BIBLIOGRAPHIC DATA | |
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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) |
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