Cube Spinning, Cage, Hyperboloid

#### Spinning the Cube, Cage, Hyperboloid

The cube is a fascinating mathematical object. If you spin it around a major diagonal, you get a pretty hyperboloid in the middle (see my other design at https://www.thingiverse.com/thing:3015098). Simple as it seems, it is a mathematically rich problem (see Hibert & Cohn-Vossen, 1952). Indeed, what really matters is not the whole cube, but the three critical edges as shown in the figure (also included as a STL file). Therefore, we could take adv