The transformation {x,y}->Mod[{{a,b},{c,d}}.{x,y},n] is iteratively applied to the position of every point in a grid, thereby distorting the image of a letter.
When the matrix {{a,b},{c,d}} is invertible, the image always eventually returns to its original form after some number of steps.
![[Snapshot]](HTMLImages/index.en/thumbnail_1.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_2.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_3.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_4.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_5.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_6.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_7.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_8.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_9.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_10.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_11.gif)
![[Snapshot]](HTMLImages/index.en/thumbnail_12.gif)
Embed Interactive Demonstration 
Browse all topics
