Thursday, March 30, 2023


      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.

1 comment:

Antibubba said...

I saw that a few days ago. Pretty neat.