# Nowhere-Neat Tilings of the Plane

Nowhere-Neat Tilings of the Plane

If no two tiles in a (polygonal) tiling have a full side in common, the tiling is called nowhere-neat.

Related mathematical problems: to find nowhere-neat tilings of -gons with -gons and to find nowhere-neat tilings of the plane with only a few prototiles.

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The Demonstrations "Nowhere-Neat Tilings" and "Nowhere-Neat Squaring the Square" by the same author were dedicated to the first of these two problems.

This Demonstration deals with the latter case of covering the infinite plane in a nowhere-neat way while using only one or two prototiles. In fact, it only deals with tilings on the integral grid.

There are over 200 tilings shown in this Demonstration; maybe you can find a few more.