- Elongated triangular tiling
In

geometry , the**elongated triangular tiling**is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex.Conway calls it a

**isosnub quadrille**.There are 3 regular and 8 semiregular tilings in the Euclidean plane.

This tiling is related to the

snub square tiling which also has 3 triangles and two squares on a vertex, but in a different order.This is also the only

uniform tiling that can't be created as aWythoff construction . It can be constructed as alternate layers ofapeirogonal prism s andapeirogonal antiprism s.There is only one

uniform coloring of an elongated triangular tiling. (Naming the colors by indices around a vertex (3.3.3.4.4): 11122.) A second nonuniform coloring 11123 also exists. The coloring shown is a mixture of 12134 and 21234 colorings.**ee also***

Tilings of regular polygons **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. p37**External links***

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