Ortho-Circles of Dupin Cyclides
Michael Schrott, Boris Odehnal · 2006
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 cylinder/cone of revolution and tori and transfer the results afterwards.