Conway's Toroid with 36 Equilateral Triangular Faces

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The smallest known single-hole toroidal polyhedron made up of only equilateral triangles was found by Conway [1] and consists of 36 triangles. Some adjacent triangles are coplanar.

Contributed by: Izidor Hafner (July 2020)
Open content licensed under CC BY-NC-SA




[1] J. H. Conway. "RE: Polyhedra of Positive Genus." (Sep 23, 1997)

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