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The Diamond Theorem in Finite Geometry

Finite projective geometry explains why certain graphic designs retain symmetry under a group of 322,560 transformations.

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PAGE TITLE
The Diamond Theorem in Finite Geometry | diamondtheorem.com Reviews
<META>
DESCRIPTION
Finite projective geometry explains why certain graphic designs retain symmetry under a group of 322,560 transformations.
<META>
KEYWORDS
1 Science & Technology
2 Education
3 finite geometry
4 graphic design
5 geometric designs
6 tessellations
7 projective geometry
8 projective space
9 group theory
10 finite groups
CONTENT
Page content here
KEYWORDS ON
PAGE
finite geometry notes,site map,author,theorem,example,remarks,related pages,binary coordinate systems,map systems,the diamond theorem,diamond theory,latin square geometry,walsh functions,inscapes,block designs,finite relativity,theme and variations
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openresty/1.11.2.4
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The Diamond Theorem in Finite Geometry | diamondtheorem.com Reviews

https://diamondtheorem.com

Finite projective geometry explains why certain graphic designs retain symmetry under a group of 322,560 transformations.

LINKS TO THIS WEBSITE

finitegeometry.org finitegeometry.org

Finite Geometry of the Square and Cube - Home Page

http://finitegeometry.org/sc/index.html

By Steven H. Cullinane. This site is about the. Geometry of the 4x4x4 Cube. The mathematical structure,. Not the mechanical puzzle). And related simpler structures. For applications of this sort. Of geometry to physics, see. For some of the simpler substructures of the 4x4x4 cube, see. Geometry of the 2x2 Square. Geometry of the 2x2x2 Cube. Geometry of the 4x4 Square. These traditional and supposedly well-known structures are, surprisingly, closely related to small finite geometries. For a more detailed ...

log24.com log24.com

Notes on Finite Geometry

http://log24.com/notes

Notes on Finite Geometry. By Steven H. Cullinane. This page summarizes the author's work in the area of finite geometry during the years 1975 through 2006. Notes listed by size of the underlying structure:. 2004 April 28 ( html. See also Timothy A. Smith's web page on Fugue 21, Book II, of Bach's "Well-Tempered Clavier". An outer automorphism of S. 1986 June 11 ( jpg. Picturing outer automorphisms of S. 1986 July 3 ( jpg. Modeling the 21-point plane with outer automorphisms of S. 2001 Jan. 24 ( html.

finitegeometry.org finitegeometry.org

Finite Geometry of the Square and Cube - Home Page

http://finitegeometry.org/sc

By Steven H. Cullinane. This site is about the. Geometry of the 4x4x4 Cube. The mathematical structure,. Not the mechanical puzzle). And related simpler structures. For applications of this sort. Of geometry to physics, see. For some of the simpler substructures of the 4x4x4 cube, see. Geometry of the 2x2 Square. Geometry of the 2x2x2 Cube. Geometry of the 4x4 Square. These traditional and supposedly well-known structures are, surprisingly, closely related to small finite geometries. For a more detailed ...

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The Diamond Theorem in Finite Geometry

ABSTRACT: 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 orthogonal Latin squares and projective spreads, and to symmetry of Walsh functions. We regard the four-diamond figure D above as a 4x4 array of two-color diagonally-divided square tiles. For an animated version, click here.

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