POLYCONS

Sphericon

Animation: Tadeusz E. Dorozinski

HEXACON

Animation: Alex Lipson

Animation: Yakov Beznos

Polycons are a family of developable rollers that I discovered in 2017 (it preceded the discovery of the Platonicon family later that year). In fact, I discovered the family’s first member, the tetracon (or sphericon) many years ago (published in 1980).  Besides the polycons three developable roller families have been described to date: the poly- sphericons, the convex-hulls of the Two-Disc Rollers (TDR convex-hulls) and the platonicons..

Published in the Journal of Mathematics and Art

Selected for the 2019 Bridges Conference film festival