This is a collection of common example surfaces from classes in multivariable calculus. Much larger versions of these surfaces are available here.

Contour lines, together with 8 radial curves make up the surfaces. All surfaces are plotted in such a way to show values of z in [-2,2]. The hyperbolic paraboloid is further cut along a cylinder of radius sqrt(2). The equations of the surfaces are:

• Elliptical cone: z = +- sqrt(2x^2 + y^2)
• Hyperboloid of one sheet: z = +- sqrt(x^2 + y^2 - 1)
• Hyperboloid of two sheets: z = +- sqrt(x^2 + y^2 + 1)
• Circular paraboloid: z = x^2 + y^2
• Elliptical paraboloid: z = 2x^2 + y^2
• Hyperbolic paraboloid: z = x^2 - y^2
• Sphere: z = +- sqrt(1 - x^2 - y^2)
• Ellipsoid: z = +- sqrt(1 - (x^2)/2 - y^2)