Creating a hole for rotation and precession

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I have a part I'm trying to figure out how to model. I want a roller that will sit on a square axle. I then want to angle that roller and turn the axle, and keep the roller angled. The roller rotates in a fixed plane, continuing to point in the same direction. The square axle will sweep out a well-defined area that it needs in order to not interfere with the roller. That is the hole I'm trying to create. The idea is to be able to turn the square axle and force the roller to turn with it, but keep the roller turning in a single plane that is not perpendicular to the axle. (keeping the roller pointed in the correct direction is accomplished with other mechanical means)
Attached is this system for a round axle. The leftmost shaft of rollers continues to turn at that angle. Also attached is a section view. This is easy with a round axle--simple model the axle in at an angle and rotate-cut the area I need out of the roller. I added a flat in the middle (seen in Section C) and I'm done, but a square shaft will not rotate with respect to the roller, and should form a square-star-shaped (hyperbolic?) cut.
I'm finding this difficult to explain, but hopefully it's understandable.
How do I create this cut in the roller to accommodate the roller spinning in a single plane that is not perpendicular to the square shaft that is driving it?
Mike Slosson