Math software to generate stereographic projection of polyhedra

Question

Is there any software to generate the stereographic projection of polyhedra?

Note that since the stereographic projection is infinite, it should take a viewing window as an input.

(In my particular application, I am trying to find stereographic projections of goldberg polyhedra, and only need slightly more than a hemisphere. Also, it would be best if was free and/or open source.)

EDIT: Wikimedia commons has a list of stereographic projections of polyhedra, but doesn't explain how they were generated.

EDIT: This comes close to what I'm looking for, but it uses orthogonal instead of stereographic projection.

EDIT: I actually know how to generate stereographically project a single point onto a plane, and how to make images that way. My trouble is finding the coordinates of the vertices of polyhedra in terms of Conway notation.

Answer 1

So, here is a partial answer. First, try to make find the Conway notation of your polyhedra (this and this will probably help). Now, use http://levskaya.github.io/polyhedronisme/ to make a 3D model of that polyhedra. Finally, use https://computergraphics.stackexchange.com/q/6373/8325 to make a stereographic projection of a wire frame of the 3D model.

So, it doesn't work with every polyhedra, and it requires multiple pieces of software, but it is better than nothing.