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We show an explicit construction in 3 dimensions for a convex,mono-monostatic polyhedron (i.e., having exactly one stable and one unstableequilibrium) with 21 vertices and 21 faces. This polyhedron is a 0-skeleton,with equal masses located at each vertex. The above construction serves as anupper bound for the minimal number of faces and vertices of mono-monostatic0-skeletons and complements the recently provided lower bound of 8 vertices.This is the first known construction of a mono-monostatic polyhedral solid. Wealso show that a similar construction for homogeneous distribution of masscannot result in a mono-monostatic solid.

Conway's spiral and a discrete G\"omb\"oc with 21 point masses