Ring Torus
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One of the three Standard Tori given by the parametric equations
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with
. This is the Torus which is generally meant when the term ``torus'' is used without qualification.The inversion of a ring torus is a Ring Cyclide if the Inversion Center does not lie on the torus anda Parabolic Ring Cyclide if it does. The above left figure shows a ring torus, the middle a cutaway,and the right figure shows a Cross-Section of the ring torus through the 
-plane.See also Cyclide, Horn Torus, Parabolic Ring Cyclide, Ring Cyclide,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.
- Schiffler Point
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