Parametrizations remind me of worship songs.
φ(r, θ) = (r cosθ, r sinθ, r2), (r, θ) ε [0,1] x [0, 2π]
Lift my hands and spin around
See the light that I have found!
It’s a marvelous light, marvelous light
Into marvelous light I’m running
Out of darkness, out of shame
By the cross, you are the Truth
You are the Life, you are the Way