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Aperiodic tiling, in which shapes can fit together to create infinite patterns that never repeat, has fascinated mathematicians for decades, but until now no one knew if it could be done with just one shape Grey Wood Effect Porcelain Tiles
This single shape produces a pattern that never repeats David Smith, Joseph Myers, Chaim Goodman-Strauss and Craig S. Kaplan
This single shape produces a pattern that never repeats
David Smith, Joseph Myers, Chaim Goodman-Strauss and Craig S. Kaplan
Mathematicians have discovered a single shape that can be used to cover a surface completely without ever creating a repeating pattern. The long-sought shape is surprisingly simple but has taken decades to uncover – and could find uses in everything from material science to decorating.
Simple shapes such as squares and equilateral triangles can tile, or snugly cover a surface without gaps, in a repeating pattern that will be familiar to anyone who has stared at a bathroom wall. Mathematicians are interested in …
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