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SIEVERT'S SURFACE

Surface studied by Sievert in 1886.
Heinrich Sievert (? - ?): German mathematician.
Websites:
mathworld
An image in glass made by Richard Palais (recognize one of the 5 surfaces).

 
Cylindrical parametrization: .

Sievert's surface is the outcome of the search for a surface with positive constant total curvature, like the sphere, that is not of revolution, and parametrized by usual functions.

See also the surfaces of revolution with constant curvature.
 
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© Robert FERRÉOL  2017