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Cyclides and the guiding circle

Author

Listed:
  • Franquiz, J.
  • Paluszny, M.
  • Tovar, F.

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.

Suggested Citation

  • Franquiz, J. & Paluszny, M. & Tovar, F., 2006. "Cyclides and the guiding circle," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 73(1), pages 168-174.
    • Handle: RePEc:eee:matcom:v:73:y:2006:i:1:p:168-174
    DOI: 10.1016/j.matcom.2006.06.003
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    Cited by:

    1. Paluszny, Marco & Tovar, Francisco, 2009. "Envelopes and tubular splines," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(6), pages 1971-1976.

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