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 ...
One of the oldest and simplest problems in geometry has caught mathematicians off guard—and not for the first time. Since antiquity, artists and geometers have wondered how shapes can tile the entire ...
Earlier this spring, tiling aficionados thought maybe they’d found the shape of their dreams. Now they’re certain. By Siobhan Roberts In March, a team of mathematical tilers announced their solution ...
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