Centre for Computational and Discrete Geometry
University of Calgary
Colloquium
Jan 26 2012 - 2:00pm
Jan 26 2012 - 3:00pm
Speaker:
Karoly BezdekLocation:
MS 431On a strong version of the Kepler conjecture via convex foams
We raise and investigate the following problem that one can regard as a very close relative of the densest sphere packing problem. If the Euclidean 3-space is partitioned into convex cells each containing a unit ball, how should the shapes of the cells be designed to minimize the average surface area of the cells? In particular, we prove that the average surface area in question is always at least 13.8564....