|
|
|
The Surface generated by a twisted curve 
when rotated about a fixed axis 
and, at the same time, displaced
Parallel to so that the velocity of displacement is always proportional to the Angular Velocity of
Rotation.
See also Generalized Helix, Helicoid, Helix
References
do Carmo, M. P.; Fischer, G.; Pinkall, U.; and Reckziegel, H. ``General Helicoids.'' §3.4.3 in
Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer).
Braunschweig, Germany: Vieweg, pp. 36-37, 1986.
Fischer, G. (Ed.). Plate 89 in
Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume.
Braunschweig, Germany: Vieweg, p. 85, 1986.
Kreyszig, E. Differential Geometry. New York: Dover, p. 88, 1991.