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The minimal non-fullerene Voronoi polyhedra. (English) Zbl 0846.05089
Summary: When placing $$n$$ points uniformly on a sphere their associated Voronoi regions define a polyhedron that is for most $$n$$ a fullerene. In this paper the exceptional minimal non-fullerene polyhedra are discussed.

##### MSC:
 05C90 Applications of graph theory 52B99 Polytopes and polyhedra 68U05 Computer graphics; computational geometry (digital and algorithmic aspects)
##### Keywords:
Voronoi regions; polyhedron; fullerene; non-fullerene polyhedra