What would be the name (if any) of a Torus which was octagonal in section and comprised of 20 short straight elements (giving it 160 facets), please?

This general class of shapes here is the “toroidal polyhedron” {Wikipedia} … looks like only a couple have formal names neither of which apply to yours …

Toroidal polyhedron of 160 sides … perhaps toroidal polyhedron 8x20 is more descriptive … best I can suggest is rely on context to explain the shape, and the listeners’/readers’ access to Wikipedia …

ETA: Note that a torus is *defined* as being a circle in cross section …

watchwolf; Thank you.