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polyform : ウィキペディア英語版
polyform

In recreational mathematics, a polyform is a plane figure constructed by joining together identical basic polygons. The basic polygon is often (but not necessarily) a convex plane-filling polygon, such as a square or a triangle. More specific names have been given to polyforms resulting from specific basic polygons, as detailed in the table below. For example, a square basic polygon results in the well-known polyominoes.
==Construction rules==
The rules for joining the polygons together may vary, and must therefore be stated for each distinct type of polyform. Generally, however, the following rules apply:
#Two basic polygons may be joined only along a common edge, and must share the entirety of that edge.
#No two basic polygons may overlap.
#A polyform must be connected (that is, all one piece; see connected graph, connected space). Configurations of disconnected basic polygons do not qualify as polyforms.
#The mirror image of an asymmetric polyform is not considered a distinct polyform (polyforms are "double sided").

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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