Zero-sum cycles in flexible non-triangular polyhedra
Metric Geometry
2022-05-24 v1 Algebraic Geometry
Combinatorics
Abstract
Finding necessary conditions for the geometry of flexible polyhedra is a classical problem that has received attention also in recent times. For flexible polyhedra with triangular faces, we showed in a previous work the existence of cycles with a sign assignment for their edges, such that the signed sum of the edge lengths along the cycle is zero. In this work, we extend this result to flexible non-triangular polyhedra.
Keywords
Cite
@article{arxiv.2108.08744,
title = {Zero-sum cycles in flexible non-triangular polyhedra},
author = {Matteo Gallet and Georg Grasegger and Jan Legerský and Josef Schicho},
journal= {arXiv preprint arXiv:2108.08744},
year = {2022}
}
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9 pages