Tiling a Badge with a Pair of Heptiamonds

Introduction

A heptiamond is a plane figure formed by joining 7 equal equilateral triangles edge to edge.

A polyiamond badge is a six-sided polyiamond whose alternate sides have equal length. It is a truncated equilateral triangle. A regular hexagon and an equilateral triangle are special cases of badges.

Here I show the smallest known badges that can be tiled by copies of two heptiamonds, using at least one of each. If you find a smaller solution, please write.

Carl Schwenke and Johann Schwenke contributed a new solution and some smaller solutions.

See also:

  • Tiling a Triangle with a Pair of Polyiamonds
  • 49 Cells

    196 Cells

    294 Cells

    441 Cells

    637 Cells

    1078 Cells

    1176 Cells

    2646 Cells

    4704 Cells

    Last revised 2025-05-31.


    Back to Tiling a Badge With a Pair of Polyiamonds < Polyiamond and Polyming Tiling < Polyform Tiling < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]