Whitney UmbrellaBy Paul BourkeNovember 2002
y = 0.5 sin2(u) sin(2 v) z = sin(u) sin(v) 0 <= u <= pi, 0 <= v <= 2 pi
There is a singularity at (0,0,0) and a self intersection along the line x=y=0. 
 Implicit form
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Whitney UmbrellaBy Paul BourkeNovember 2002
y = 0.5 sin2(u) sin(2 v) z = sin(u) sin(v) 0 <= u <= pi, 0 <= v <= 2 pi
There is a singularity at (0,0,0) and a self intersection along the line x=y=0.
Implicit form
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