When Is a Curve an Octahedron?

نویسندگان

  • Joel Langer
  • David A. Singer
چکیده

We consider complex curves of genus zero and answer the above riddle. Namely, the lemniscate of Bernoulli, which has obvious four-fold symmetry, actually has the octahedral group as its symmetry group, and may in fact be characterized by this symmetry.

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عنوان ژورنال:
  • The American Mathematical Monthly

دوره 117  شماره 

صفحات  -

تاریخ انتشار 2010