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In differential geometry, a saddle tower is a
Images of The Saddle Tower Surface Families
{{Minimal surfaces Minimal surfaces
In differential geometry, a saddle tower is a minimal surface
In mathematics, a minimal surface is a surface that locally minimizes its area. This is equivalent to having zero mean curvature (see definitions below).
The term "minimal surface" is used because these surfaces originally arose as surfaces tha ...
family generalizing the singly periodic Scherk's second surface so that it has ''N''-fold (''N'' > 2) symmetry around one axis.
These surfaces are the only properly embedded singly periodic minimal surfaces in R3 with genus
Genus ( plural genera ) is a taxonomic rank used in the biological classification of living and fossil organisms as well as viruses. In the hierarchy of biological classification, genus comes above species and below family. In binomial n ...
zero and finitely many Scherk-type ends
End, END, Ending, or variation, may refer to:
End
*In mathematics:
**End (category theory)
** End (topology)
** End (graph theory)
** End (group theory) (a subcase of the previous)
** End (endomorphism)
*In sports and games
**End (gridiron footba ...
in the quotient.Joaquın Perez and Martin Traize, The classification of singly periodic minimal surfaces with genus zero and Scherk-type ends, Transactions of the American Mathematical Society, Volume 359, Number 3, March 2007, Pages 965–990
References
External links
Images of The Saddle Tower Surface Families
{{Minimal surfaces Minimal surfaces