Search results
There is a page named "Wythoff's construction" on Wikipedia
uniform polyhedron or plane tiling. It is often referred to as Wythoff's kaleidoscopic construction. The method is based on the idea of tiling a sphere, with...6 KB (551 words) - 18:30, 13 November 2023
Weisstein, Eric W. "Wythoff symbol". MathWorld. The Wythoff symbol Greg Egan's applet to display uniform polyhedra using Wythoff's construction method A Shadertoy...12 KB (682 words) - 08:08, 18 February 2024
doubled faces produced by Wythoff's construction. Most authors do not allow doubled faces and remove them as part of the construction. Double edges. Skilling's...66 KB (2,576 words) - 11:29, 27 June 2024
Icosidodecahedron (section Construction)ISBN 0-486-61480-8 (Chapter V: The Kaleidoscope, Section: 5.7 Wythoff's construction) Two Dimensional symmetry Mutations by Daniel Huson Read, R. C.;...14 KB (1,328 words) - 02:16, 29 June 2024
ISBN 978-0-500-34033-2. Coxeter, H.S.M. (1973). "V. The Kaleidoscope, §5.7 Wythoff's construction". Regular Polytopes (3rd ed.). Dover. ISBN 0-486-61480-8. Huson...16 KB (1,622 words) - 15:28, 8 March 2024- Polytopes (Third ed.). Dover. Chapter V: The Kaleidoscope, Section: 5.7 Wythoff's construction. ISBN 0-486-61480-8. Huson, Daniel H. (September 1998), Two Dimensional...32 KB (3,248 words) - 03:12, 18 July 2024
rr{6,3} or r { 6 3 } {\displaystyle r{\begin{Bmatrix}6\\3\end{Bmatrix}}} Wythoff symbol 3 | 6 2 Coxeter diagram Symmetry p6m, [6,3], (*632) Rotation symmetry...12 KB (928 words) - 14:00, 8 March 2024- Quasiregular polyhedron (section Wythoff construction)triangular faces. Coxeter defines a quasiregular polyhedron as one having a Wythoff symbol in the form p | q r, and it is regular if q=2 or q=r. The Coxeter-Dynkin...30 KB (1,484 words) - 18:07, 31 December 2023
- Sequences. OEIS Foundation. Coxeter, H. S. M. (1999). "Chapter 3: Wythoff's Construction for Uniform Polytopes". The Beauty of Geometry: Twelve Essays. Mineola...51 KB (5,418 words) - 06:59, 18 July 2024
of a hexagonal tiling, all generated from reflective symmetry of Wythoff constructions. The (h,k) represent the periodic repeat of one colored tile, counting...16 KB (1,286 words) - 23:15, 8 March 2024
4 21 polytope (section Construction and faces)2160-17280 facetted polyzetton (Jonathan Bowers) It is created by a Wythoff construction upon a set of 8 hyperplane mirrors in 8-dimensional space. The 240...38 KB (2,556 words) - 21:24, 7 July 2024
16-cell (section Helical construction)alternated form is a lower symmetry construction of the 16-cell called the demitesseract. Wythoff's construction replicates the 16-cell's characteristic...60 KB (7,175 words) - 18:12, 21 May 2024- Weisstein, Eric W. "Wythoff symbol". MathWorld. The Wythoff symbol Greg Egan's applet to display uniform polyhedra using Wythoff's construction method A Shadertoy...54 KB (752 words) - 06:22, 27 April 2024
Face configuration V4.4.4.4 (or V44) Schläfli symbol(s) {4,4} {∞}×{∞} Wythoff symbol(s) 4 | 2 4 Coxeter diagram(s) Symmetry p4m, [4,4], (*442) Rotation...9 KB (619 words) - 19:23, 23 March 2024
36) Face configuration V6.6.6 (or V63) Schläfli symbol(s) {3,6} {3[3]} Wythoff symbol(s) 6 | 3 2 3 | 3 3 | 3 3 3 Coxeter diagram(s) = Symmetry p6m, [6...10 KB (858 words) - 00:14, 8 July 2024
determined, but many can be made as Wythoff constructions from a small set of symmetry groups. These construction operations are represented by the permutations...92 KB (2,241 words) - 15:03, 6 April 2024
solids (but not the elongated square gyrobicupola) can be made via Wythoff constructions from the Platonic solids with tetrahedral, octahedral and icosahedral...26 KB (1,309 words) - 05:59, 3 November 2023
Semiregular tiling Vertex configuration 3.12.12 Schläfli symbol t{6,3} Wythoff symbol 2 3 | 6 Coxeter diagram Symmetry p6m, [6,3], (*632) Rotation symmetry...9 KB (745 words) - 20:10, 13 July 2024
List of uniform polyhedra by Schwarz triangle (redirect from Uniform star polyhedron/Uniform polyhedra by Wythoff construction)There are many relationships among the uniform polyhedra. The Wythoff construction is able to construct almost all of the uniform polyhedra from the acute...97 KB (2,757 words) - 17:54, 9 February 2024- Coxeter named this family as δn+1 for an n-dimensional honeycomb. A Wythoff construction is a method for constructing a uniform polyhedron or plane tiling...8 KB (297 words) - 15:56, 28 May 2023
- Wythoff constructions plural of Wythoff construction
- denser" claude tiling editor Tiling Bot by Roice Nelson draw the Wythoff construction of uniform tilings in hyperbolic plane EPINET = Euclidean Patterns