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 Symmetry ]

Moniamond

Diamond

Triamond

Tetriamonds

Pentiamonds

Hexiamonds

Mirror Symmetry

These figures have mirror symmetry as well as ternary symmetry.

Horizontal

Vertical

Both

Last revised 2017-09-02.


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Col. George Sicherman [ HOME | MAIL ]