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・ Truncated square antiprism
・ Truncated square tiling
・ Truncated square trapezohedron
・ Truncated tesseract
・ Truncated tesseractic honeycomb
・ Truncated tetraapeirogonal tiling
・ Truncated tetrahedral prism
・ Truncated tetrahedron
・ Truncated tetraheptagonal tiling
・ Truncated tetrahexagonal tiling
・ Truncated tetraoctagonal tiling
・ Truncated tetrapentagonal tiling
・ Truncated trapezohedron
・ Truncated triakis tetrahedron
・ Truncated triangular trapezohedron
Truncated triapeirogonal tiling
・ Truncated triheptagonal tiling
・ Truncated trihexagonal tiling
・ Truncated trioctagonal tiling
・ Truncatella
・ Truncatella (fungus)
・ Truncatella (gastropod)
・ Truncatella californica
・ Truncatella caribaeensis
・ Truncatella clathrus
・ Truncatella guerinii
・ Truncatella laurocerasi
・ Truncatella pulchella
・ Truncatella scalarina
・ Truncatella subcylindrica


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Truncated triapeirogonal tiling : ウィキペディア英語版
Truncated triapeirogonal tiling

In geometry, the truncated triapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of tr.
== Symmetry==

The dual of this tiling represents the fundamental domains of (),
*∞32 symmetry. There are 3 small index subgroup constructed from () by mirror removal and alternation. In these images fundamental domains are alternately colored black and white, and mirrors exist on the boundaries between colors.
A special index 4 reflective subgroup, is (), (
*∞∞3), and its direct subgroup ()+, (∞∞3), and semidirect subgroup (), (3
*∞).〔Norman W. Johnson and Asia Ivic Weiss, ''Quadratic Integers and Coxeter Groups'', Canad. J. Math. Vol. 51 (6), 1999 pp. 1307–1336 ()〕 Given () with generating mirrors , then its index 4 subgroup has generators .
An index 6 subgroup constructed as (), becomes (), (
*∞∞∞).

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