Summary: Spherical Cubes and Rounding in High Dimensions
Guy Kindler
Weizmann Institute
guy.kindler@weizmann.ac.il
Ryan O'Donnell
Carnegie Mellon University
odonnell@cs.cmu.edu
Anup Rao
Institute for Advanced Study
arao@ias.edu
Avi Wigderson
Institute for Advanced Study
avi@math.ias.edu
June 16, 2009
Abstract
What is the least surface area of a shape that tiles Rd
under translations by Zd
? Any such shape must
have volume 1 and hence surface area at least that of the volume-1 ball, namely (

Source: Anderson, Richard - Department of Computer Science and Engineering, University of Washington at Seattle

Collections: Computer Technologies and Information Sciences