Log24

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 — Tags: — 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

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