On the partition of the 2-sphere by geodesic nets

Author:

Heppes Aladár

Abstract

The main result of the paper is that for every natural number n n there exists a geodesic net with vertices of degree 3 or 4 partitioning the round 2-sphere into n n regions.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference4 articles.

1. Poincaré’s problem and the length of the shortest closed geodesic on a convex hypersurface;Croke, Christopher B.;J. Differential Geometry,1982

2. Geodesics and soap bubbles in surfaces;Hass, Joel;Math. Z.,1996

3. Geodesic nets on the 2-sphere;Hass, Joel;Proc. Amer. Math. Soc.,1996

4. Isogonale sphärische Netze;Heppes, A.;Ann. Univ. Sci. Budapest. E\"{o}tv\"{o}s Sect. Math.,1964

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