Skeletal Geometric Complexes and Their Symmetries
Metric Geometry
2016-10-11 v1 Combinatorics
Abstract
Skeletal polyhedra and polygonal complexes are finite or infinite periodic structures in 3-space with interesting geometric, combinatorial, and algebraic properties. These structures can be viewed as finite or infinite periodic graphs (nets) equipped with a polyhedral superstructure imposed by the faces, allowed to be skew, zigzag, or helical. The article describes skeletal structures with maximal symmetry.
Cite
@article{arxiv.1610.02619,
title = {Skeletal Geometric Complexes and Their Symmetries},
author = {Egon Schulte and Asia Ivić Weiss},
journal= {arXiv preprint arXiv:1610.02619},
year = {2016}
}
Comments
to appear in Mathematical Intelligencer. arXiv admin note: text overlap with arXiv:1403.0045