Similar Polyaboloes Tiling a Square

A polyabolo or polytan is a plane figure formed by joining equal isosceles right triangles along equal edges. A few polyaboloes can form a square by joining variously sized copies of themselves. Here I show some examples.

The tilings shown use as few tiles as I know how, and are not necessarily unique under this condition. If you find a tiling with fewer tiles, please write.

See also Similar Polyaboloes Tiling a Triangle, Similar Polyaboloes Tiling a Home Plate Hexabolo, and Similar Polyaboloes Tiling an Octagon.

The standard reference for tilings by polyforms at various scales is Dr. Karl Scherer's A Puzzling Journey to the Reptiles and Related Animals (1987).

Monabolo

Diaboloes

Triaboloes

Tetraboloes

Pentaboloes

Hexaboloes

Heptaboloes

Octaboloes

Last revised 2017-11-25.

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Col. George Sicherman [ HOME | MAIL ]