spherical: spheres, cones, half-planes
cylindrical: cylinders, planes, half-planes
parabolic: paraboloids of revolution, half-planes
oblate spheroidal: oblate spheroids, 1-sheet hyperboloids of revolution, half-planes
prolate spheroidal: prolate spheroids, 2-sheet hyperboloids of revolution, half-planes
toroidal:toroids of revolution, spherical caps, half-planes
bi-spherical:bi-spheres of revolution, lemons, half-planes
...
Fundamental Functions:
Associated Legendre functions:
spheres, oblate spheroids, prolate spheroids, bi-spheres, toroids of revolution
Bessel functions:
circular cylinders, paraboloids of revolution
Lamé functions:
The quadrics and the cyclides
Quadrics:polynomial of order 2
spherical