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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