# polyiamond

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## polyiamond

[′päl·ē·ə‚mänd]
(mathematics)
A plane figure formed by joining a finite number of equilateral triangles along their sides.
References in periodicals archive ?
If the basic polygons are cells of a regular tiling of the plane by squares, equilateral triangles or regular hexagons, then the polyform is called a polyomino, polyiamond or polyhex respectively.
In Sections 6 and 7, we find the threshold sequence for each polyiamond and polyomino of size smaller than 5.
Unbiased polyiamond games are studied in [4, 5, 8].
Polyiamonds were named and popularised by Thomas H.
We might think laterally and link the word 'tile' with Polyominoes, or Polyiamonds, as in Solomon Golomb's game of Pentominoes, or variants of Blokus (Figure 3).
The result is a game that uses polyiamonds (the polyomino-like family of two-dimensional shapes, built using unit-sided equilateral triangles) to make a set consisting of all the mathematically distinct polyiamonds, from the unique moniamond to all of the hexiamonds.
Find all the mathematically distinct polyiamonds up to six triangles at a time: moniamonds, diamonds, triamonds, tetriamonds, pentiamonds, and hexiamonds.
Similarly, Blokus has been adapted into Blokus Trigon for 4 players, each using a coloured set of all the polyiamonds up to hexiamonds, on a hexagonal triangle-grid board.
If each player uses a coloured set of all polyiamonds from the moniamond to the hexiamonds, what size hexagonal triangle-grid board would be suitable to fit all the pieces, 22 of each colour?
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