Cube Sphere

This CAD model was designed by Oskar van Deventer, copyright (c), xxx.

Cube Sphere is a newly-discovered geometry that I called. When working on the mechanism of Inka Cube I stumbled upon this geometry, where the distance of a layer N to the origin is proportional to sqrt(N). This geometry has the surprising property that all corners touch the surface of a sphere, for any number of layers that the geometry is extended to. At every point where cut-planes intersect, it is not two but three cut-planes that coincide there. Usually, twisty-puzzle designers try to avoid such coincidence, as pieces tend to jam as these points. For this puzzle, it is a feature. The mechanism has a 3x3x3 core, and the outer pieces hang to the edge and centers of that core. The "coincidence" geometry is maintained throughout the outer shell, eliminating the need for extra "shells" pieces inside.

Here are some links about this design.
https://www.youtube.com/watch?v=UAaxV_46rws
https://twistypuzzles.com/forum/viewtopic.php?t=40234
https://discord.com/channels/862052650208329739/862059972904091678

Feel free to 3D-print an extra sample to give to a friend, as long as you mention the designer and don't charge money.

If you are planning to sell some samples, then please contact me for a license agreement. The royalty fee is 10% of your selling price.

Please do not upload the design to a commercial service, or redistribute the design in any way other than linking to the YouTube video: https://www.youtube.com/watch?v=UAaxV_46rws

Enjoy!

Oskar
6 December 2025

Contact: 
https://oskarvandeventer.nl/index_contact.php?subject=Print%20It%20Yourself