English

Platonicons: the Platonic solids start rolling

General Mathematics 2021-03-17 v2

Abstract

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 literally in their heart. We also describe the strong way in which the Platonicons circumscribe the Platonic solids.

Cite

@article{arxiv.2003.06253,
  title  = {Platonicons: the Platonic solids start rolling},
  author = {Katherine A. Seaton and David Hirsch},
  journal= {arXiv preprint arXiv:2003.06253},
  year   = {2021}
}

Comments

4 pages, 5 figures, submitted for Bridges Helsinki 2020; revised version after reviewing

R2 v1 2026-06-23T14:13:53.955Z