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The Pseudosphere
The Pseudosphere
The pseudosphere is a surface of revolution with constant negative curvature in
the metric induced by the standard metric on R³.
A longitude curve, or tractrix, has a unit speed
parametrization given by:
A closed form parametrization for the pseudosphere is:
p(s,t) = (cos(s) sin(t), sin(s) sin(t),
cos(t) + tan(ln(t/2)) )
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Created: Mar 28 1996 ---
Last modified: Wed Apr 17 16:59:45 1996