Polycon

In geometry, a polycon is a kind of a developable roller. It is made of identical pieces of a cone whose apex angle equals the angle of an even sided regular polygon.[1][2] In principle, there are infinitely many polycons, as many as there are even sided regular polygons.[3] Most members of the family have elongated spindle like shapes. The polycon family generalizes the sphericon. It was discovered by the Israeli inventor David Hirsch in 2017[1]

  1. ^ a b Hirsch, David (2020). "The Polycons: The Sphericon (or Tetracon) has Found its Family". Journal of Mathematics and the Arts. 14 (4): 345–359. arXiv:1901.10677. doi:10.1080/17513472.2020.1711651. S2CID 119152692.
  2. ^ "Polycons". h-it.de. Heidelberg Institute for Theoretical Studies.
  3. ^ Seaton, K. A. "Platonicons: The Platonic Solids Start Rolling". Tessellations Publishing.