Introduction:
The astroidal ellipse is formed by cubing each coordinate
in the parameterization of an ellipse. The surface above, with a =
b = c, is called an astroidal sphere.
Definition:
An implicit formula for the astroidal sphere is:
Properties:
Infinitesimal Area:
The infinitesimal area of a patch on the surface is given by
dA = [click for formula]

Gaussian Curvature:
K[u, v] = [click for formula]

Gaussian curvature of
the surface.


Mean Curvature:
H[u, v] = [click for formula]

Mean curvature of the
surface.


