Bireptiles

In combinatorial geometry a reptile is a geometric figure, equal copies of which can be joined to form an enlarged form of the figure. For example, four copies of the P-pentomino can form a P-pentomino at double scale, or four times as large:

Reptiles are known for polyominoes, polyiamonds, polyaboloes, and other polyforms.

Few polyforms of any kind form reptiles. A bireptile is a figure of which copies can be joined to form two joined, equally enlarged copies of the original figure.

Any figure with a reptiling trivially has a bireptiling, but not every figure with a bireptiling has a reptiling. That is, bireptiles are more common than reptiles.

Polyomino
Bireptiles
Polyabolo
Bireptiles
Polyiamond
Bireptiles
Polydrafter
Bireptiles
Polycube
Bireptiles

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Col. George Sicherman { HOME | MAIL }