Cross Cap
A self intersecting, single sided surface!
Graphics by Paul Bourke
December 1995
Source Code
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Equations
x = cos(u) * sin(2*v)
y = sin(u) * sin(2*v)
z = cos(v) * cos(v) - cos(u) * cos(u) * sin(v) * sin(v)
0 <= u <= 2 
and 0 <= v <= / 2
Implicit surface
4 (x4 + x2 y2 +
x2 z2 + x2 z)
+ y4 + y2 z2 - y2 = 0
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