%0 Journal Article
%T Finding geodesics in a triangulated 2-sphere
%A Abigail Thompson
%J Mathematics
%D 2014
%I arXiv
%X Let S be a triangulated 2-sphere with fixed triangulation T. We apply the methods of thin position from knot theory to obtain a simple version of the three geodesics theorem for the 2-sphere [5]. In general these three geodesics may be unstable, corresponding, for example, to the three equators of an ellipsoid. Using a piece-wise linear approach, we show that we can usually find at least three stable geodesics.
%U http://arxiv.org/abs/1408.5949v2