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WOLFRAM NOTEBOOK
Some Irreptiles of Order Greater than 20
Some Irreptiles of Order Greater than 20
A rep-tile is a shape that can be tiled with smaller equally sized copies of the shape. If the tiling uses copies, the shape is said to be rep-.
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An irregular rep-tile (or irreptile) is a shape that can be tiled with copies of itself, not all of the same size. If the tiling uses copies, the shape is said to be irrep-. If no two tiles have the same size, the tiling is called perfect. A shape that only allows irregular self-tilings is called a puritile.
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