Rembs' Surfaces
A special class of Enneper's Negative Curvature Surfaces which can be given parametrically by
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
where
 |  |  | (4) |
 | |  | (5) |
 | |  | (6) |
The value of
is restricted to  | (7) |
correspond to the ends of the cleft in the surface.See also Enneper's Negative Curvature Surfaces, Kuen Surface, Sievert's Surface
References
Fischer, G. (Ed.). Plate 88 in Mathematische Modelle/Mathematical Models, Bildband/Photograph Volume. Braunschweig, Germany: Vieweg, p. 84, 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. 39-40, 1986. Rembs, E. ``Enneper'sche Flächen konstanter positiver Krümmung und Hazzidakissche Transformationen.'' Jahrber. DMV 39, 278-283, 1930.
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