο πόλυ μείζων
     [Υ᾽μήναον]

Saturday, March 11, 2017

Preparation 🞼

Filed under: General — m759 @ 9:33 pm

🞼 See the title in this journal.

Atque Vale

Filed under: General — Tags: — m759 @ 1:28 pm

Jeremy Irons and the Apple of Eden —

Jeremy Gray, Valediction —

See also this journal on Thursday, 11 September, 2014.

Transformer Group*

Filed under: General — m759 @ 12:45 pm

"Before time began, there was the Cube." — Transformers  (2007)

Plot summary — "An ancient struggle between two Cybertronian races,
the heroic Autobots and the evil Decepticons, comes to Earth, with
a clue to the ultimate power held by a teenager."

* A post suggested by J. D. Salinger's phrase "a fresh impetus"
  in "Raise High the Roof Beam, Carpenters" (1955)

Friday, March 10, 2017

The Transformers

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

"The transformed urban interior is the spatial organisation of
an achiever, one who has crossed the class divide and who uses
space to express his membership of, not aspirations towards, 
an ascendant class in our society: the class of those people who 
earn their living by transformation— as opposed to the mere
reproduction— of symbols, such as writers, designers, and
academics"

The Social Logic of Space ,
     by Bill Hillier and Julienne Hanson,
     Cambridge University Press, 1984

For another perspective on the achievers, see The Deceivers .

Related material —

Exhibit A:

Exhibit B:

Edwin Schlossberg, 'Still Changes Through Structure' text piece

Exhibit C:

Transformers

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

Or:  Y  for Yale  continued

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

See also Transformers in this journal and Y for Yale.

Highbeam Woman

Filed under: General — Tags: — m759 @ 2:40 am

See as well the previous post.

Thursday, March 9, 2017

Yale Architectural Figure

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

Edwin Schlossberg, 'Still Changes Through Structure' text piece

See also Log24 posts related to "Go Set a Structure"
as well as "New Haven" + Grid.

Gr-r-reat Again

Filed under: General — m759 @ 2:02 pm

One Eighth

Filed under: General,Geometry — Tags: — m759 @ 1:16 pm

From Wikipedia's Iceberg Theory

Related material: 

The Eightfold Cube and The Quantum Identity

See also the previous post.

Wednesday, March 8, 2017

Inscapes

Filed under: General,Geometry — Tags: — m759 @ 6:42 pm

"The particulars of attention,
whether subjective or objective,
are unshackled through form,
and offered as a relational matrix …."

— Kent Johnson in a 1993 essay

Illustration

Commentary

The 16 Dirac matrices form six anticommuting sets of five matrices each (Arfken 1985, p. 214):

1. alpha_1alpha_2alpha_3alpha_4alpha_5,

2. y_1y_2y_3y_4y_5,

3. delta_1delta_2delta_3rho_1rho_2,

4. alpha_1y_1delta_1sigma_2sigma_3,

5. alpha_2y_2delta_2sigma_1sigma_3,

6. alpha_3y_3delta_3sigma_1sigma_2.

SEE ALSO:  Pauli Matrices

REFERENCES:

Arfken, G. Mathematical Methods for Physicists, 3rd ed.  Orlando, FL: Academic Press, pp. 211-217, 1985.

Berestetskii, V. B.; Lifshitz, E. M.; and Pitaevskii, L. P. "Algebra of Dirac Matrices." §22 in Quantum Electrodynamics, 2nd ed.  Oxford, England: Pergamon Press, pp. 80-84, 1982.

Bethe, H. A. and Salpeter, E. Quantum Mechanics of One- and Two-Electron Atoms.  New York: Plenum, pp. 47-48, 1977.

Bjorken, J. D. and Drell, S. D. Relativistic Quantum Mechanics.  New York: McGraw-Hill, 1964.

Dirac, P. A. M. Principles of Quantum Mechanics, 4th ed.  Oxford, England: Oxford University Press, 1982.

Goldstein, H. Classical Mechanics, 2nd ed.  Reading, MA: Addison-Wesley, p. 580, 1980.

Good, R. H. Jr. "Properties of Dirac Matrices." Rev. Mod. Phys. 27, 187-211, 1955.

Referenced on Wolfram|Alpha:  Dirac Matrices

CITE THIS AS:

Weisstein, Eric W.  "Dirac Matrices."

From MathWorld— A Wolfram Web Resource. 
http://mathworld.wolfram.com/DiracMatrices.html

The Matrix Hypothesis

Filed under: General — Tags: , — m759 @ 9:20 am

"And so both of these bizarre events put one in mind of
a simple but arresting thesis: that we are  living in the Matrix,
and something has gone wrong with the controllers. . . .
The people or machines or aliens who are supposed to be
running our lives are having some kind of breakdown.
There’s a glitch, and we are in it.

Once this insight is offered, it must be said, everything  else
begins to fall in order."

Adam Gopnik in The New Yorker , Feb. 27, 2017 

More recently

Tuesday, March 7, 2017

Signature Backdrop

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

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

The New York Times  this evening on a Sunday death

Commentary

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

— Richard Evan Schwartz

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

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