Tiling a Triangle with Two Polyiamonds

Introduction

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

Every triangular polyiamond has an imbalance of cells pointing up and cells pointing down. Thus any two polyiamonds with balanced cell orientations cannot tile a triangle.

Please write if you solve an unsolved pair.

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

Links

See also

  • Tiling a Triangle with a Polyiamond
  • Rectifiable Polyiamonds at Andrew Clarke's Poly Pages
  • Tilings

  • Triamond and Tetriamond
  • Tetriamond and Tetriamond
  • Triamond and Pentiamond
  • Tetriamond and Pentiamond
  • Pentiamond and Pentiamond
  • Triamond and Hexiamond
  • Tetriamond and Hexiamond
  • Pentiamond and Hexiamond
  • Hexiamond and Hexiamond
  • Triamond and Heptiamond
  • Tetriamond and Heptiamond
  • Pentiamond and Heptiamond
  • Hexiamond and Heptiamond
  • Heptiamond and Heptiamond
  • Last revised 2024-09-04.


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    Col. George Sicherman [ HOME | MAIL ]