| 词条 | Rhombitriapeirogonal tiling |
| 释义 |
In geometry, the rhombtriapeirogonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of rr{∞,3}. SymmetryThis tiling has [∞,3], (*∞32) symmetry. There is only one uniform coloring. Similar to the Euclidean rhombitrihexagonal tiling, by edge-coloring there is a half symmetry form (3*∞) orbifold notation. The apeireogons can be considered as truncated, t{∞} with two types of edges. It has Coxeter diagram {{CDD|node_h|3|node_h|infin|node_1}}, Schläfli symbol s2{3,∞}. The squares can be distorted into isosceles trapezoids. In the limit, where the rectangles degenerate into edges, an infinite-order triangular tiling results, constructed as a snub triapeirotrigonal tiling, {{CDD|node_h|3|node_h|infin|node}}. Related polyhedra and tiling{{Order i-3 tiling table}}Symmetry mutationsThis hyperbolic tiling is topologically related as a part of sequence of uniform cantellated polyhedra with vertex configurations (3.4.n.4), and [n,3] Coxeter group symmetry. {{Expanded table}}See also{{Commons category|Uniform tiling 3-4-i-4}}
References{{refbegin}}
External links
4 : Apeirogonal tilings|Hyperbolic tilings|Isogonal tilings|Uniform tilings |
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