3-4-3-12 Tiling
In geometry of the Euclidean plane, the 3-4-3-12 tiling is one of 20 2-uniform tilings of the Euclidean plane by regular polygons, containing regular triangles, squares, and dodecagons, arranged in two vertex configuration: 3.4.3.12 and 3.12.12.Chavey (1989) The ''3.12.12'' vertex figure alone generates a truncated hexagonal tiling, while the ''3.4.3.12'' only exists in this 2-uniform tiling. There are 2 3-uniform tilings that contain both of these vertex figures among one more. It has square symmetry, p4m, ,4 (*442). It is also called a demiregular tiling by some authors. Circle Packing This 2-uniform tiling can be used as a circle packing. Cyan circles are in contact with 3 other circles (1 cyan, 2 pink), corresponding to the V3.122 planigon, and pink circles are in contact with 4 other circles (2 cyan, 2 pink), corresponding to the V3.4.3.12 planigon. It is homeomorphic to the ambo operation on the tiling, with the cyan and pink gap polygons corresponding to the cyan ...
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