Quadric Surfaces

If a surface is the graph of an equation of second degree in three-dimensional Cartesian Coordinates, it is called a quadric surface.  All plane sections of quadric surfaces are conics.  Quadric surfaces are sometimes difficult to draw in two dimensions.  This page is designed to help you explore the quadric surfaces from multiple angles.  If you use your mouse to click on the graphs below you will be able to alter your view point of the surface.  You can also start the graph rotating by moving the mouse slightly and then releasing.  

Elliptic Cone

The general form for the equation of the elliptic cone is 

Sphere

The general form for the equation of the sphere is 

Ellipsoid

The general form for the equation of the ellipsoid is 

Hyperboloid of One Sheet

The general form for the equation of the hyperboloid of one sheet is 

Hyperboloid of Two Sheets

The general form for the equation of the hyperboloid of two sheets is

Elliptic Paraboloid

The general form for the equation of the Elliptic Paraboloid is

Hyperbolic Paraboloid

The general form for the equation of the hyperbolic Paraboloid is

 

 

Special thanks in the Creation of this page go to Martin Kraus's for the use of his Live java applet to control 3D Mathematica graphics in real time to Paul Blanchard at Boston University for his great talk at the ICTCM conference in Baltimore, MD.

This page was created and is maintained by Cathy M. Frey, Norwich University.
This page was last modified on Tuesday, February 08, 2011 .