Invertible Cube, Hinged Version

####Paul Schatz’s Invertible Cube, Hinged Version

Edge Length 75 mm

Schatz’s Invertible cube is simple and mathematically appealing. I wanted to add some hinges and make a long-lasting model, to be printed with PLA. Well, I managed to add the hinges but had a lot of trouble, trying to figure out a way to print it in one piece. With enough support and/or 3D manipulations, it is possible to print it on a good printer. However, I have not had much luck. I will upload the file and leave the challenge to other creative minds.

Meanwhile, I decided to slice it using the hexagonal plane within the cube. Big surprise! I got six pairs that are essentially the same. So one can print six copies and GLUE them together. To help with alignment, I added a square pin. Using the tight version of pins, one can just snap the pieces together for an invertible cube. Of course, a few drop of glue will help in the long run. And the pins are optional if you have some good glue.

#####To make an invertible cube, you need

1) Six copies of the hinged pair,
2) Six pins (tight or loose)
3) Super glue or whatever glue you like (Be safe!)

References

1. Schatz, Paul (2013). The study of rhythms and technology : the evertible cube : polysomatic form-finding (4th Ed., P. Carline, Trans.). Niggli Verlag.
2. Kaleidocycles. http://www.mathematische-basteleien.de/kaleidocycles.htm
3. https://mathcurve.com/surfaces.gb/orthobicycle/orthobicycle.shtml
4. https://truespring.wordpress.com/2013/02/14/who-was-paul-schatz/
5. https://www.thingiverse.com/thing:5083826

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