An elliptic paraboloid

   The basket shaped surface shown in this figure is a finite portion of an elliptic paraboloid.  The elliptic paraboloid is a non-ruled quadric surface, i.e. a surface of degree 2 that does not contain an infinite family of straight lines.  In fact, there are no straight lines on this surface.
    The equation of this elliptic paraboloid is   z = x² + y²/2.25,  or equivalently  9z = 9x² + 4y².  This instance is not a surface of revolution.


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The Java files used in this page were downloaded from the Geometry Center webpage.
I generated the geometric data for this figure in April 2014.
Updates completed on April 24, 2014.

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

Office: 351 Vincent Hall
Phone: (612) 625-1076
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