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Elliptic Helicoid

A generalization of the Helicoid to the parametric equations

$\displaystyle x(u,v)$ $\textstyle =$ $\displaystyle av\cos u$  
$\displaystyle y(u,v)$ $\textstyle =$ $\displaystyle bv\sin u$  
$\displaystyle z(u,v)$ $\textstyle =$ $\displaystyle c u.$  

See also Helicoid


Gray, A. Modern Differential Geometry of Curves and Surfaces. Boca Raton, FL: CRC Press, p. 264, 1993.

© 1996-9 Eric W. Weisstein