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If no two tiles in a (polygonal) tiling have a full side in common, the tiling is called nowhere-neat. The challenge is to find all such tilings of the plane using only one or two prototiles. This Demonstration displays all known nowhere-neat tilings of the plane on the isometric (60 degree) grid and a few interesting nowhere-neat tilings of the plane that fit neither on the orthogonal nor on the isometric grid. The previous Demonstration on nowhere-neat tilings of the plane dealt with tilings that fit on the orthogonal grid (i.e. all the vertices have integral coordinates).
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