Log24

Saturday, June 15, 2024

“That Nature is a Heraclitean Fire . . . .”
— A Wednesday* Fluxus Memorial

Filed under: General — Tags: — m759 @ 9:10 pm

A New York Times  obituary today for the Fluxus artist below
suggests a look at this  journal on June 5, his reported date of death.

* See also June 5 in yesterday's Annals of Ambiguity post.

Saturday, April 20, 2024

Night Hunt … Continues.

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

From posts tagged Night Hunt

"When the men on the chessboard
get up and tell you where to go . . ."

Friday, February 16, 2024

The Sixteen

Filed under: General — Tags: , — m759 @ 7:56 pm

Gemini Sonnet, Feb. 15, 2024

Prompt:

Write a poem, in strict sonnet form, about the Cullinane diamond theorem.

Response (slightly tweaked for grammar):

Within a grid of sixteen squares reside
A diamond's gleams where symmetries do guide.
Though tiles may shift, a pattern shall remain,
By unseen lines of ordered form sustained.
Rows mix and columns twist in playful dance,
Quadrants align with geometric chance.
No matter how the elements may turn,
A hidden balance always will return.

Where Latin squares in secret do align,
And finite fields their subtle powers combine,
An ideal forms, with brilliance all its own,
A ring of light where hidden truths are shown.
Though chaos swirls, an order does descend,
The Cullinane's bright theorem will transcend.

________________________________________________________________

As for "a hidden balance" See Oct. 10, 2022.

Sunday, September 10, 2023

For Orson Welles and Yul Brynner

Filed under: General — Tags: , , — m759 @ 7:47 am

Two examples from the Wikipedia article  "Archimedean solid" —

Iain Aitchison said in a 2018 talk at Hiroshima that
the Mathieu group M24  can be represented as permuting
naturally the 24 edges  of the cuboctahedron.

The 24 vertices  of the truncated  octahedron are labeled 
naturally by the 24 elements of S4  in a permutahedron —

Can M24  be represented as permuting naturally
the 24 vertices  of the truncated octahedron?

Related material from the day Orson Welles and Yul Brynner died —

'Dreaming Jewels' from October 10, 1985

Monday, October 10, 2022

Hidden Structure

The following note from Oct. 10, 1985, was not included
in my finitegeometry.org/sc pages.

'Dreaming Jewels' from October 10, 1985

See some related group actions on the cuboctahedron at right above.

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