A relevant link: Constructing a fair 3 sided coin. In particular, they mention John Von Neuman's argument of the
dimensions of a "fair" cylinder, but the argument is based on solid angle
only, and not dynamics.
Dr. Daniel B. Murray
Associate Professor
Physics
University of British Columbia Okanagan
Kelowna, BC, Canada V1V 1V7
Email me: cofrest "at" hotmail "dot" com
or
daniel "dot" murray "at" ubc "dot" ca