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 = x2 - y2 + 2 x y tan2(v)

0 <= u <= pi, 0 <= v <= pi