On Roli's cube

Keywords: Regular and chiral polytopes, realizations of polytopes

Abstract

First described in 2014, Roli’s cube ℛ is a chiral 4-polytope, faithfully realized in Euclidean 4-space (a situation earlier thought to be impossible). Here we describe ℛ in a new way, determine its minimal regular cover, and reveal connections to the Möbius-Kantor configuration.

Published
2021-07-07
Section
The Marston Conder Issue of ADAM