Proceedings of Bridges 2015: Mathematics, Music, Art, Architecture, Culture (2015)

Pages 383–386 Short Papers

In 1994, John Conway and Charles Radin created a non-periodic
** Pinwheel Tiling** of the plane using only 1 by 2 right
triangles. By selectively painting either every fifth triangle or
two out of every five triangles, based only upon their location in
the next larger triangle, one can discern 15 unexpected and distinctive
patterns. Each of these patterns retains the non-periodic nature
of the original tiling.

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