An example for a nontrivial irreducible geodesic net in the plane
Metric Geometry
2019-02-22 v1 Combinatorics
Differential Geometry
Abstract
We construct a geodesic net in the plane with four unbalanced (boundary) vertices that has 16 balanced vertices and does not contain proper geodesic subnets. This is the first example of an irreducible geodesic net in the Euclidean plane with 4 boundary vertices that is not a tree.
Cite
@article{arxiv.1902.07872,
title = {An example for a nontrivial irreducible geodesic net in the plane},
author = {Fabian Parsch},
journal= {arXiv preprint arXiv:1902.07872},
year = {2019}
}