The restriction to the unit sphere of the following function
f(x, y, z) = ( xy, yz, zx ),defines a map from RP^2 to R^3. Parametrically, the Roman Surface is given by
[ sin(2*u)*cos(v)^2, sin(u)*sin(2*v), cos(u)*sin(2*v) ]
0 <= u <= Pi, -Pi/2 <= v <= Pi/2
source: Gerd Fischer, ed. Mathematical Models from the Collections of Universities and Museums, Vol. 1 & 2.
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Created: Jun 27 1995 ---- Last modified: Wed Aug 16 20:20:46 1995
Copyright © 1995 by The Geometry Center, all rights reserved