WOLFRAM|DEMONSTRATIONS PROJECT

Rep-Tiles

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A 2D shape that can tile itself with
n
smaller, equally sized copies of itself is called a rep-tile and is said to be rep-
n
.
The order of a rep-tile is the smallest number
n
such that the tile is rep-
n
.
Any polysquare that tiles a square is obviously a rep-tile. These trivial cases are omitted here.