Szilassi Polyhedron
A Polyhedron which is topologically equivalent to a Torus and for which every pair of faces has anEdge in common. This polyhedron was discovered by L. Szilassi in 1977. Its Skeleton isequivalent to the seven-color torus map illustrated below.
The Szilassi polyhedron has 14 Vertices, seven faces, and 21 Edges, and is the Dual Polyhedron of the Császár Polyhedron.
See also Császár Polyhedron, Toroidal Polyhedron
References
Eppstein, D. ``Polyhedra and Polytopes.''http://www.ics.uci.edu/~eppstein/junkyard/polytope.html. Gardner, M. Fractal Music, Hypercards, and More Mathematical Recreations from Scientific American Magazine. New York: W. H. Freeman, pp. 118-120, 1992. Hart, G. ``Toroidal Polyhedra.'' http://www.li.net/~george/virtual-polyhedra/toroidal.html.
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