Optimal Tiles by Prof. Frank Morgan, Faculty Colloquium, Friday, September 13

Fri, September 13th, 2019
1:00 pm - 1:45 pm

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Optimal Tiles by Prof. Frank Morgan, Faculty Colloquium, today, 1 – 1:45 pm, Stetson Court Classroom 105

Abstract:  In 2001 Thomas Hales proved that regular hexagons provide the least-perimeter way to tile the plane with unit areas. What is the best pentagonal tile? What about the hyperbolic plane, where the regular hexagon doesn’t tile, but regular k-gons do for all k > 6?  The talk will include some recent results by undergraduates.

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