123 - Surfaces to Remember

Sphere of Radius R centered at the origin

Sphere of radius R centered at a point

Ellipsoid with semiaxes centered at the origin

Each of the semiaxes on their respective fraction is the value the ellipsoid extends along each axis starting from the origin.

Circular cylinder along the -axis with radius

This may seem familiar. Indeed it is. This holds for any value of , that's why it's a cylinder. In two dimensions, this is the good old circle.

Circular cone along the axis, with vertex at origin and amplitude , where

For each flap, one along the positive z axis and one along the negative axis, we use the following, where

Paraboloid along the -axis, with vertex at the origin and amplitude , where

124 - Center of Mass

Interactive Graph