Similar Polyaboloes Tiling a Right Trapezoidal Triabolo

A polyabolo or polytan is a plane figure formed by joining equal isosceles right triangles along equal edges. A few polyaboloes can form a right trapezoidal triabolo by joining variously sized copies of themselves. (I use the term trapezoid in its North American sense. In the rest of the English-speaking world it is called a trapezium.) 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 Square, Similar Polyaboloes Tiling a Home Plate Hexabolo, and Similar Polyaboloes Tiling an Octagon.

Monabolo

Triaboloes

Tetraboloes

Pentaboloes

Hexaboloes

Heptaboloes

Octaboloes

Last revised 2020-08-28.


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Col. George Sicherman [ HOME | MAIL ]