Log24

Thursday, September 19, 2024

The Zen of Brick Space:
Embedding the Null Brick

Filed under: General — Tags: — m759 @ 2:21 am


The "Brick Space" model of PG(5,2) —

Brick space: The 2x4 model of PG(5,2)

Related reading . . .

See also "Zero System."

Tuesday, September 17, 2024

Brick Space Exercise

Filed under: General — Tags: — m759 @ 1:23 am

Thursday, August 1, 2024

For Coppola’s Megalopolis:
Brick Space in the Big Apple

Filed under: General — Tags: — m759 @ 12:00 am

See also Big Apple and Brick Space.

Thursday, July 25, 2024

Brick Space

Filed under: General — Tags: — m759 @ 6:09 am

http://m759.net/wordpress/?s=2×4

Related reading:

http://m759.net/wordpress/?tag=knight-move .

Thursday, July 18, 2024

Brick Space

Filed under: General — Tags: , , — m759 @ 1:45 am
 

Compare and Contrast

 

A rearranged illustration from . . .

R. T. Curtis, "A New Combinatorial Approach to M24 ,"
Mathematical Proceedings of the Cambridge Philosophical Society ,
Volume 79 , Issue 1 , January 1976 , pp. 25 – 42
DOI: https://doi.org/10.1017/S0305004100052075

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The "Brick Space" model of PG(5,2) —

Brick space: The 2x4 model of PG(5,2)

Background: See "Conwell heptads" on the Web.

See as well Nocciolo  in this journal and . . .

Friday, October 25, 2024

The Space Structures Underlying M24

Filed under: General — Tags: , — m759 @ 12:24 am

The structures of the title are the even subsets of a six-set and of
an eight-set, viewed modulo set complementation.

The "Brick Space" model of PG(5,2) —

Brick space: The 2x4 model of PG(5,2)

For the M24 relationship between these spaces, of 15 and of 63 points,
see G. M. Conwell's 1910 paper "The 3-Space PG (3,2) and Its Group,"
as well as Conwell heptads in this  journal.

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