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 ...
Tiling a two-dimensional bathroom floor is a straightforward home renovation, but researchers have found that in higher dimensions it could blossom into a baffling mess of nonrepeating chaos. New ...
In a preprint posted in November, Greenfeld, along with Terence Tao of UCLA, finally settled the conjecture—but not in the way mathematicians had anticipated. They constructed a tile that can ...
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