Cube Spinning, Cage, Hyperboloid

cults3d

Spinning the Cube, Cage, Hyperboloid The hyperboloid is a captivating mathematical shape that emerges when spinning the cube around a major diagonal. This seemingly simple concept actually presents a mathematically complex problem, as noted by Hibert and Cohn-Vossen in their 1952 publication, Geometry and the Imagination. What truly matters here is not the entire cube, but rather the three pivotal edges depicted in the figure provided. By leveraging 3D design techniques, we can create a simplified version of the cube cage, as demonstrated by taking advantage of these critical edges. Printing the entire structure can be challenging, which is why it's often necessary to slice the object into two identical halves for successful printing. Once assembled with a few drops of super glue, the whole cube cage comes together seamlessly. A stand is also included to securely hold the cube cage in place, ideal for display purposes. Notes Printing the cube cage without a raft works well on my printer, but I've encountered issues with bed adhesion. To overcome this problem, consider using thicker first layers or even a raft to ensure successful printing. Have fun! References Bu, L. (2018) https://www.thingiverse.com/thing:3015098 Hilbert, David, and S. Cohn-Vossen.1952. Geometry and the Imagination. Translated by P. Nemenyi. New York, NY: Chelsea Publishing Company