The polycons: the sphericon (or tetracon) has found its family
History and Overview
2021-03-17 v3
Abstract
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, and their rolling behaviour is described and compared to that of other developable rollers such as the oloid and particular polysphericons. The paper concludes with a discussion of the polycons as stationary and kinetic works of art.
Keywords
Cite
@article{arxiv.1901.10677,
title = {The polycons: the sphericon (or tetracon) has found its family},
author = {David Hirsch and Katherine A. Seaton},
journal= {arXiv preprint arXiv:1901.10677},
year = {2021}
}
Comments
14 pages, 10 figures, submitted to Journal of Mathematics and the Arts