Similar Polyaboloes Tiling a Rectangle

A polyabolo or polytan is a plane figure formed by joining equal isosceles right triangles along equal edges. A few polyaboloes can form a rectangle 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, or solve an unsolved polyabolo, please write.

Polyaboloes that are also polyominoes are omitted. Polyaboloes with the same shapes as smaller polyaboloes are also omitted.

See also

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

Triaboloes

Tetraboloes

Pentaboloes

Hexaboloes

Heptaboloes

Octaboloes

Last revised 2025-09-30.

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Col. George Sicherman [ HOME | MAIL ]