Sphericon Models, Starting from a Square or a Circle

cults3d

Sphericon Models, Starting from a Square or a Circle The sphericon is a simple yet fascinating mathematical structure that is worth playing with using design technologies. It can be constructed (or developed) from a square or a circle, with a twist in both cases. In the present design, I added a square pin to connect the two half-cone pieces so that, with a 90-degree twist, one can demonstrate the simplicity of the idea. Alternatively, I added a connector arm to the semicircle so that two semicircles will lock into each other for a circle-based model. Both models roll smoothly on a table surface. Of course, a drop of glue will allow the two pieces stay tight. Have fun and print and share! ####Among the Files Half double-cone, with a base radius of 25mm and 50mm, respectively. Semicircle, with a radius of 25mm and 50mm, respectively. Two pins (for the 25mm and 50mm version, respectively). ####References 1. http://www.ams.org/publicoutreach/feature-column/fcarc-sphericon1 2. https://en.wikipedia.org/wiki/Oloid 3. https://old.nationalcurvebank.org/sphericon/sphericon.htm 4. https://en.wikipedia.org/wiki/Sphericon