Horn Torus
 |
One of the three Standard Tori given by the parametric equations
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
with
. The inversion of a horn torus is a Horn Cyclide (or Parabolic Horn Cyclide). The above left figure shows a horn torus, the middle a cutaway,and the right figure shows a Cross-Section of the horn torus through the 
-plane.See also Cyclide, Horn Cyclide, Ring Torus, Spindle Torus, Standard Tori, Torus
References
Gray, A. ``Tori.'' §11.4 in Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, pp. 218-220, 1993. Pinkall, U. ``Cyclides of Dupin.'' §3.3 in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, pp. 28-30, 1986.
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