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The Diamond Theorem

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Author:Steven H. Cullinane
Description: Finite projective geometry explains the surprising symmetry properties of some simple graphic designs -- found, for instance, in quilts. Links are provided for applications to sporadic simple groups (via the "Miracle Octad Generator" of R. T. Curtis), to the connection between Latin-square orthogonality and projective spreads, and to symmetry of Walsh functions. See also Cullinane's notes on how the square and cube illustrate finite geometry: http://finitegeometry.org/

Levels: College
Languages: English
Resource Types: Publications, Web Interactive/Java
Math Topics: Affine Geometry, Higher-Dimensional Geometry, Euclidean Plane Geometry, Projective Geometry, Transformational Geometry

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