From posts tagged Night Hunt —
"When the men on the chessboard
get up and tell you where to go . . ."
Saturday, April 20, 2024
Night Hunt … Continues.
Friday, February 16, 2024
The Sixteen
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.
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Sunday, September 10, 2023
For Orson Welles and Yul Brynner
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 —
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Midnight Entertainment: Plan 9 from Death Valley
Related reading —
Lo Shu and Death Valley.
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Saturday, September 9, 2023
“Fez” as Metaphor in Nowak* and in Levinson**
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"We need the word 'metaphor' for the whole double unit, and to use it sometimes for one of the two components in separation from the other is as injudicious as that other trick by which we use 'the meaning' here sometimes for the work that the whole double unit does and sometimes for the other component–the tenor, as I am calling it–the underlying idea or principal subject which the vehicle or figure means. It is not surprising that the detailed analysis of metaphors, if we attempt it with such slippery terms as these, sometimes feels like extracting cube-roots in the head."
— I. A. Richards, The Philosophy of Rhetoric . |
* Nowak: See the central image in "An Art Director's Top Nine," Log24 yesterday.
** Levinson: See Variety on the "Euphoria" character.
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Monday, October 10, 2022
Hidden Structure
The following note from Oct. 10, 1985, was not included
in my finitegeometry.org/sc pages.
See some related group actions on the cuboctahedron at right above.
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