Solutions for 24 and 32 face single polygon toroid have been given. Is there a solution for the next step of a 40 face single polygon toroid?
Is there a simpler single polygon toroid?
The opening on the 24 face toroid is an equilateral triangle. The opening on the 32 face toroid is a regular square. It seems there should be a 40 face single polygon toroid with a regular pentagonal opening.
A simple google search with the title of this post brings up this very post on first place and a solution with 48 triangles on the second.
--- rk