An ellipsoid

   This figure shows an ellipsoid.  It is definitely not a surface of rotation;  indeed all three axes have different lengths.  Specifically, the ratios of the lengths of the three axes  (long:medium:short)  are  1:23:49.  The equation of this ellipsoid is:
x² + 2.25y² + 5.0625z² = 1.

Each of the black lines traced along the center of a yellow stripe is the intersection of the surface with one of the coordinate planes.  Each of those curves is an ellipse, as are all non-trivial planar cross-sections of the ellipsoid. 
Click here to see:


Go back to the JGV homepage.

Back to the Math 5385 homepage

Back to my homepage

I made the figure on this page by substituting my own data in a Geometry Center webpage.

Prof. Joel Roberts
School of Mathematics
University of Minnesota
Minneapolis, MN 55455

Office: 351 Vincent Hall
Phone: (612) 625-1076
Dept. FAX: (612) 626-2017