Nowhere-Neat Tilings of the Plane, Part 2

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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.

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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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Contributed by: Karl Scherer (March 2011)
Open content licensed under CC BY-NC-SA


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