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Cube Spinning, Cage, Hyperboloid  – 3D printable model from Thingiverse Thingiverse

Cube Spinning, Cage, Hyperboloid

by lgbu
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#### 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 advantage of 3D design techniques to make a simple version, hence the cube cage.

It is hard to print the whole thing (included, though). However, we could slice the object into two congruent halves for printing. With a few drop of super glue, we could assemble the whole thing. A stand is also included for holding the cube cage for exhibit.

#### Notes
The cube cage half prints well without a raft on my printer. However, when bed adhesion is a problem, please consider use a thicker f
Source
Thingiverse
What you need to print this: Intermediate Low confidence
Single piece
Supports 1/3
Assembly 0/3
Settings 1/3
Bed size 0/3
Post-process 1/3
Printer
FDM / FFF
File format
STL
Material
Post-processing
Gluing
Software
Cura, PrusaSlicer, or similar
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