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
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I generated the geometric data for this figure in April 2014.
Updates completed on April 24, 2014.
Prof. Joel Roberts
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University of Minnesota
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