TRUNCATED SQUARE TILING

In geometry, the 'truncated square tiling' is a semiregular tiling of the Euclidean plane. There is one square and two octagons on each vertex. This is the only edge-to-edge tiling by regular convex polygons which contains an octagon. It has Schläfli symbol of ''t_0,1{4,4}''.
Other names used for this pattern include ''Mediterranean tiling'' and ''octagonal tiling''.
It is topologically related to the polyhedron truncated octahedron, 4.6.6
There are 3 regular and 8 semiregular tilings in the plane.
There are two distinct uniform colorings of a truncated square tiling. (Naming the colors by indices around a vertex (4.8.8): 122, 123.)

2 colors: 122

3 colors: 123

Contents

See also

References

External links

See also

★ Tilings of regular polygons

★ List of uniform tilings

References

★ Tilings and Patterns, Grünbaum, Branko ; and Shephard, G. C., , , W. H. Freeman, 1987, ISBN 0-716-71193-1 (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

★ http://www.decrete.com/stencils/octagontile