2 papers
math.GM2020
Platonicons: the Platonic solids start rolling
Katherine A. Seaton, David Hirsch
We describe the construction of a new family of developable rollers based on the Platonic solids. In this way kinetic sculptures may be realised, with the Platonic solids quite lit…
math.HO2019
The polycons: the sphericon (or tetracon) has found its family
David Hirsch, Katherine A. Seaton
This paper introduces a new family of solids, which we call \textit{polycons}, which generalise the sphericon in a natural way. The static properties of the polycons are derived, a…