Togliatti surfaces are quintic surfaces having the maximum possible number of ordinary double
points (31).
A related surface sometimes known as the dervish can be defined by
|
(1)
|
where
|
(2)
|
|
(8)
|
and
See also
Algebraic Surface,
Quintic
Surface,
Togliatti Surface
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References
Endraß, S. "Togliatti Surfaces." http://enriques.mathematik.uni-mainz.de/docs/Etogliatti.shtml.Endraß, S. "Flächen mit vielen Doppelpunkten." DMV-Mitteilungen 4,
17-20, 4/1995.Endraß, S. Symmetrische Fläche mit vielen
gewöhnlichen Doppelpunkten. Ph.D. thesis. Erlangen, Germany, 1996.Hunt,
B. "Algebraic Surfaces." http://www.mathematik.uni-kl.de/~hunt/drawings.html.Nordstrand,
T. "Dervish." http://jalape.no/math/dervtxt.
Cite this as:
Weisstein, Eric W. "Dervish." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Dervish.html
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