Reflections on the Lemniscate of Bernoulli : The Forty-Eight Faces of a Mathematical Gem

@inproceedings{Langer2010ReflectionsOT,
  title={Reflections on the Lemniscate of Bernoulli : The Forty-Eight Faces of a Mathematical Gem},
  author={Joel Langer and David A. Singer},
  year={2010}
}
Thirteen simple closed geodesics are found in the lemniscate. Among these are nine “mirrors”—geodesics of reflection symmetry—which generate the full octahedral group and determine a triangulation of the lemniscate as a disdyakis dodecahedron. New visualizations of the lemniscate are presented.