Geometrically, this "great" polyhedron has a polygonal base & sides which come to a common vertex
[DOC] [TLE] Polyhedron - Wikipedia [PAR] In elementary geometry, a polyhedron (plural polyhedra or polyhedrons) is a 
solid in three dimensions with flat polygonal faces, straight edges and sharp... [DOC] [TLE] Regular polyhedron - Wikipedia [PAR] A regular polyhedron is a polyhedron whose symmetry group acts transitively on 
its flags.