Log24

Thursday, April 13, 2017

Midrash

Filed under: Uncategorized — Tags: — m759 @ 12:01 AM

Wednesday, April 12, 2017

Knucklebone

Filed under: Uncategorized — 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

Filed under: Uncategorized — Tags: , , — m759 @ 10:00 AM

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: Uncategorized — 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.

Saturday, December 10, 2016

Folk Etymology

Filed under: Uncategorized — Tags: , — m759 @ 9:00 AM

Images from Burkard Polster's Geometrical Picture Book

See as well in this journal the large  Desargues configuration, with
15 points and 20 lines instead of 10 points and 10 lines as above.

Exercise:  Can the large Desargues configuration be formed
by adding 5 points and 10 lines to the above Polster model
of the small configuration in such a way as to preserve
the small-configuration model's striking symmetry?  
(Note: The related figure below from May 21, 2014, is not
necessarily very helpful. Try the Wolfram Demonstrations
model
, which requires a free player download.)

Labeling the Tetrahedral Model (Click to enlarge) —

Related folk etymology (see point a  above) —

Related literature —

The concept  of "fire in the center" at The New Yorker , 
issue dated December 12, 2016, on pages 38-39 in the
poem by Marsha de la O titled "A Natural History of Light."

Cézanne's Greetings.

Saturday, December 22, 2012

Cezanne’s Greetings

Filed under: Uncategorized — Tags: — m759 @ 5:55 PM

IMAGE- Arts & Letters Daily, feed from Dec. 21, 2012: Charles Rosen, Cezanne, and Roger Scruton on high culture

Click anywhere in the above image for the high culture essay.

Here are the links to Rosen and Cézanne.

See also the December 11th Log24 post Conclusion.

Wednesday, January 19, 2011

Intermediate Cubism

Filed under: Uncategorized — Tags: — m759 @ 2:22 PM

The following is a new illustration for Cubist Geometries

IMAGE- A Galois cube: model of the 27-point affine 3-space

(For elementary cubism, see Pilate Goes to Kindergarten and The Eightfold Cube.
 For advanced, see Solomon's Cube and Geometry of the I Ching .)

Cézanne's Greetings.

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