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

Back to Polyform Tiling < Polyform Curiosities

Col. George Sicherman { HOME | MAIL }