State Transition Graphs for Integer Torus Maps

grid size

8

iterations

1

matrix elements

a

1

b

1

c

1

d

1

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The state transition graph formed by taking each point {x,y} in an integer grid of size n and mapping it to the point obtained by iteratively applying the transformation Mod[{{a,b},{c,d}}.{x,y},n] the specified number of times.