Question from Wigderson
June-13-09
6:32 PM
Date: Sat, 13 Jun 2009 18:25:07 -0400
From: Avi Wigderson <avi@ias.edu>
To: Dror Bar-Natan <drorbn@math.toronto.edu>
Subject: Re: MathCamp
PS I noticed you (or your homepage) like tiles.
I was recently involved with the following, on which you can test yourgeometric intuition:
you want to tile R^d periodically according to the lattice Z^d. What is theminimum surface area of the tile.
It is certainly between that of the (unit volume) sphere and cube, namely (up
to constants)  between \sqrt{d} and d.
What do you think is the (asymptotic) truth?
Ciao, Avi