Invertible Cube, Hinged Version

thingiverse

####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