Hey Bem,
So I got results by follwing a guy that graphed out the points I needed. Oddly enough it reminded me of a barrel on a wave:



I think I'll go get in the ocean tomorrow!

"""""""""Maybe the curve could be booleaned to make the gear "rack," or a portion of it anyway?""""""""""

Yes, these curves will be used to cut the radius' at the topmost portion of the rack teeth. The base point of the rack is a simple arc, but for the top part to be "tight", the teeth need to have the radius to allow the rollers "contact" in more than one place at a time. no backlash. It makes for constant contact on more than one roller.


""""""""curtate cycloids""""""

Thanks. The terms help me find the info I need :)

Anyway, I got what I need, so dont pull out any hair, but I thought of you because this falls right inline with all your other parametric scripts.