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# Parametric Surface

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Hi people, I'm trying to render a parametric surface in opengl but got no success. I googled all over the net and didn't got anything worth. Here is the surface description Boy's Surface is an immersion of the real projective plane, RP2, in R3. It was constructed by Werner Boy, working under David Hilbert, in 1901. It is continuous and has threefold symmetry, self-intersecting at a triple point. The Boy's Surface shown here is parametrized by three homogeneous polynomials of degree four which are defined on the sphere, S2. These polynomials are: F = Sqrt(3)/2 [(y2 - z2) (x2 + y2 + z2) + zx (z2 - x2) + xy (y2 - x2)] G = 1/2 [(2x2 - y2 - z2) (x2 + y2 + z2) + 2yz (y2 - z2) + zx (x2 - z2) + xy (y2 - x2)] H = 1/8 (x + y + z) [(x + y + z)3 + 4 (y - x) (z - y) (x - z)] where x = 0.577295 Cos(s) - 0.577295 Cos(t) Sin(s) - 0.3950426 Sin(s) Sin(t) y = 0.577295 Cos(s) + 0.577295 Cos(t) Sin(s) - 0.333365 Sin(s) Sin(t) z = 0.57746 Cos(s) + 0.728199 Sin(s) Sin(t) s ranges from 0 to Pi/2 and t ranges from 0 to 2 Pi I already tried NURBs and evaluators but didn't get it... any help is welcome. A screenshot of the surface can be seen here: http://www.math.smith.edu/~jposson/Boys/pictures/3pt.gif Thanks for your time [edited by - brucesinner on October 8, 2003 6:38:20 PM] [edited by - brucesinner on October 8, 2003 6:38:41 PM]

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