Conway's Toroid with 36 Equilateral Triangular Faces
The smallest known single-hole toroidal polyhedron made up of only equilateral triangles was found by Conway  and consists of 36 triangles. Some adjacent triangles are coplanar.
 J. H. Conway. "RE: Polyhedra of Positive Genus." (Sep 23, 1997) groups.google.com/group/geometry.research/msg/70178885eb20c524.