Corpus ID: 209514295

A Toroidal Maxwell-Cremona-Delaunay Correspondence

@article{Erickson2020ATM,
  title={A Toroidal Maxwell-Cremona-Delaunay Correspondence},
  author={Jeff Erickson and Patrick P Lin},
  journal={ArXiv},
  year={2020},
  volume={abs/2003.10057}
}
  • Jeff Erickson, Patrick P Lin
  • Published 2020
  • Mathematics, Computer Science
  • ArXiv
  • We consider three classes of geodesic embeddings of graphs on Euclidean flat tori: (1) A torus graph $G$ is equilibrium if it is possible to place positive weights on the edges, such that the weighted edge vectors incident to each vertex of G sum to zero. (2) A torus graph $G$ is reciprocal if there is a geodesic embedding of the dual graph $G^*$ on the same flat torus, where each edge of G is orthogonal to the corresponding dual edge in $G^*$. (3) A torus graph $G$ is coherent if it is… CONTINUE READING

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