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Rhombitetrahexagonal tiling
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Rhombitetrahexagonal tiling : ウィキペディア英語版
Rhombitetrahexagonal tiling

In geometry, the rhombitetrahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of rr. It can be seen as constructed as a rectified tetrahexagonal tiling, r, as well as an expanded order-4 hexagonal tiling or expanded order-6 square tiling.
== Constructions ==
There are two uniform constructions of this tiling, one from () or (
*642) symmetry, and secondly removing the miror middle, (), gives a rectangular fundamental domain (), (
*3222).
|- align=center
!Coxeter diagram
|
| =
|}
There are 3 lower symmetry forms seen by including edge-colorings: sees the hexagons as truncated triangles, with two color edges, with () (4
*3) symmetry. sees the yellow squares as rectangles, with two color edges, with () (6
*2) symmetry. A final quarter symmetry combines these colorings, with () (32×) symmetry, with 2 and 3 fold gyration points and glide reflections.
This four color tiling is related to a semiregular infinite skew polyhedron with the same vertex figure in Euclidean 3-space with a prismatic honeycomb construction of .
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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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