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Rearrange the given tiles to create a nowhere-neat tiling of the given gray area. If no two tiles in a tiling have a full side in common, the tiling is called nowhere-neat. Mathematical problems are to find nowhere-neat tilings of ... -gons with ... -gons, and to find nowhere-neat tilings of the plane with only a few prototiles. For this Demonstration only a small selection of nowhere-neat tilings of triangles, squares and rectangles has been selected and they are presented as puzzles. Nowhere-neat tilings of squares with squares and nowhere-neat tilings of the plane are dealt with by other demonstrations.
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