A French mathematician has completed the classification of all convex pentagons, and therefore all convex polygons, that tile the plane. One of the oldest problems in geometry asks which shapes tile ...
The surprisingly simple tile is the first single, connected tile that can fill the entire plane in a pattern that never repeats — and can’t be made to fill it in a repeating way. In mid-November of ...
And it all began with a hobbyist “messing about and experimenting with shapes.” An “aperiodic monotile,” or einstein, is a shape that tiles an infinite flat surface in a nonrepeating pattern. The ...
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