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This 2-uniform tiling can be used as a circle packing.Cyan circles are in contact with 3 other circles (2 cyan, 1 pink), corresponding to the V4.6.12 planigon, and pink circles are in contact with 4 other circles (1 cyan, 2 pink), corresponding to the V3.4.6.4 planigon.
Uniform colorings. There are a total of 32 uniform colorings of the 11 uniform tilings: Triangular tiling – 9 uniform colorings, 4 wythoffian, 5 nonwythoffian. Square tiling – 9 colorings: 7 wythoffian, 2 nonwythoffian. Hexagonal tiling – 3 colorings, all wythoffian. Trihexagonal tiling – 2 colorings, both wythoffian.
Euclidean tilings are usually named after Cundy & Rollett’s notation. [1] This notation represents (i) the number of vertices, (ii) the number of polygons around each vertex (arranged clockwise) and (iii) the number of sides to each of those polygons. For example: 3 6; 3 6; 3 4.6, tells us there are 3 vertices with 2 different vertex types ...
Rhombitrihexagonal tiling. In geometry, the 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 rr {3,6}. John Conway calls it a rhombihexadeltille. [1]
Domino tiling. In geometry, a domino tiling of a region in the Euclidean plane is a tessellation of the region by dominoes, shapes formed by the union of two unit squares meeting edge-to-edge. Equivalently, it is a perfect matching in the grid graph formed by placing a vertex at the center of each square of the region and connecting two ...
The regular map {6,4} 3 or {6,4} (4,0) can be seen as a 4-coloring on the {6,4} tiling. It also has a representation as a petrial octahedron, {3,4} π, an abstract polyhedron with vertices and edges of an octahedron, but instead connected by 4 Petrie polygon faces. Related polyhedra and tiling
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Order-6 tetrakis square tiling. Properties. Vertex-transitive. In geometry, the truncated order-4 hexagonal tiling is a uniform tiling of the hyperbolic plane. It has Schläfli symbol of t {6,4}. A secondary construction tr {6,6} is called a truncated hexahexagonal tiling with two colors of dodecagons .