Log24

Wednesday, February 9, 2022

8!

Filed under: General — Tags: , , , — m759 @ 12:03 am

Conwell, 1910 — 

(In modern notation, Conwell is showing that the complete
projective group of collineations and dualities of the finite
3-space PG (3,2) is of order 8 factorial, i.e. "8!"
In other words, that any  permutation of eight things may be
regarded as a geometric transformation of PG (3,2).)

Later discussion of this same "Klein correspondence"
between Conwell's 3-space and 5-space . . .

A somewhat simpler toy model —

Page from 'The Paradise of Childhood,' 1906 edition

Related fiction —  "The Bulk Beings" of the film "Interstellar."

Friday, December 3, 2021

Art Memorial

Filed under: General — Tags: , — m759 @ 9:43 am

 

See as well "Go Set a Structure."

Update of March 27, 2022 —

See the URL "blockspace.builders."

Thursday, December 2, 2021

Something Old, Something New

Filed under: General — Tags: , , — m759 @ 2:35 am

Night at the Museum:

Fictional Version —

Not So Fictional —

The Lo Shu as a Finite Space

Wednesday, December 1, 2021

“Show Details” — Art Pallets

Filed under: General — Tags: , — m759 @ 1:11 pm

"Here's to efficient packing!

continues . . .

Tuesday, November 30, 2021

The Big X*

Filed under: General — Tags: , — m759 @ 5:03 pm

Memorial for an art critic who reportedly
died on November 12, 2021 —

* See a poem quoted here  on November 12.

Diagonals for St. Andrew

Filed under: General — Tags: — m759 @ 9:08 am

From St. Stephen's Day 2016

The apparent symbols for "times" and "plus"
in the above screenshot are, of course, icons for
browser functions. Readers who prefer the
fanciful  may regard them instead as symbols for
"a gateway to another realm," that of number theory.

Monday, November 29, 2021

Abstraction and Structure

Filed under: General — Tags: , , , — m759 @ 6:46 pm

'The Nothing That Is' — The hidden structure of 'Vertical-Horizontal Composition,' 1916, by Sophie Taeuber-Arp

For the mathematical  properties of the vertical and horizontal
white grid lines above, see the Cullinane theorem.

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