Corpus ID: 14517950

Ortho-Circles of Dupin Cyclides

@inproceedings{Schrott2006OrthoCirclesOD,
  title={Ortho-Circles of Dupin Cyclides},
  author={Michael Schrott and Boris Odehnal},
  year={2006}
}
  • Michael Schrott, Boris Odehnal
  • Published 2006
  • Mathematics
  • We study the set of circles which intersect a Dupin cyclide in at least two difierent points orthogonally. Dupin cyclides can be obtained by inverting a cylinder, or cone of revolution, or by inverting a torus. Since orthogonal intersec- tion is invariant under Mobius transformations we flrst study the ortho-circles of cylinders/cones of revolution and tori and transfer the results afterwards. 
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