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An example for a nontrivial irreducible geodesic net in the plane (1902.07872v1)
Published 21 Feb 2019 in math.MG, math.CO, and math.DG
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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