Integer Torus Maps

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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.

Contributed by: Stephen Wolfram (March 2011)
Open content licensed under CC BY-NC-SA


Snapshots


Details

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



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