The Breather Surface: The Breather surface is the surface of Gaussian curvature minus one that corresponds to the following solution of the Sine-Gordon equation: q(u,v) := 4 * arctan( (aa / w) * (sin(w * v)) / (cosh(aa * u)) ); where: w := sqrt( 1 - aa * aa);

See also: breather surface with parametric formula