Regular Polygonal Complexes of Higher Ranks in E^3
Metric Geometry
2014-03-04 v1 Combinatorics
Abstract
The paper establishes that the rank of a regular polygonal complex in 3-space E^3 cannot exceed 4, and that the only regular polygonal complexes of rank 4 in 3-space are the eight regular 4-apeirotopes.
Cite
@article{arxiv.1403.0251,
title = {Regular Polygonal Complexes of Higher Ranks in E^3},
author = {Egon Schulte},
journal= {arXiv preprint arXiv:1403.0251},
year = {2014}
}