The Catalan surface is a 1-periodic minimal surface with branch points.
The parameter lines which grow in the animation are parabolas.
Catalan wire anaglyph
catalan patch anaglyph
Catalan Minimal Surface Parametric Equations
x = cos(aa*π)*(u-sin(u)*cosh(v))+sin(aa*π)*(v-cos(u) * sinh(v))-4
y = cos(aa*π) * (1 - cos(u) * cosh(v)) + sin(aa*π) * sin(u) *sinh(v)
z = 4 *sin(aa*π)*(cos(u /2)*cosh(v/2)-1)+4*cos(aa*π)*sin(u/2)*sinh(v/2)
