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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 (), ( *∞∞∞). 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「truncated triapeirogonal tiling」の詳細全文を読む スポンサード リンク
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