Body of constant width generated by rotating a Reuleaux triangleGeodesic lines on the three-axial ellipsoidKummer surface with 8 real double pointsSpace evolute of a one-sheeted hyperboloidThree-axial ellipsoidsDandelin spheresMoving orthogonal frame along a helix
Boy's surfaceHelicoidMeissner bodySpace evolute of an elliptic paraboloid Trajectory of a heavy point on a sphereEllipsograph (trammel of Archimedes)One-sheeted hyperboloid generated by revolution of a straight line
Catenoid with geodesic linesHyperbolic paraboloidsNodoidSphere as a rotationally symmetric surface of constant positive Gaussian curvatureTwo-sheeted hyperboloidsMöbius stripSphere with handles
Cheese-shaped surface of constant positive Gaussian curvatureJacobi amplitude $\varphi=am(u,k)$One-sheeted hyperboloids with asymptotic conesSpindle-shaped surface of constant positive Gaussian curvatureTypes of singular points of space curvesMovable thread hyperbolic paraboloid
Elliptic conesKummer surface with 16 real double pointsPseudosphereSurface of revolution of constant negative Gaussian curvature, conic typeUnduloidMovable thread hyperboloid
Elliptic paraboloidsKummer surface with 4 real double pointsRotationally symmetric algebraic surface of constant widthSurface of revolution of constant negative Gaussian curvature, hyperboloid typeVarious curves of constant widthMovable wire ellipsoid