We construct a geodesic net in the plane with four unbalanced (boundary) vertices that has sixteen balanced vertices and does not contain nontrivial subnets. This is the first example of an irreducible geodesic net in the Euclidean plane with four boundary vertices that contain cycles of balanced vertices.

中文翻译：

---

平面中非平凡不可约测地线网的示例

我们在具有 16 个平衡顶点且不包含非平凡子网的四个不平衡（边界）顶点的平面中构建测地线网。这是欧几里得平面中不可约测地线网的第一个示例，它具有包含平衡顶点循环的四个边界顶点。