Chiaki Kanomata

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Received (received date) Revised (revised date) Communicated by (Name) We describe computer algorithms that produce the complete set of isohedral tilings by n-omino or n-iamond tiles in which the tiles are fundamental domains and the tilings have 3-, 4-, or 6-fold rotational symmetry. The symmetry groups of such tilings are of types p3, p31m, p4, p4g, and(More)
Polyominoes and polyiamonds are among the simplest shapes for tiles and are easily produced by computer or by hand. A polyomino is a tile made up of í µí±› congruent squares joined at their edges. A polyiamond is a tile made up of í µí±› congruent equilateral triangles joined at an edge. There is a rich store of problems concerning these tiles. Most of the(More)
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