Images edit Drawn in chiral pairs, with edges missing between black triangles:
Dual tiling edit The dual is called an order-5-4 floret pentagonal tiling , defined by face configuration V3.3.4.3.5.
Related polyhedra and tiling edit The snub tetrapentagonal tiling is fourth in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n .
Uniform pentagonal/square tilings Symmetry: [5,4], (*542) [5,4]+ , (542) [5+ ,4], (5*2) [5,4,1+ ], (*552) {5,4} t{5,4} r{5,4} 2t{5,4}=t{4,5} 2r{5,4}={4,5} rr{5,4} tr{5,4} sr{5,4} s{5,4} h{4,5} Uniform duals V54 V4.10.10 V4.5.4.5 V5.8.8 V45 V4.4.5.4 V4.8.10 V3.3.4.3.5 V3.3.5.3.5 V55
See also edit
Wikimedia Commons has media related to Uniform tiling 3-3-4-3-5 .
References edit John H. Conway , Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things 2008, ISBN 978-1-56881-220-5 (Chapter 19, The Hyperbolic Archimedean Tessellations)"Chapter 10: Regular honeycombs in hyperbolic space". The Beauty of Geometry: Twelve Essays . Dover Publications. 1999. ISBN 0-486-40919-8 LCCN 99035678. External links edit Weisstein, Eric W. "Hyperbolic tiling". MathWorld Weisstein, Eric W. "Poincaré hyperbolic disk". MathWorld Hyperbolic and Spherical Tiling Gallery KaleidoTile 3: Educational software to create spherical, planar and hyperbolic tilings Hyperbolic Planar Tessellations, Don Hatch
snub, tetrapentagonal, tiling, poincaré, disk, model, hyperbolic, plane, type, hyperbolic, uniform, tiling, vertex, configuration, schläfli, symbol, displaystyle, begin, bmatrix, bmatrix, wythoff, symbol, coxeter, diagram, symmetry, group, dual, order, floret,. Snub tetrapentagonal tiling Poincare disk model of the hyperbolic plane Type Hyperbolic uniform tiling Vertex configuration 3 3 4 3 5 Schlafli symbol sr 5 4 or s 5 4 displaystyle s begin Bmatrix 5 4 end Bmatrix Wythoff symbol 5 4 2 Coxeter diagram or Symmetry group 5 4 542 Dual Order 5 4 floret pentagonal tiling Properties Vertex transitive Chiral In geometry the snub tetrapentagonal tiling is a uniform tiling of the hyperbolic plane It has Schlafli symbol of sr 5 4 Contents 1 Images 2 Dual tiling 3 Related polyhedra and tiling 4 See also 5 References 6 External linksImages editDrawn in chiral pairs with edges missing between black triangles nbsp nbsp Dual tiling editThe dual is called an order 5 4 floret pentagonal tiling defined by face configuration V3 3 4 3 5 nbsp Related polyhedra and tiling editThe snub tetrapentagonal tiling is fourth in a series of snub polyhedra and tilings with vertex figure 3 3 4 3 n 4n2 symmetry mutations of snub tilings 3 3 4 3 n vte Symmetry4n2 Spherical Euclidean Compact hyperbolic Paracomp 242 342 442 542 642 742 842 42 Snubfigures nbsp nbsp nbsp nbsp nbsp nbsp nbsp nbsp Config 3 3 4 3 2 3 3 4 3 3 3 3 4 3 4 3 3 4 3 5 3 3 4 3 6 3 3 4 3 7 3 3 4 3 8 3 3 4 3 Gyrofigures nbsp nbsp nbsp nbsp Config V3 3 4 3 2 V3 3 4 3 3 V3 3 4 3 4 V3 3 4 3 5 V3 3 4 3 6 V3 3 4 3 7 V3 3 4 3 8 V3 3 4 3 Uniform pentagonal square tilings vte Symmetry 5 4 542 5 4 542 5 4 5 2 5 4 1 552 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 4 t 5 4 r 5 4 2t 5 4 t 4 5 2r 5 4 4 5 rr 5 4 tr 5 4 sr 5 4 s 5 4 h 4 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 V54 V4 10 10 V4 5 4 5 V5 8 8 V45 V4 4 5 4 V4 8 10 V3 3 4 3 5 V3 3 5 3 5 V55See also edit nbsp Wikimedia Commons has media related to Uniform tiling 3 3 4 3 5 Square tiling Tilings of regular polygons List of uniform planar tilings List of regular polytopesReferences editJohn H Conway Heidi Burgiel Chaim Goodman Strauss The Symmetries of Things 2008 ISBN 978 1 56881 220 5 Chapter 19 The Hyperbolic Archimedean Tessellations Chapter 10 Regular honeycombs in hyperbolic space The Beauty of Geometry Twelve Essays Dover Publications 1999 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 KaleidoTile 3 Educational software to create spherical planar and hyperbolic tilings Hyperbolic Planar Tessellations Don Hatch Retrieved from https en wikipedia org w index php title Snub tetrapentagonal tiling amp oldid 1189601996 Dual tiling, 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.