Quote - hardly any time at all to do the end caps. I need the practie anyway :(

There is some formula for parabolas earlier in this thread  y = ax^2 + bx + c  and I have the code to find a,b,c given 3 points on the curve. Two end points and any other point.  I think thats the way to go, and its not very much off a catenery curve.

Breaking the cap n-gon to tri is called a pole in lightwave. It does not render well in Poser though :(  if the tries are too thin unless you unweld the vertices.

Can that approach for the parabola handle endpoints at different Y positions, then?  If both endpoints are used as inputs, it seems like it might be able to.  I'm happy enough with a parabola, myself.  It really isn't that different, and I doubt many users would even be aware of the difference between the two curves.

The pole cap doesn't handle well?  Hmm.  May have to go with the last configuration you posted, then.

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Cage can be an opinionated jerk who posts without thinking.  He apologizes for this.  He's honestly not trying to be a turkeyhead.

Cage had some freebies, compatible with Poser 11 and below.  His Python scripts were saved at archive.org, along with the rest of the Morphography site, where they were hosted.