It’s arrived. 6 part Toroidal Polyhedron. Created by +Me , modeled in #lightwave3d by +Phil Nolan #3dprinting #shapeways with a 1 week turnaround from inception to receipt.
I hadn’t even considered connecting them like that.
@Phil_Nolan it’s the interesting part 
Now if you take the top 3 segments, twist 180 degrees, you have another kind of torus altogether… I’ll post a pic
Big momentum in this area.