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8773

Integer Torus Maps

Each point {x,y} in an integer grid of size n is joined to the point with coordinates obtained by iteratively applying the transformation Mod[{{a,b},{c,d}}.{x,y},n] the specified number of times.

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DETAILS

When the matrix {{a,b},{c,d}} is invertible, every point in the grid maps to a distinct point.

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"Integer Torus Maps" from the Wolfram Demonstrations Project
 http://demonstrations.wolfram.com/IntegerTorusMaps/
Contributed by: Stephen Wolfram
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