@SaganRitual It's very much the culture of math.se when it is working at its best, which is what this room is meant to encourage. :) I'm very glad you were able to learn things and get collaborators.

For the bounty, the next steps is just for me to award it to an answer, which you don't need to do anything for. I'll do so later tonight or tomorrow morning. I see that your other collaborator is about to write an answer too; I'll most likely make another bounty to award to him as well so that everyone gets prizes.