Similar Polyaboloes Tiling a Triangle

A polyabolo or polytan is a plane figure formed by joining equal isosceles right triangles along equal edges. A few polyaboloes can form an isosceles right triangle 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.

Most of these solutions were found by Karl Scherer, who published them in A Puzzling Journey to the Reptiles in 1986. The third hexabolo solution was found independently by Bryce Herdt in 2009.

See also Similar Polyaboloes Tiling an Octagon.

Monabolo

Triabolo

Tetrabolo

Pentaboloes

Hexaboloes

Heptaboloes

Octaboloes

Last revised 2018-09-06.

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Col. George Sicherman [ HOME | MAIL ]