One mathematician who’s got first-hand experience of the fascinating interplay between physics and geometry is  Shing-Tung Yau. In a new book called The shape of inner space (co-authored by Steve Nadis) Yau describes how the strange geometrical spaces he discovered turned out to be just what theoretical physicists needed in their attempt to build a theory of everything.  Plus met up with Yau on his recent visit to London, to find out more.

Source: Greenfield.pdf

Gary R. Greenfield
Department of Mathematics & Computer Science University of Richmond

I provide a brief survey documenting the inclusion of cellular automata, periodic tilings and op-art in mathematical art. Then I give an overview of the history of Turing-like patterns in mathematical art. I describe a cellular automaton for producing Turing-like patterns and introduce some new variations. This leads to an open problem concerning the convergence of such patterns.