Implicit Minimal Lemnescate
By Roger Bagula
Graphics by
Paul Bourke
August 2002
x = cos(v) sqrt(|sin(2 u)|) cos(u)
y = cos(v) sqrt(|sin(2 u)|) sin(u)
z = x
^{2}
- y
^{2}
+ 2 x y tan
^{2}
(v)
0 <= u <= pi, 0 <= v <= pi