They've done it. The mathematicians have finally done it.
If you enjoy the art of M. C. Escher, you have encountered tiling and tessellation: covering a surface with a repeating shapes. Mathematician Roger Penrose worked out a pair of simple shapes that form nonrepeating tiling patterns and have a number of interesting properties. The "kite" and "dart" are fascinating, four-sided shapes that combine in five-pointed stars and ten-sided figures. And their "quasi-crystal" formation has turned up in the real world: the super-slick non-stick ceramic coating of my new skillet and stewpot, for instance.
And now the high-level math types have come up with a single shape that does the same thing. Dubbed "the hat," the figure has thirteen sides and a hexagon lurks in the underlying structure. (Make up your own tabloid headline from all that.) No word on it creating inter-dimensional openings or having other magical properties -- or at least, not so far.
Update
1 week ago
1 comment:
I saw that a few days ago. Pretty neat.
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