This figure shows a finite portion of a hyperboloid of one sheet.
The hyperboloid of one sheet is a quadric ruled surface, i.e.,
a surface of
degree 2 that contains infinitely many lines. In fact, there are
two 1-parameter families of lines on this surface.
Some lines from each family are shown on the surface.
The lines in one ruling are shown in red, and the lines in the other ruling are shown in blue.
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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
USA
Office: 351 Vincent Hall
Phone: (612) 625-1076
Dept. FAX: (612) 626-2017
e-mail: roberts@math.umn.edu
http://www.math.umn.edu/~roberts