Pentiamond-Hexiamond Pair Pentagons

Introduction

A pentiamond is a plane figure formed by joining 5 equal equilateral triangles edge to edge. There are 4 pentiamonds:

A hexiamond is a plane figure formed by joining 6 equal equilateral triangles edge to edge. There are 12 hexiamonds:

Here I show the smallest known pentagonal (five-sided) polyiamonds that can be formed by copies of a pentiamond and a hexiamond, using at least one of each. If you find a smaller solution, please write.

See also

  • Pentiamond-Heptiamond Pair Pentagons
  • Hexiamond Pair Pentagons
  • Heptiamond Pair Pentagons
  • Solutions

    5I:6A
    D M P Q
    5I:6E
    D M P Q
    5I:6F
    D M P Q
    5I:6H
    D M P Q
    5I:6I
    D M P Q
    5I:6L
    D M P Q
    5I:6O
    D M P Q
    5I:6P
    D M P Q
    5I:6S
    D M P Q
    5I:6U
    D M P Q
    5I:6V
    D M P Q
    5I:6X
    D M P Q
    5J:6A
    D M P Q
    5J:6E
    D M P Q
    5J:6F
    D M P Q
    5J:6H
    D M P Q
    5J:6I
    D M P Q
    5J:6L
    D M P Q
    5J:6O
    D M P Q
    5J:6P
    D M P Q
    5J:6S
    D M P Q
    5J:6U
    D M P Q
    5J:6V
    D M P Q
    5J:6X
    D M P Q
    5Q:6A
    D M P Q
    5Q:6E
    D M P Q
    5Q:6F
    D M P Q
    5Q:6H
    D M P Q
    5Q:6I
    D M P Q
    5Q:6L
    D M P Q
    5Q:6O
    D M P Q
    5Q:6P
    D M P Q
    5Q:6S
    D M P Q
    5Q:6U
    D M P Q
    5Q:6V
    D M P Q
    5Q:6X
    D M P Q
    5U:6A
    D M P Q
    5U:6E
    D M P Q
    5U:6F
    D M P Q
    5U:6H
    D M P Q
    5U:6I
    D M P Q
    5U:6L
    D M P Q
    5U:6O
    D M P Q
    5U:6P
    D M P Q
    5U:6S
    D M P Q
    5U:6U
    D M P Q
    5U:6V
    D M P Q
    5U:6X
    D M P Q

    Last revised 2026-08-11.


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    Col. George Sicherman [ HOME | MAIL ]