High Quality Content by WIKIPEDIA articles! In geometry, a toroidal polyhedron is a polyhedron with a genus of 1 or greater, representing topological torus surfaces. A special category of toroidal polyhedron are constructed exclusively by regular polygon faces, no intersections, and a further restriction that adjacent faces may not exist in the same plane. These are called Stewart Toroids, named after Professor Bonnie Stewart who explored their existence. Stewart also defined them as quasi-convex toroidal polyhedra if the convex hull created no new edges (i.e. the holes can be filled by single planar polygons).

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