Some Regular Toroids

Lajos Szilassi
Bridges Leeuwarden: Mathematics, Music, Art, Architecture, Culture (2008)
Pages 459–460


We present examples of polyhedra homeomorphic to a torus such that all of their faces are planar polygons with the same number of sides and all of their vertices are incident to the same number of edges. Neither the faces nor the polyhedra are self-intersecting. We call them regular toroids. Because of their combinatorial regularity, these structures may be attractive to people who find beauty in geometric patterns.