Reflections on the Lemniscate of Bernoulli: The Forty-Eight Faces of a Mathematical Gem
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- Langer, J.C. & Singer, D.A. Milan J. Math. (2010) 78: 643. doi:10.1007/s00032-010-0124-5
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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.