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3D Axes: initial setup

Let me begin here, and incrementally improve the representation. I don't want 3D coordinates to "happen" to me. I may pick them out of a list, but I think there is a better way. My coordinates will describe an intrinsic property of physical objects (orientation), and should be consistent from object to object. So, I have introduced coordinates in this order 1. orient an object in a natural way 2. describe that orientation with math. I call these object or local coordinates. Like this: