In differential geometry and algebraic geometry, the Enneper surface is a self-intersecting surface that can be described parametrically by: x = 1 3 u (...

examples of minimal surface are known explicitly, such as the catenoid, the helicoid, the Scherk surface and the Enneper surface. There has been extensive...

surfaces, algebraic surfaces, and other types of surfaces. Catalan's minimal surface Costa's minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid...

minimal surface: A posthumously described periodic surface the Enneper surface the Henneberg surface: the first non-orientable minimal surface Bour's minimal...

mathematics, the Weierstrass–Enneper parameterization of minimal surfaces is a classical piece of differential geometry. Alfred Enneper and Karl Weierstrass studied...

Alfred Enneper (June 14, 1830, Barmen – March 24, 1885 Hanover) was a German mathematician. Enneper earned his PhD from the Georg-August-Universität Göttingen...

Chen–Gackstatter surface family (or the Chen–Gackstatter–Thayer surface family) is a family of minimal surfaces that generalize the Enneper surface by adding...

the Cayley cubic surface, and the Clebsch diagonal surface. del Pezzo surfaces (Fano surfaces) Enneper surface Hirzebruch surfaces Σn P1×P1 The product...

Kuen in 1884. The surface is a special case of the class of Enneper surfaces, first described by Alfred Enneper. The Kuen surface was of interest to...

Duchamp made into a work of art. Man Ray admitted that the object's [Enneper surface] formula "meant nothing to me, but the forms themselves were as varied...

Boy's surface, a sextic realization of the real projective plane in real affine space Enneper surface, a nonic minimal surface Henneberg surface, a minimal...

minimal surface is a surface which has zero mean curvature at all points. Classic examples include the catenoid, helicoid and Enneper surface. Recent...

minimal surface Catenoid Enneper surface Gyroid Helicoid Lidinoid Riemann's minimal surface Saddle tower Scherk surface Schwarz minimal surface Triply...

Richmond surface is a minimal surface first described by Herbert William Richmond in 1904. It is a family of surfaces with one planar end and one Enneper surface-like...

representation formula is the counterpart to the Weierstrass–Enneper parameterization of minimal surfaces: Let V {\displaystyle V} be an open simply connected...

Weierstrass–Enneper parameterization. Collin, Pascal; Hauswirth, Laurent; Rosenberg, Harold (2001), "The geometry of finite topology Bryant surfaces", Annals...

the United States. Alfred Enneper publishes his parametrization of the Enneper surface in connection with minimal surface theory. December 8 – James...

surface in R3 whose Gauss map has image A. Particular examples include Riemann's minimal surface, whose Gauss map is surjective, the Enneper surface,...

= 0 {\displaystyle \sin(z)-\sinh(x)\sinh(y)=0} It has the Weierstrass–Enneper parameterization f ( z ) = 4 1 − z 4 {\displaystyle f(z)={\frac {4}{1-z^{4}}}}...

first and second surface family. The Enneper surface is conjugate to itself: it is left invariant as θ changes. Conjugate surfaces have the property...

Weierstrass–Enneper parameterization, a method for turning certain pairs of functions over the complex numbers into minimal surfaces, produces this surface for...

of curves and surfaces, including surfaces of revolution, Dupin cyclides, helicoids, and minimal surfaces including the Enneper surface, with commentary...

Evacuation of Danevirke Alfred Enneper publishes his parametrization of the Enneper surface in connection with minimal surface theory Hugo Erfurt invents...

k-noids with symmetric openings can be generated using the Weierstrass–Enneper parameterization f ( z ) = 1 / ( z k − 1 ) 2 , g ( z ) = z k − 1 {\displaystyle...

sculptures portray minimal surfaces, which were named after German geometer Alfred Enneper. Nathaniel Friedman writes, "The surfaces [of Longhurst's sculptures]...

1007/s00021-010-0027-9. —— (1992). Constant Mean Curvature Immersions of Enneper Type. American Mathematical Soc. ISBN 978-0-8218-2536-5. Zaborney, Mark...