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Thursday, May 30, 2019
6:00 PM - 7:00 PM
Linde Hall 387

Postdoctoral Math Seminar

Penrose tilings of compact surfaces
Peter Smillie, Department of Mathematics, Caltech,

I'll give two approaches - one combinatorial and one geometric - to constructing tilings of compact surfaces by rhombuses glued according to Penrose's matching rules. Frustratingly, neither approach is yet robust enough to decide whether such tilings are common (polynomial in the number of tiles, like triangulations) or rare (logarithmic in the number of tiles).

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