Science
AI finds 3D shape that fills all space with a never-repeating pattern
In 2023, after decades of searching, mathematicians discovered a shape called “the hat” – so named for its passing resemblance to a fedora – that can tile a 2D surface without gaps and without ever creating a repeating pattern.
Summary
In 2023, after decades of searching, mathematicians discovered a shape called “the hat” – so named for its passing resemblance to a fedora – that can tile a 2D surface without gaps and without ever creating a repeating pattern. Now, a researcher has used AI to go one dimension better and discover a 3D shape that can do the same thing.
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