Tiling a Triangle with a Pair of Heptiamonds

Introduction

Which pairs of heptiamonds can tile a triangle? Here I show some minimal known tilings of triangles by copies of two heptiamonds.

Please write if you find a smaller solution or solve an unsolved pair.

See also

  • Heptiamond Pair Trapezia/Trapezoids
  • Heptiamond Pair Parallelograms

    • Carl Schwenke and Johann Schwenke contributed many new or improved solutions.

    Side 7

    Side 14

    Side 21

    Side 28

    Side 35

    Side 42

    Compound Constructions

    These tilings were constructed by Carl Schwenke and Johann Schwenke.

    7I + 7K

    7I + 7X

    7I + 7V

    7I + 7U

    This page shows how the I heptiamond can tile a triamond (a polyiamond with 3 cells) scaled by a factor of 189.

    A parallelogram with sides 8 and 14 can be tiled with I and U heptiamonds. By replacing 16 of the I heptiamonds in the yellow region with the parallelogram, we obtain a tiling of the scaled triamond by I and U heptiamonds:

    Last revised 2025-04-05.

    Back to Tiling a Triangle with Two Polyiamonds < Polyiamond and Polyming Tiling < Polyform Tiling < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]