Abstract
Dupin ring cyclide with a three-web consisting of Villarceau circles of both kinds and of isogonal trajectories of the circular curvature lines. In a conformal model of elliptic geometry, the cyclide represents a Clifford surface, where each kind of Villarceau circles is a family of Clifford parallels, while the isogonal trajectories play the role of coaxial helices.
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Odehnal, B., Stachel, H., Glaeser, G. (2020). Projective and Affine Quadrics. In: The Universe of Quadrics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-61053-4_4
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DOI: https://doi.org/10.1007/978-3-662-61053-4_4
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