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Polyominoid
In geometry, a polyominoid (or minoid for short) is a set of equal squares in 3D space, joined edge to edge at 90- or 180-degree angles. The polyominoids include the polyominoes, which are just the planar polyominoids. The surface of a cube is an example of a ''hexominoid,'' or 6-cell polyominoid. Polyominoids appear to have been first proposed by Richard A. Epstein.〔Epstein, Richard A. (1977), ''The Theory of Gambling and Statistical Logic'' (rev. ed.). Academic Press. ISBN 0-12-240761-X. Page 369.〕
==Classification==
90-degree connections are called ''hard''; 180-degree connections are called ''soft''. This is because, in manufacturing a model of the polyominoid, a hard connection would be easier to realize than a soft one.〔(The Polyominoids ) (archive of (The Polyominoids ))〕 Polyominoids may be classified as ''hard'' if every junction includes a 90° connection, ''soft'' if every connection is 180°, and ''mixed'' otherwise, except that the unique monominoid has no connections of either kind, which makes it both hard and soft by default.
The soft polyominoids are just the polyominoes.
As with other polyforms, two polyominoids that are mirror images may be distinguished. ''One-sided'' polyominoids distinguish mirror images; ''free'' polyominoids do not.
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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