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About: List of k-uniform tilings     Goto   Sponge   NotDistinct   Permalink

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A k-uniform tiling is a tiling of tilings of the plane by convex regular polygons, connected edge-to-edge, with k types of vertices. The 1-uniform tiling include 3 regular tilings, and 8 semiregular tilings. A 1-uniform tiling can be defined by its vertex configuration. Higher k-uniform tilings are listed by their vertex figures, but are not generally uniquely identified this way. Other tilings of regular polygons that are not edge-to-edge allow different sized polygons, and continuous shifting positions of contact.