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Order-4 hexagonal tiling : ウィキペディア英語版
Order-4 hexagonal tiling

In geometry, the order-4 hexagonal tiling is a regular tiling of the hyperbolic plane. It has Schläfli symbol of .
== Symmetry ==
This tiling represents a hyperbolic kaleidoscope of 6 mirrors defining a regular hexagon fundamental domain. This symmetry by orbifold notation is called
*222222 with 6 order-2 mirror intersections. In Coxeter notation can be represented as (), removing two of three mirrors (passing through the hexagon center). Adding a bisecting mirror through 2 vertices of a hexagonal fundamental domain defines a trapezohedral
*3322 symmetry
. Adding 3 bisecting mirrors through the vertices defines
*443 symmetry
. Adding 3 bisecting mirrors through the edge defines
*3222 symmetry
. Adding all 6 bisectors leads to full
*642 symmetry
.

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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