Polyiamond Tri-Oddities
A polyiamond tri-oddity
is a figure with ternary symmetry formed by some number of copies of
a polyiamond that is not a multiple of three.
Torsten Sillke first studied them in 1996.
Here are the minimal known tri-oddities for polyiamonds of order
up to 6.
Impossible polyiamonds are shown in black.
Please write if you find a smaller solution or solve an unsolved case.
For heptiamonds (7-iamonds), see Heptiamond
Tri-Oddities.
For polyhexes, see Polyhex Tri-Oddities.
[ Moniamond
| Diamond
| Triamond
| Tetriamonds
| Pentiamonds
| Hexiamonds
]
Mirror Variants
Holeless Variant
Convex Variants
Some hexiamonds with no known tri-oddities can form tri-oddities
in pairs.
See Hexiamond Pair Tri-Oddities.
Horizontal Mirror Variants
Holeless Variant
Vertical Mirror Variants
Holeless Variant
Full Symmetry Variants
Holeless Variant
Convex Variant
Last revised 2023-05-06.
Back to Polyform Oddities
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Polyform Curiosities
Col. George Sicherman
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