Search results
Results from the WOW.Com Content Network
The semiregular tilings form new tilings from their duals, each made from one type of irregular face. John Conway called these uniform duals Catalan tilings, in parallel to the Catalan solid polyhedra. Uniform tilings are listed by their vertex configuration, the sequence of faces that exist on each
k-uniform tilings with the same vertex figures can be further identified by their wallpaper group symmetry. 1-uniform tilings include 3 regular tilings, and 8 semiregular ones, with 2 or more types of regular polygon faces. There are 20 2-uniform tilings, 61 3-uniform tilings, 151 4-uniform tilings, 332 5-uniform tilings and 673 6-uniform tilings.
In geometry, many uniform tilings on sphere, euclidean plane, and hyperbolic plane can be made by Wythoff construction within a fundamental triangle, (p q r), defined by internal angles as π/p, π/q, and π/r. Special cases are right triangles (p q 2).
The {m/2, m} tilings are stellations of the {m, 3} tilings while the {m, m/2} dual tilings are facetings of the {3, m} tilings and greatenings [ii] of the {m, 3} tilings. The patterns { m /2, m } and { m , m /2} continue for odd m < 7 as polyhedra : when m = 5, we obtain the small stellated dodecahedron and great dodecahedron , [ 18 ] and when ...
This page was last edited on 5 November 2014, at 22:50 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may apply.
A given set of tiles, in the Euclidean plane or some other geometric setting, admits a tiling if non-overlapping copies of the tiles in the set can be fitted together to cover the entire space. A given set of tiles might admit periodic tilings — that is, tilings that remain invariant after being shifted by a translation (for example, a ...
T. Tetraheptagonal tiling; Tetrahexagonal tiling; Tetraoctagonal tiling; Tetrapentagonal tiling; Truncated infinite-order square tiling; Truncated infinite-order triangular tiling
From Wikipedia, the free encyclopedia. Redirect page. Redirect to: Euclidean tilings by convex regular polygons#Regular tilings; Retrieved from "https: ...