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

@article{Langer2010ReflectionsOT,
  title={Reflections on the Lemniscate of Bernoulli: The Forty-Eight Faces of a Mathematical Gem},
  author={Joel Langer and D. A. Singer},
  journal={Milan Journal of Mathematics},
  year={2010},
  volume={78},
  pages={643-682}
}
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. 
8 Citations
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