Fivefold: Never-Repeating Patterns

Patterns that never repeat: no two patches are the same, and they could go on forever. Fivefold is our family built on the number five: the tilings Roger Penrose discovered, the loops John Conway hid inside them, and the ribbons Nicolaas de Bruijn used to build them. The same order turns up in real quasicrystals.

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