Charles Radin
GLOBAL ORDER FROM LOCAL SOURCES
(70K, TeX)
ABSTRACT. This article contains introductions to three open problems of
significant research interest, the sphere packing problem from number
theory, the tiling problem from logic, and the crystal problem from
condensed matter physics. All three problems will be shown to have at
their core special cases of one simply-stated optimization problem.
Our goal is to use the intuition gained from these three perspectives
to direct attention to this common core. We will also show that
some of the tools developed in the separate problems are of real value
in the others.