A 3D prism is a polygon × a line segment. One dimension up you can take a polygon × a whole other polygon: a p-gon spinning in one plane, a q-gon in the plane perpendicular to it — planes that share only a single point, which is impossible in 3D.
Left: the projected wireframe — one ring of p-sided prisms meets a ring of q-sided prisms. Right: its slice. Every vertex lies on the Clifford torus, the perfectly flat donut that only exists in 4D.
Push p and q up to 32: the shape smooths into the duocylinder, whose surface is two interlocking solid rings. Set the two spins equal — the motion becomes a Clifford displacement, gliding the whole shape along itself.