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Snub square tiling information


Snub square tiling
Snub square tiling
Type Semiregular tiling
Vertex configuration
3.3.4.3.4
Schläfli symbol s{4,4}
sr{4,4} or
Wythoff symbol | 4 4 2
Coxeter diagram
or
Symmetry p4g, [4+,4], (4*2)
Rotation symmetry p4, [4,4]+, (442)
Bowers acronym Snasquat
Dual Cairo pentagonal tiling
Properties Vertex-transitive

In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. Its Schläfli symbol is s{4,4}.

Conway calls it a snub quadrille, constructed by a snub operation applied to a square tiling (quadrille).

There are 3 regular and 8 semiregular tilings in the plane.

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Snub square tiling

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In geometry, the snub square tiling is a semiregular tiling of the Euclidean plane. There are three triangles and two squares on each vertex. Its Schläfli...

Word Count : 595

Square tiling

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In geometry, the square tiling, square tessellation or square grid is a regular tiling of the Euclidean plane. It has Schläfli symbol of {4,4}, meaning...

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Cairo pentagonal tiling

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can tile the plane. Their tilings have varying symmetries; all are face-symmetric. One particular form of the tiling, dual to the snub square tiling, has...

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List of Euclidean uniform tilings

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          Hexagonal tiling – 3 colorings, all wythoffian     Trihexagonal tiling – 2 colorings, both wythoffian    Snub square tiling – 2 colorings, both...

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Snub tetrahexagonal tiling

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In geometry, the snub tetrahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,4}. Drawn in chiral pairs, with...

Word Count : 163

Snub tetraoctagonal tiling

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In geometry, the snub tetraoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,4}. Drawn in chiral pairs, with...

Word Count : 163

Snub tetraheptagonal tiling

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In geometry, the snub tetraheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{7,4}. Drawn in chiral pairs, with...

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List of mathematical shapes

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tilings Uniform tilings in hyperbolic plane Archimedean tiling Square tiling Triangular tiling Hexagonal tiling Truncated square tiling Snub square tiling...

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Snub octaoctagonal tiling

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In geometry, the snub octaoctagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{8,8}. Drawn in chiral pairs, with...

Word Count : 164

Truncated square tiling

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In geometry, the truncated square tiling is a semiregular tiling by regular polygons of the Euclidean plane with one square and two octagons on each vertex...

Word Count : 711

Elongated triangular tiling

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semiregular tilings in the plane. This tiling is similar to the snub square tiling which also has 3 triangles and two squares on a vertex, but in a different...

Word Count : 700

Snub hexahexagonal tiling

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In geometry, the snub hexahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,6}. Drawn in chiral pairs, with...

Word Count : 164

Square tiling honeycomb

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omnitruncated square tiling honeycomb (or omnisnub square tiling honeycomb), h(t0,1,2,3{4,4,3}), has snub square tiling, snub cube, triangular antiprism, square antiprism...

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Snub pentapentagonal tiling

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In geometry, the snub pentapentagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{5,5}, constructed from two regular...

Word Count : 173

Snub tetraapeirogonal tiling

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In geometry, the snub tetraapeirogonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{∞,4}. Drawn in chiral pairs, with...

Word Count : 151

Snub triapeirotrigonal tiling

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In geometry, the snub triapeirotrigonal tiling is a uniform tiling of the hyperbolic plane with a Schläfli symbol of s{3,∞}. John H. Conway, Heidi Burgiel...

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Cubic honeycomb

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rhombitrihexagonal tiling. A square symmetry projection forms two overlapping truncated square tiling, which combine together as a chamfered square tiling. The vertex...

Word Count : 3191

Snub pentahexagonal tiling

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In geometry, the snub pentahexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{6,5}. Drawn in chiral pairs, with...

Word Count : 144

Conway polyhedron notation

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= oQ Truncated square tiling tQ = bQ Tetrakis square tiling kQ = mQ Snub square tiling sQ Cairo pentagonal tiling gQ Hexagonal tiling H = dΔ = tΔ Trihexagonal...

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Snub heptaheptagonal tiling

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In geometry, the snub heptaheptagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of sr{7,7}, constructed from two regular...

Word Count : 164

Snub cube

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In geometry, the snub cube, or snub cuboctahedron, is an Archimedean solid with 38 faces: 6 squares and 32 equilateral triangles. It has 60 edges and 24...

Word Count : 951

Square antiprism

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octagonal antiprism. The square antiprism is first in a series of snub polyhedra and tilings with vertex figure 3.3.4.3.n. Square antiprismatic molecular...

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Wallpaper group

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one of the colorings of the snub square tiling (see also at pg) 4 co-uniform tiling (fractalization of snub square tiling) Orbifold signature: 333 Coxeter...

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Euclidean tilings by convex regular polygons

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4(3-1)-uniform [343.12; (3.122)3] tiling has a snub square lattice, and the 5(3-1-1)-uniform [334.12; 343.12; (3.12.12)3] tiling has an elongated triangular...

Word Count : 1987

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