Tiling a Badge with a Hexiamond and a Heptiamond
Introduction
A hexiamond is a plane figure
formed by joining 6 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 hexiamond 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 new solutions
and smaller solutions.
See also:
13 Cells
25 Cells
33 Cells
37 Cells
46 Cells
49 Cells
52 Cells
54 Cells
61 Cells
64 Cells
69 Cells
73 Cells
78 Cells
81 Cells
88 Cells
94 Cells
96 Cells
100 Cells
109 Cells
117 Cells
121 Cells
132 Cells
141 Cells
148 Cells
150 Cells
177 Cells
181 Cells
198 Cells
208 Cells
214 Cells
216 Cells
249 Cells
253 Cells
276 Cells
286 Cells
292 Cells
294 Cells
297 Cells
325 Cells
333 Cells
337 Cells
384 Cells
421 Cells
528 Cells
600 Cells
726 Cells
753 Cells
1014 Cells
2166 Cells
4704 Cells
Last revised 2025-08-11.
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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