Small rhombitrihexagonal tiling
- Small rhombitrihexagonal tiling
In geometry, the small rhombitrihexagonal tiling (or just " rhombitrihexagonal tiling") is a semiregular tiling of the Euclidean plane. There are one triangle, two squares, and one hexagon on each vertex. It has Schläfli symbol of "t0,2{3,6}".
Conway calls it a rhombihexadeltille.
There are 3 regular and 8 semiregular tilings in the plane.
This tiling is topologically related as a part of sequence of cantellated polyhedra with vertex figure (3.4.n.4), and continues as tilings of the hyperbolic plane. These vertex-transitive figures have (*n32) reflectional symmetry.
There is only one uniform colorings in a small rhombitrihexagonal tiling. (Naming the colors by indices around a vertex (3.4.6.4): 1232.)
See also
* Tilings of regular polygons
* List of uniform tilings
References
* (Chapter 2.1: "Regular and uniform tilings", p.58-65)
* Williams, Robert "The Geometrical Foundation of Natural Structure: A Source Book of Design" New York: Dover, 1979. p40
External links
*
*
Wikimedia Foundation.
2010.
Look at other dictionaries:
Small rhombitriheptagonal tiling — In geometry, the Small rhombitriheptagonal tiling is a semiregular tiling of the hyperbolic plane. There is one triangles, one hexagon, alternating between two squares on each vertex. It has Schläfli symbol of t0,2{7,3} .The image shows a… … Wikipedia
Liste Des Polyèdres Uniformes — Les polyèdres uniformes et les pavages forment un groupe bien étudié. Ils sont listés ici pour une comparaison rapide de leurs propriétés et de leurs noms de schéma variés ainsi que de leurs symboles. Cette liste inclut : tous les 75… … Wikipédia en Français
Liste des polyedres uniformes — Liste des polyèdres uniformes Les polyèdres uniformes et les pavages forment un groupe bien étudié. Ils sont listés ici pour une comparaison rapide de leurs propriétés et de leurs noms de schéma variés ainsi que de leurs symboles. Cette liste… … Wikipédia en Français
List of mathematics articles (S) — NOTOC S S duality S matrix S plane S transform S unit S.O.S. Mathematics SA subgroup Saccheri quadrilateral Sacks spiral Sacred geometry Saddle node bifurcation Saddle point Saddle surface Sadleirian Professor of Pure Mathematics Safe prime Safe… … Wikipedia
Kensington (game) — Kensington is a board game devised by Brian Taylor and Peter Forbes in 1979, named after an affluent borough of London. It is played on a geometrical board based on the small rhombitrihexagonal tiling, as shown below.The two players, red and blue … Wikipedia
Rhombitriangular-hexagonal prismatic honeycomb — The rhombitriangular hexagonal prismatic honeycomb is a space filling tessellation (or honeycomb) in Euclidean 3 space. It is comprised of hexagonal prisms, cubes, and triangular prisms in a ratio of 1:3:2.It is constructed from a small… … Wikipedia
Teselado regular — Un teselado regular, teselación regular o teselado con polígonos regulares es una teselación o teselado del plano que emplea un solo tipo de polígonos regulares,[1] que ha sido ampliamente utilizada desde la antigüedad. Solo son posibles… … Wikipedia Español
