English

On Roli's Cube

Metric Geometry 2021-02-18 v1

Abstract

First described in 2014, Roli's cube R\mathcal{R} is a chiral 44-polytope, faithfully realized in Euclidean 44-space (a situation earlier thought to be impossible). Here we describe R\mathcal{R} in a new way, determine its minimal regular cover, and reveal connections to the M\"{o}bius-Kantor configuration.

Cite

@article{arxiv.2102.08796,
  title  = {On Roli's Cube},
  author = {Barry Monson},
  journal= {arXiv preprint arXiv:2102.08796},
  year   = {2021}
}
R2 v1 2026-06-23T23:15:00.798Z