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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.
Contributed by:
Stephen Wolfram
SNAPSHOTS
DETAILS
When the matrix {{a,b},{c,d}} is invertible, every point in the grid maps to a distinct point.
RELATED LINKS
Higher-dimensional generalizations [of iterated maps]
(
NKS|Online
)
PERMANENT CITATION
"
Integer Torus Maps
" from
the Wolfram Demonstrations Project
http://demonstrations.wolfram.com/IntegerTorusMaps/
Contributed by:
Stephen Wolfram
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