Diamond Theory: Symmetry in Binary Spaces

BIBLIOGRAPHIC DATA
Title	Diamond Theory: Symmetry in Binary Spaces
Author	Cullinane, Steven H. <m759@post.harvard.edu>
Language	English
Country (State)	United States of America
Format of data	text/html
Keywords	finite geometry; finite groups; combinatorics; Hadamard matrix; coding theory; symmetry; Walsh function; Mathieu group; Cullinane; diamond; Plato; hypercube; Curtis; MOG; miracle octad generator, PG(3,2); octad; geometry; projective; automorphism; affine space
Description	This site is devoted to diamond theory, investigating symmetries in a simple planar shape. A new theorem describes hidden symmetries of Plato's diamond figure from the Meno dialogue. These symmetries, generalized to larger figures, throw new light on topics in finite geometry, finite group theory, and combinatorics. Links to related websites are provided. This site is listed in The Open Directory and the Math Forum directory.
URL	http://finitegeometry.org/sc/gen/dth/DiamondTheory.html was: http://m759.freeservers.com/

CLASSIFICATION
Source Type	Handbooks
MSCverbal	Matrices (incidence, Hadamard, etc.); finite geometries; matrices over finite fields; multiply transitive finite groups; finite automorphism groups; sporadic groups; combinatorial structures in finite projective spaces; geometric methods in coding theory
MSC	05B20; 05B25; 15A33; 20B20; 20B25; 20D08; 51E20; 94B27

ADDITIONAL INFORMATION
Access	free; no restriction
Contents	**
Level	popular - graduate

STATISTICS
Backlinks	1,600
© SSG-FI	2001-04-10 (revised 2009-01-21)

Metadata: Diamond Theory: Symmetry in Binary Spaces