Get Technical
I intend to discuss the equations and explain essential derivations (or proofs) but for now, I am going to simply dump the relevant equations here.
Equations based on cartesian and cylindrical coordinates
Diagram for deriving cartesian coordinates
Superellipse radius
Superellipse angle based on cylindrical coordinates
Equations based on spherical coordinates
Diagram for deriving spherical coordinates
Sphere rho
Superellipsoid rho
Superellipsoid rho, featuring expanded exponents
Sphere x,y,z
Superellipsoid x,y,z featuring expanded exponents
Superellipsoid angle Phi based on spherical coordinates
