Petrie-Coxeter Maps Revisited
classification
🧮 math.MG
math.CO
keywords
chiralpolyhedraabstractmapspetrie-coxeterpolytopesself-dualanalogues
read the original abstract
This paper presents a technique for constructing new chiral or regular polyhedra (or maps) from self-dual abstract chiral polytopes of rank 4. From improperly self-dual chiral polytopes we derive "Petrie-Coxeter-type" polyhedra (abstract chiral analogues of the classical Petrie-Coxeter polyhedra) and investigate their groups of automorphisms.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.