Spinning the Cube, Hyperboloid

####Spinning a Cube

What does it make when a cube spins around one of its long diagonals? Using 3D design, we can explore the space of a spinning cube in multiple ways. While the whole object is difficult to print without support or, at least, a raft, it can be sliced into two or three pieces for easy printing. The result is surprisingly beautiful.

Among the files are: (1) a 50mm cube with three axes of rotation and (2) two versions of a spinning cube: a 24-iteration one and a 60-iteration one, both of which are based on a 50mm cube. Multiple choices are included for 3D printing. A corresponding stand is also provided for exhibit.

####Note
The design and related discussions are part of an article in press for publication in the Mathematics Teacher Journal by the National Council of Teachers of Mathematics.