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On Roli's Cube

2021/02/17 by Barry Monson, Monson, Barry
Mathematics · #Advanced Combinatorial Mathematics #Geometric and Algebraic Topology #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2102.08796

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.

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