2×3 Hexomino Compatibility

Introduction

The compatibility problem is to find a figure that can be tiled with each of a set of polyforms. Here I show minimal known compatibility figures for the 2×3 rectangular hexomino and other polyominoes. If you find a smaller solution or solve an unsolved case, please let me know.

Compatibility with trominoes, tetrominoes, pentominoes, and hexominoes (with one exception) was first solved by Giovanni Resta. You can see his work at his monumental website Polypolyominoes.

  • Monomino
  • Domino
  • Trominoes
  • Tetrominoes
  • Pentominoes
  • Hexominoes
  • Heptominoes
  • Octominoes
  • Monomino

    Domino

    Trominoes

    Tetrominoes

    Pentominoes

    Impossible

    Holeless Variants

    Hexominoes

    Impossible

    Holeless Variant

    Heptominoes

    6 Heptominoes, 7 Hexominoes

    12 Heptominoes, 14 Hexominoes

    More Heptominoes and Hexominoes

    Unsolved

    Impossible

    Octominoes

    3 Octominoes, 4 Hexominoes

    6 Octominoes, 8 Hexominoes

    More Octominoes and Hexominoes

    Last revised 2015-11-10.


    Back to Pairwise Compatibility < Polyform Compatibility < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]