Tiling a Badge with a Pentiamond and a Heptiamond
Introduction
A pentiamond is a plane figure
formed by joining 5 equal equilateral triangles edge to edge.
A heptiamond is a plane figure
formed by joining 7 equal equilateral triangles edge to edge.
A polyiamond badge is
a six-sided polyiamond whose alternate sides have equal length.
It is a truncated equilateral triangle.
A regular hexagon and an equilateral triangle are special cases of badges.
Here I show the smallest known badges
that can be tiled by copies of a given pentiamond
and heptiamond, using at least one of each.
If you find a smaller solution or solve an unsolved case, please write.
Carl Schwenke and Johann Schwenke contributed smaller solutions.
See also:
22 Cells
24 Cells
33 Cells
36 Cells
37 Cells
46 Cells
54 Cells
61 Cells
69 Cells
73 Cells
78 Cells
81 Cells
88 Cells
96 Cells
100 Cells
109 Cells
117 Cells
121 Cells
132 Cells
148 Cells
150 Cells
177 Cells
198 Cells
216 Cells
249 Cells
297 Cells
384 Cells
537 Cells
708 Cells
Last revised 2025-05-20.
Back to Tiling a Badge With a Pair of Polyiamonds
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Polyiamond and Polyming Tiling
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Polyform Tiling
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Polyform Curiosities
Col. George Sicherman
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