An example for a nontrivial irreducible geodesic net in the plane

Fabian Parsch

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arXiv · 1902.07872

An example for a nontrivial irreducible geodesic net in the plane

Fabian Parsch

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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.

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Fabian Parsch. 2019-02-21. An example for a nontrivial irreducible geodesic net in the plane. https://arxiv.org/abs/1902.07872

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