Poly-Twistor by 3D printer: Classification of 3D Tori

Akio Hizume, Yoshikazu Yamagishi and Shoji Yotsutani
Proceedings of Bridges 2013: Mathematics, Music, Art, Architecture, Culture (2013)
Pages 555–558 Short Papers


Using 3D printing, we can manufacture forms called Poly-Twistors. These are knotted closed loops around the surface of either a torus or a polyhedron. Variants have handedness and can be parameterized using different integer winding frequencies.