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4444 symmetry : ウィキペディア英語版
Order-8 square tiling

In geometry, the order-8 square tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of .
== Symmetry ==
This tiling represents a hyperbolic kaleidoscope of 4 mirrors meeting as edges of a square, with eight squares around every vertex. This symmetry by orbifold notation is called (
*4444) with 4 order-4 mirror intersections. In Coxeter notation can be represented as (), (
*4444 orbifold) removing two of three mirrors (passing through the square center) in the () symmetry. The
*4444 symmetry can be doubled by bisecting the fundamental domain (square) by a mirror, creating
*884 symmetry
.
This bicolored square tiling shows the even/odd reflective fundamental square domains of this symmetry. This bicolored tiling has a wythoff construction t1(4,4,4), :

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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