I won’t be presenting the equations for the locations of all elementary particles of energy (kaus/dots) before and after reflection. This is because if detected known unknowns. This is a concept made popular by United States Secretary of Defense Donald Rumsfeld. He used the phrase to describe “Things we are aware of but don't understand”. The unit sphere of reflection allows us to understand the location of kaus not undergoing reflection. In the rotating reflection model below the center of the unit sphere is marked by the letter A. If we know the hinge angle, we can determine the location of the central hinge, marked by B. Knowing A and B, we can determine the location of the points of reflection, C and D, and with A to D we can determine the starting and finishing points of upper grazing kaus (E to F). These in turn allow us to determine the grazing location of the upper kau (G), which with A allows us to determine the grazing location of the lower kau (H). These combined allows us to determine the starting and finishing points of the lower grazing kaus (I to J). With E, F, I and J one is able to determine the centers of neighboring unit spheres of reflection (K and L). And this is where I’m stuck:
In the upper rotating 3D model, I’ve marked with? all of the points whose location I can’t determine yet from the above shape. These are specifically known unknowns. I know that all of these locations must be defined, but I don’t yet know how to do this.
It might be that it won’t take long for me to figure these out, but there’s still a small chance that it still takes a true eureka moment, if the solution is something that I haven’t thought of before.
If you’re feeling up for it, you can send me a message and I’ll send you the Blender file for you to figure this out for yourself.
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