A Klein-kancsó paraméteres egyenlete:
x = cos(u) (a + sin(v)*cos(u/2) - sin(2*v) sin(u/2)/2) y = sin(u) (a + sin(v)*cos(u/2) - sin(2*v) sin(u/2)/2) z = sin(u/2) sin(v) + cos(u/2) sin(2*v)/2 ahol -pi <= u <= pi és -pi <= v <= pi