Enneper's Negative Curvature Surfaces

http://archive.lib.msu.edu/crcmath/math/math/s/s291.htm

Sievert's Surface

A special case of Enneper's Negative Curvature Surfaces which can be given parametrically by 

			(1)
			(2)
			(3)

where 

			(4)
			(5)
			(6)

with   and   (Reckziegel 1986).

See also  Enneper's Negative Curvature Surfaces ,  Kuen Surface ,  Rembs' Surfaces

References

Fischer, G. (Ed.). Plate 87 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 83, 1986.

Reckziegel, H. ``Sievert's Surface.'' §3.4.4.3 in Mathematical Models from the Collections of Universities and Museums (Ed. G. Fischer). Braunschweig, Germany: Vieweg, pp. 38-39, 1986.

Sievert, H. Über die Zentralflächen der Enneperschen Flachen konstanten Krümmungsmaßes. Dissertation, Tübingen, 1886.