Counting Frameworks of Bipyramids
Combinatorics
2026-01-27 v4 Metric Geometry
Abstract
We give a linear upper bound on the number of distinct volume-equivalent frameworks of bipyramids, up to rigid motions. As a corollary, we show that global volume rigidity is not a generic property of simplicial complexes.
Cite
@article{arxiv.2301.04394,
title = {Counting Frameworks of Bipyramids},
author = {Jack Southgate},
journal= {arXiv preprint arXiv:2301.04394},
year = {2026}
}
Comments
16 pages, 5 figures