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 7.
Impossible polyiamonds are shown in black.
Please write if you find a smaller solution or solve an unsolved case.
For polyhexes, see Polyhex Tri-Oddities.
[ Moniamond
| Diamond
| Triamond
| Tetriamonds
| Pentiamonds
| Hexiamonds
| Heptiamonds
| Mirror Symmetry
]
These figures have mirror symmetry as well as ternary symmetry.
Horizontal
Vertical
Both
Back to Polyform Curiosities.
Col. George Sicherman
[ HOME
| MAIL
]