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

    • Table

    This table shows the number of cells in the smallest known solution for a given pentiamond and hexiamond.

     6A6E6F6H6I6L6O6P6S6U6V6X
    5I178717471111471163261716
    5J44312626314710711107111131
    5Q16?17?11281116?1117?
    5U11?11????17??135?

    11 Cells

    16 Cells

    17 Cells

    26 Cells

    28 Cells

    31 Cells

    44 Cells

    47 Cells

    63 Cells

    87 Cells

    107 Cells

    135 Cells

    Last revised 2025-03-04.

    Back to Polyiamond and Polyming Tiling < Polyform Tiling < Polyform Curiosities
    Col. George Sicherman [ HOME | MAIL ]