Ortho-Circles of Dupin Cyclides

نویسندگان

  • Michael Schrott
  • Boris Odehnal
چکیده

We study the set of circles which intersect a Dupin cyclide in at least two different points orthogonally. Dupin cyclides can be obtained by inverting a cylinder, or cone of revolution, or by inverting a torus. Since orthogonal intersection is invariant under Möbius transformations we first study the ortho-circles of cylinders/cones of revolution and tori and transfer the results afterwards.

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تاریخ انتشار 2006