Analytical Gomboc
Investigation of the mathematical requirements for a three dimensional geometrical object to qualify as a Gomboc (mono-monostatic) has resulted in the discovery of two specific, analytical Gomboc shapes. Analytical in that the function describing the Gomboc surface is infinitely differentiable. In this brief note, the analysis undertaken is summarized and the formulae for the two specific shapes provided.
math.MG↗