Tiling a Chamfered Rectangle with a Polyabolo

Introduction

A polyabolo or polytan is a plane figure formed by joining equal isosceles right triangles at their legs or hypotenuses. Here are some polyaboloes:

A chamfered rectangle is a rectangular polyabolo with its corner cells clipped diagonally. To prevent cuts from meeting, I require the dimensions of the rectangle to be 3 or greater.

Here I show the minimal known chamfered rectangle that can be tiled by each polyabolo.

See also

  • Tiling a Chamfered Rectangle with Two Pentaboloes
  • Tiling a Chamfered Rectangle with Two Tetraboloes
  • Monabolo

    Diaboloes

    Triaboloes

    Tetraboloes

    None known.

    Pentaboloes

    Hexaboloes

    Heptaboloes

    Octaboloes

    None known.

    Enneaboloes

    Last revised 2024-04-10.


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    Col. George Sicherman [ HOME | MAIL ]