Optimal Partitions and Tiles

Seminar: 
Colloquium
Event time: 
Wednesday, February 19, 2020 - 4:15pm
Location: 
LOM 215
Speaker: 
Frank Morgan
Speaker affiliation: 
Williams College
Event description: 

Abstract: In 2000 Thomas Hales proved that regular hexagons provide the least-perimeter way to partition the plane into unit areas. What are the best pentagons? What about the sphere or hyperbolic space? What about higher dimensions?