Requires 60 connectors and 120 popsicle sticks to make.
https://en.wikipedia.org/wiki/Rhombicosidodecahedron
Related:
Another connector idea to make a really large torus with this same shape is:
https://math.stackexchange.com/questions/3094114/comparing-regular-faced-toroidal-polyhedra
The author marked this model as their own original creation.