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22222 symmetry : ウィキペディア英語版
Order-4 pentagonal tiling

In geometry, the order-4 pentagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of . It can also be called a pentapentagonal tiling in a bicolored quasiregular form.
== Symmetry ==
This tiling represents a hyperbolic kaleidoscope of 5 mirrors meeting as edges of a regular pentagon. This symmetry by orbifold notation is called
*22222 with 5 order-2 mirror intersections. In Coxeter notation can be represented as (), removing two of three mirrors (passing through the pentagon center) in the () symmetry.
The kaleidoscopic domains can be seen as bicolored pentagons, representing mirror images of the fundamental domain. This coloring represents the uniform tiling t1 and as a quasiregular tiling is called a ''pentapentagonal tiling''.
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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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