1984-1985 « Log24

Friday, July 4, 2025

Filed under: General — Tags: Affine Cube, Diamonds and Whirls — m759 @ 10:25 am

Meanwhile . . .

84-09-15…	Diamonds and whirls Block designs of a different sort — graphic figures on cubes. See also the University of Exeter page on the octahedral group O.
84-09-25…	Affine groups on small binary spaces Six ways to slice a cube, and the resulting affine groups. For details, see the author's 1984 paper Binary Coordinate Systems.
85-03-26…	Visualizing GL(2, p)
85-04-28…	Generating the octad generator The Miracle Octad Generator (MOG) of R. T. Curtis — A correspondence between the 35 partitions of an 8-set into two 4-sets and the 35 lines of PG(3,2).
85-08-22…	Symmetry invariance under M₁₂ A generalization of the two-color plane patterns, made up of all-black and all-white squares, that underlie plane patterns, made up of two-color diagonally-divided squares, of diamond theory.
	In a more abstract vein . . .
84-01-05…	Linear operators in geometric function spaces
85-04-05…	Group actions on partitions
85-04-05…	GL(2, 3) actions on a cube
85-11-17…	Groups related by a nontrivial identity
85-12-11…	Dynamic and algebraic compatibility of groups