Log24

Thursday, May 30, 2024

Religious Game

Filed under: General — Tags: , , , — m759 @ 9:23 am

The 132 hexads  in yesterday's "Small Shapes" post suggest a look at . . .

From a biography of Aviezri Fraenkel in the above
2001 issue of The Electronic Journal of Combinatorics

"As a scientist, Aviezri is interested in,
studies, creates and is involved in mathematics.
As a religious man, Aviezri is interested in,
studies, creates and is involved in Jewish knowledge
and heritage.

In 1962, during his stay in Minneapolis, while thinking
and discussing with a friend how computers could help
to advance Judaic studies, Aviezri conceived a very
original idea based on information retrieval, which
eventually became the unique Responsa Project,
known and used by the entire Jewish world."


I do not know what I  was doing on the above publication date —
May 18, 2000 — but the following note from earlier that year
seems relevant to more-recent remarks here.

Wednesday, May 29, 2024

The Strong Law of Small Shapes*

Filed under: General — Tags: , , , , — m759 @ 9:52 am

Two examples:

The above note led to a letter from John H. Conway, which in turn
led to the following . . .

'Dreaming Jewels' from October 10, 1985

* The title refers to a well-known 1988 article by Richard K. Guy.

   A shape from the date of Guy's reported death

Saturday, January 21, 2023

Handcraft

Filed under: General — Tags: , , — m759 @ 3:58 am

"The reader can construct her own cube . . . ."

Cube labels for S4 multiplication by Ovidiu Cristinel Stoica

Saturday, August 1, 2020

A Cross for von Sydow

Filed under: General — Tags: , — m759 @ 9:59 am

See also Joseph Malkevitch's memorial essay on Richard K. Guy,
who reportedly died on March 9, 2020, and Log24 on that date.

Tuesday, March 10, 2020

Labeling a Cuboctahedron

Filed under: General — Tags: , , — m759 @ 12:01 pm

The above arrangement of graphic images on  cube faces is purely
decorative and static, and of  little mathematical interest.

(A less static, but structurally chaotic, artifact might be made by
pasting the above 24 graphic images in the "Cosets in S4" picture
above onto the 24 faces of a 2x2x2 Rubik cube. This suggests the
reflection below on the poet Wallace Stevens, whose "Connoisseur
of Chaos" first appeared on page 90 of Twentieth Century Verse ,
Numbers 12-13, October 1938.)

If mathematically interesting  permutations of the graphic images
are to be done, the images should be imagined as situated on
parallel  planes, as in the permutahedron below —

IMAGE- 'Permutahedron of Opposites'-- 24 graphic patterns arranged in space as 12 pairs of opposites

Click the above permutahedron for an analysis of its structure.

Monday, March 9, 2020

“Archimedes at Hiroshima” Continues.

Filed under: General — Tags: , , , — m759 @ 7:34 pm

The title is from a post of January 10, 2019.

A figure from this journal on June 1, 2019

The following figure may help relate labelings of the
truncated octahedron ("permutahedron") to labelings
of its fellow Archimedean solid, the cuboctahedron.

See as well other posts tagged Aitchison.

 
 

The Bucharest Wheel

Filed under: General — Tags: , , — m759 @ 8:14 am

From the Bucharest author in last night's 12:12 AM post

From this  journal on the above date, Feb. 16, 2011 —

The Bucharest Cross

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

For fans of "The Zero Theorem" —

The 24 permutations of S4 arranged on a cube
by Cristi Stoica of Bucharest at
http://www.unitaryflow.com/2009/06/polyhedra-and-groups.html:

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