Cube Spinning, Cage, Hyperboloid

thingiverse

The hyperboloid is a captivating mathematical shape. When you spin it around a major diagonal, you get a pretty cube in the middle (see my other design at https://www.thingiverse.com/thing:3015098). Simple as it seems, it is a mathematically complex problem (see Cohn-Vossen & Hilbert, 1952). Indeed, what really matters is not the whole hyperboloid, but the three critical edges as shown in the figure (also included as a STL file). Therefore, we could take advantage of 3D design techniques to make a simple version, hence the cube cage. It's difficult to print the entire thing (included, though). However, we could slice the object into two congruent halves for printing. With a few drops of super glue, we could assemble the whole thing. A stand is also included for holding the cube cage for exhibit. The cube cage half prints well without a raft on my printer. However, when bed adhesion is a problem, please consider using thicker first layers or even a raft. Have fun! 1. Cohn-Vossen, S., & Hilbert, D. (1952) https://www.thingiverse.com/thing:3015098