A Note on Toroidal Maxwell-Cremona Correspondences

Autor:	Lin, Patrick
Rok vydání:	2020
Předmět:	Mathematics - Metric Geometry Computer Science - Computational Geometry 52C25 05C10
Druh dokumentu:	Working Paper
Popis:	We explore toroidal analogues of the Maxwell-Cremona correspondence. Erickson and Lin [arXiv:2003.10057] showed the following correspondence for geodesic torus graphs $G$: a positive equilibrium stress for $G$, an orthogonal embedding of its dual graph $G^*$, and vertex weights such that $G$ is the intrinsic weighted Delaunay graph of its vertices. We extend their results to equilibrium stresses that are not necessarily positive, which correspond to orthogonal drawings of $G^*$ that are not necessarily embeddings. We also give a correspondence between equilibrium stresses and parallel drawings of the dual. Comment: 9 pages, 4 figures. The correct title uses en-dashes (which arXiv does not support) instead of hyphens. arXiv admin note: text overlap with arXiv:2003.10057
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.12205 Zobrazit plný text záznamu View this record from Arxiv