I voted for the glome, but not just any old glome... I have in mind the Hopf fibration, of which the duocylinder is the simplest discrete version, but you can build bigger regular polytwisters out of it, that consist of n torus-shaped manifolds that wrap around each other in a swirling way. The biggest regular polytwister is probably the icosahedral polytwister, consisting of 20 triangular torus-like things that wrap around each other and close up into a ball.
You should see this thing in 4D, it's pretty impressive!