I get the basic “axes double up” idea, but why are the axes not stationary in the first place? Why would motion change them? Isn’t there a better way to track motion that wouldn’t require something as complicated as quaternions?
If you track 7 points, one being the center, and then equal distance up, down, left, right, front, back, doesn’t that allow you to track all rotational motion with no need for four-dimentional number systems?
In: Physics
Quaternions are enormously more compact and efficient than any other system. Both your 7 points and the traditional 3 distances plus 3 rotations (yaw, pitch, roll) take more than 4 values to represent their transform.
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