Spherical Helicoid

curvature eq 1 helicoid 012
A Spherical Helicoid, plotted with increasing domain.

Spherical Helicoid is a family of surfaces with constant gaussian curvature K = 1 and helicoidal symmetry.

curvature1 helicoid mor 001
the K = 1 helicoids depend on parameters as in this animation. All of these surfaces except the standard sphere have singularities.
spherical helicoid pat ana
spherical helicoid pat ana
spherical helicoid wire ana
spherical helicoid wire ana

Spherical_Helicoid.pdf