Kaleidopenta - How can this kinetic art exist in practice, but not in theory?
Channel: OskarPuzzle
Date: 2021-02-20

More OskarPuzzle at https://www.youtube.com/OskarPuzzle?sub_confirmation=1. Print it yourself at https://oskarvandeventer.nl/Print-It-Yourself/. Buy at https://i.materialise.com/en/shop/item/kaleidopenta or at https://www.shapeways.com/product/VJK9QZXST/kaleidopenta. Kaleidopenta is an impossible piece of kinetic art. It consists of five identical rods that has axes at each end that are orthogonal to the rod and turned 50 degrees to each other. The object can be turned inside-out infinitely. It is an impossible object, as the ends don't fit together, and some force and flex is needed to make them fit. The motion is related to the Kaleidocycle. I made a five-piece paper version in the 1980's. I thought that it would be nice to have a 3D-printed version too.

Fundamental question: is there a non-trivial working solution for a five-axes kinetic sculpture with continuous rotation like Kaleidopenta? (One trivial solution would be to have all axes parallel.)

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