Cyclides and the guiding circle

J. Franquiz, M. Paluszny and F. Tovar

Mathematics and Computers in Simulation (MATCOM), 2006, vol. 73, issue 1, 168-174

Abstract: Using the fact that spheres of 3D correspond to points in 4-dimensional space which lie outside a certain quadric, we introduce a new shape handle that permits the control of general cyclides: the guiding circle. A general cyclide is the envelope of a quadratic family of spheres which in this context is a conic in 4-dimensional space. The guiding circle is associated to the cyclide via the plane of the conic that corresponds to the cyclide.

Keywords: Guiding circle; General cyclides; Moebius quadric; Stereographic projection (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:73:y:2006:i:1:p:168-174

DOI: 10.1016/j.matcom.2006.06.003

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