Find a parametrization of the bumpy torus, given as the set of points which have distance $5 + 2cos(7θ)$ from the circle $<10cos(θ), 10sin(θ), 0>$, where $θ$ is the angle occurring in cylindrical and spherical coordinates.
I got that $r = 10 + (5 + 2cos(7θ))cos(ϕ)$. Is this even right, and how to I proceed from here?