Symmetry edit There is a half symmetry form,
Related polyhedra and tiling edit This tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure (5n ).
Paracompact uniform apeirogonal/pentagonal tilings Symmetry: [∞,5], (*∞52) [∞,5]+ [1+ ,∞,5] [∞,5+ ] {∞,5} t{∞,5} r{∞,5} 2t{∞,5}=t{5,∞} 2r{∞,5}={5,∞} rr{∞,5} tr{∞,5} sr{∞,5} h{∞,5} h2 {∞,5} s{5,∞} Uniform duals V∞5 V5.∞.∞ V5.∞.5.∞ V∞.10.10 V5∞ V4.5.4.∞ V4.10.∞ V3.3.5.3.∞ V(∞.5)5 V3.5.3.5.3.∞
See also edit
Wikimedia Commons has media related to Infinite-order pentagonal tiling .
References edit External links edit
infinite, order, pentagonal, tiling, poincaré, disk, model, hyperbolic, planetype, hyperbolic, regular, tilingvertex, configuration, schläfli, symbol, wythoff, symbol, 2coxeter, diagramsymmetry, group, dual, order, apeirogonal, tilingproperties, vertex, transi. Infinite order pentagonal tilingPoincare disk model of the hyperbolic planeType Hyperbolic regular tilingVertex configuration 5 Schlafli symbol 5 Wythoff symbol 5 2Coxeter diagramSymmetry group 5 52 Dual Order 5 apeirogonal tilingProperties Vertex transitive edge transitive face transitiveIn 2 dimensional hyperbolic geometry the infinite order pentagonal tiling is a regular tiling It has Schlafli symbol of 5 All vertices are ideal located at infinity seen on the boundary of the Poincare hyperbolic disk projection Contents 1 Symmetry 2 Related polyhedra and tiling 3 See also 4 References 5 External linksSymmetry editThere is a half symmetry form nbsp nbsp nbsp nbsp seen with alternating colors nbsp Related polyhedra and tiling editThis tiling is topologically related as a part of sequence of regular polyhedra and tilings with vertex figure 5n Finite Compact hyperbolic vte Paracompact nbsp 5 3 nbsp nbsp nbsp nbsp nbsp nbsp 5 4 nbsp nbsp nbsp nbsp nbsp nbsp 5 5 nbsp nbsp nbsp nbsp nbsp nbsp 5 6 nbsp nbsp nbsp nbsp nbsp nbsp 5 7 nbsp nbsp nbsp nbsp nbsp nbsp 5 8 nbsp nbsp nbsp nbsp nbsp nbsp 5 nbsp nbsp nbsp nbsp nbsp Paracompact uniform apeirogonal pentagonal tilings vteSymmetry 5 52 5 52 1 5 55 5 5 nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp 5 t 5 r 5 2t 5 t 5 2r 5 5 rr 5 tr 5 sr 5 h 5 h2 5 s 5 Uniform duals nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp V 5 V5 V5 5 V 10 10 V5 V4 5 4 V4 10 V3 3 5 3 V 5 5 V3 5 3 5 3 See also edit nbsp Wikimedia Commons has media related to Infinite order pentagonal tiling Pentagonal tiling Uniform tilings in hyperbolic plane List of regular polytopesReferences editJohn H Conway Heidi Burgiel Chaim Goodman Strauss 2008 Chapter 19 The Hyperbolic Archimedean Tessellations The Symmetries of Things ISBN 978 1 56881 220 5 H S M Coxeter 1999 Chapter 10 Regular honeycombs in hyperbolic space The Beauty of Geometry Twelve Essays Dover Publications ISBN 0 486 40919 8 LCCN 99035678 External links editWeisstein Eric W Hyperbolic tiling MathWorld Weisstein Eric W Poincare hyperbolic disk MathWorld Hyperbolic and Spherical Tiling Gallery Retrieved from https en wikipedia org w index php title Infinite order pentagonal tiling amp oldid 1189586417, wikipedia, wiki , book, books, library,
article , read, download, free, free download, mp3, video, mp4, 3gp, jpg, jpeg, gif, png, picture, music, song, movie, book, game, games.