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One of the three classes of Tori illustrated above and given by the parametric equations
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(1) |
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(2) |
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(3) |
The standard tori and their inversions are Cyclides.
See also Apple, Cyclide, Horn Torus, Lemon, Ring Torus, Spindle Torus, Torus
References
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.