Surfaces of constant curvature

Curvature means Gauß curvature or mean curvature. Surfaces with constant mean curvature 0 are called minimal surfaces. Examples of minmal surfaces are catenoids and helical surfaces.

Img(69) Helicoid of constant negative curveImg(182) Rotational surface with a constant positive curve; spindle type
Img(183) Rotational surfaces with a constant positive curve, bulge typeImg(184) Helicoid with a constant positive curve
Img(185) Enneper area with a constant positive curve, elliptic typeImg(186) Enneper area with a constant positive curve, cyclic type
Img(187) Brass plates with a constant positive curveImg(188) Rotational surface of the tractrix with a constant negative curve
Img(189) Rotational surface with a constant negative curve; cone typeImg(190) Enneper area with a constant negative curve
Img(198) Catenoid with geodetic lines.Img(199) Onduloid with geodetic lines.
Img(200) NodoidImg(216) Enneper area
Img(217) Enneper areaImg(236) Minimal surface according to Henneber
Img(381) Minimal surface of 9. order (Enneper) with curvature linesImg(382) Minimal surface according to Tallquist
Img(383) Minimal surface according to CatalanImg(386) Rotating surface of constant negative curvature
Img(414) Minimal surface with lemniscate as geodetic lineImg(415) Brass plates of constant negative curvature
Img(416) Rotational surfaces of constant negative curvatureImg(442) Wire frames for minimal surfaces out of soap solution