I'm trying to use the Bend modifier along with an array modifier and appropriate pivot objects to take a plane and turn it into a segmented ring.
So I use an “array pivot” object to rotate the array copies, and an “bend pivot” to reposition the center of the bend modifier.
But I don't understand where exactly to position the bend pivot object. By experiment I found approximate solutions for various bend angles, and used python to fit a curve to the data, and determined the relationship is roughly -114.563/x, where x is the angle of rotation.
But that -114.563 makes no sense to me, I assumed there was some factor of pi or something that could explain how to position the bend modifier, but it still looks like a mystery to me.
So I was wondering, does anyone know what the relationship is? Or is there something I am missing that would make sense of this, or simplify it?
Edit: It just occurred to me that my factor is really close to 360/pi, so I think that is the answer, though the question remains, why does the bend modifier's center have to be offset different amounts depending on the degree of bend? And why the factor of 360/pi?