N-Tangential Rotated Rods

This object started out as a means to create a test object for another project, but after realizing the difficulty of creating a modular tangential cylinders arranged such that all of them touch the next one for n =/= 4, I decided to program a more versatile object in case I ever needed to use it for something else. Plus the math looks way more pretty. I thought I was going to need calculus because I was using the tangent of an ellipse in my original experiment, but I was able to figure it out using angles from the perspective of a projection.

Play with it, feel free to ask questions, I'll be posting more now that I finally made an account. I've got a back log of beautiful geometry to upload.