Log24

Monday, October 28, 2024

Illuminating the Void

Filed under: General — Tags: — m759 @ 10:49 am

The Yves Klein art in last night's "Obscure Answer" post suggests a search
for "Klein Blue" in this journal. That search yields — among other things —

Obscure Answer

Filed under: General — Tags: — m759 @ 2:28 am

From a post of July 2, 2007

A figure like Ecclesiast/
Rugged and luminous,
 chants in the dark/
A text that is an answer,
although obscure.

— Wallace Stevens,
"An Ordinary Evening
in New Haven"

Not so luminous . . .

A related text  —

The source —

 

 

 

Tuesday, November 19, 2013

Quad*

Filed under: General,Geometry — Tags: , , — m759 @ 6:29 am

IMAGE- The Klein Four-Group, 'Vierergruppe': the group's four elements in four colors. Blue, red, green arrows represent pairs of transpositions, and the four black points, viewed as stationary, represent the identity.

* Update of 8 PM Nov. 19:
   The title refers to a work by Beckett.
  "There is nothing outside itself that Quad
   might be about." — Sue Wilson.
   The Klein group is not so limited.

Saturday, November 10, 2012

Descartes Field of Dreams

Filed under: General,Geometry — Tags: , , — m759 @ 2:01 pm

(A prequel to Galois Field of Dreams)

The opening of Descartes' Dream ,
by Philip J. Davis and Reuben Hersh—

"The modern world,
our world of triumphant rationality,
began on November 10, 1619,
with a revelation and a nightmare."

For a revelation, see Battlefield Geometry.

For a nightmare, see Joyce's Nightmare.

Some later work of Descartes—

From "What Descartes knew of mathematics in 1628,"
by David Rabouin, CNRS-Univ. Paris Diderot,
Historia Mathematica , Volume 37, Issue 3,
Contexts, emergence and issues of Cartesian geometry,
August 2010, pages 428–459 —

Fig. 5. How to represent the difference between white, blue, and red
according to Rule XII [from Descartes, 1701, p. 34].

A translation —

The 4×4 array of Descartes appears also in the Battlefield Geometry posts.
For its relevance to Galois's  field of dreams, see (for instance) block designs.

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

Thursday, July 23, 2009

Thursday July 23, 2009

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

A Tangled Tale

Proposed task for a quantum computer:

"Using Twistor Theory to determine the plotline of Bob Dylan's 'Tangled up in Blue'"

One approach to a solution:

"In this scheme the structure of spacetime is intrinsically quantum mechanical…. We shall demonstrate that the breaking of symmetry in a QST [quantum space-time] is intimately linked to the notion of quantum entanglement."

— "Theory of Quantum Space-Time," by Dorje C. Brody and Lane P. Hughston, Royal Society of London Proceedings Series A, Vol. 461, Issue 2061, August 2005, pp. 2679-2699

(See also The Klein Correspondence, Penrose Space-Time, and a Finite Model.)

For some less technical examples of broken symmetries, see yesterday's entry, "Alphabet vs. Goddess."

That entry displays a painting in 16 parts by Kimberly Brooks (daughter of Leonard Shlain– author of The Alphabet Versus the Goddess— and wife of comedian Albert Brooks (real name: Albert Einstein)). Kimberly Brooks is shown below with another of her paintings, titled "Blue."

http://www.log24.com/log/pix09A/090722-ArtisticVision-Sm.jpg

Click image to enlarge.

"She was workin' in a topless place
 And I stopped in for a beer,
 I just kept lookin' at the side of her face
 In the spotlight so clear.
 And later on as the crowd thinned out
 I's just about to do the same,
 She was standing there in back of my chair
 Said to me, 'Don't I know your name?'
 I muttered somethin' underneath my breath,
 She studied the lines on my face.
 I must admit I felt a little uneasy
 When she bent down to tie the laces of my shoe,
 Tangled up in blue."

-- Bob Dylan

Further entanglement with blue:

The website of the Los Angeles Police Department, designed by Kimberly Brooks's firm, Lightray Productions.

Further entanglement with shoelaces:

"Entanglement can be transmitted through chains of cause and effect– and if you speak, and another hears, that too is cause and effect.  When you say 'My shoelaces are untied' over a cellphone, you're sharing your entanglement with your shoelaces with a friend."

— "What is Evidence?," by Eliezer Yudkowsky

Thursday, March 12, 2009

Thursday March 12, 2009

Filed under: General — m759 @ 8:30 pm
Aesthetics
 of Matter,

continued

Bill Murray and Scarlett Johansson in 'Lost in Translation'

International

The Klein Four-Group (Click for details.)

Klein

 

Blue

Related material:

Aspects of Symmetry,
from the day that
Scarlett Johansson
turned 23, and…

"…A foyer of the spirit in a landscape
Of the mind, in which we sit
And wear humanity's bleak crown;

In which we read the critique of paradise
And say it is the work
Of a comedian, this critique…."

— "Crude Foyer," by Wallace Stevens

Monday, August 25, 2003

Monday August 25, 2003

Filed under: General — Tags: — m759 @ 3:31 am

Gates to the City

Today’s birthday:

On August 25, 1918, composer Leonard Bernstein was born.

From Winter’s Tale, Harcourt Brace (1983):

Four Gates to the City

By MARK HELPRIN

Every city has its gates, which need not be of stone. Nor need soldiers be upon them or watchers before them. At first, when cities were jewels in a dark and mysterious world, they tended to be round and they had protective walls. To enter, one had to pass through gates, the reward for which was shelter from the overwhelming forests and seas, the merciless and taxing expanse of greens, whites, and blues–wild and free–that stopped at the city walls.

In time the ramparts became higher and the gates more massive, until they simply disappeared and were replaced by barriers, subtler than stone, that girded every city like a crown and held in its spirit. Some claim that the barriers do not exist, and disparage them. Although they themselves can penetrate the new walls with no effort, their spirits (which, also, they claim do not exist) cannot, and are left like orphans around the periphery.

To enter a city intact it is necessary to pass through one of the new gates. They are far more difficult to find than their solid predecessors, for they are tests, mechanisms, devices, and implementations of justice. There once was a map, now long gone, one of the ancient charts upon which colorful animals sleep or rage. Those who saw it said that in its illuminations were figures and symbols of the gates. The east gate was that of acceptance of responsibility, the south gate that of the desire to explore, the west gate that of devotion to beauty, and the north gate that of selfless love. But they were not believed. It was said that a city with entryways like these could not exist, because it would be too wonderful. Those who decide such things decided that whoever had seen the map had only imagined it, and the entire matter was forgotten, treated as if it were a dream, and ignored. This, of course, freed it to live forever.

See also

Lenny’s Gate:

Fred Stein,
Central Park,
1945 

Thanks to Sonja Klein Fine Art
 for pointing out the Stein photo.

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