In today’s post I’m presenting one of the prettiest mathematical ‘discoveries’ that I’ve made. Except I’m highly dubious as to it being an actual discovery. Rather today I realize that I can use the principles of origami folding to discover how reflective gravity works. And this should be something that probably already exists as tools of how to fold regular paper origami. But the reason I didn’t use these tools was that I tried to discover the theory of everything. This origami model only works for molecules.
First, I’ll show you how to fold bikau quadrilaterals into circular arcs, as well as how easy it is to accidentally introduce a second radius of rotation if the bikau quadrilaterals aren’t perfectly aligned:
Had I been a bit more precise in my geometry, instead of manually adjusting the shapes, the yellow outer arc would have been fully along a single plane; the x-y plane in this case. This shows that for an orbiting molecule, one end will experience smaller reflections than the other end. The other end of the molecule is depicted as a folded zig-zag, passing the x-y plane at each zig and zag. When you sum up the lengths of yellow segments, their length is identical as the zig-zagged blue segments.
However, as you might expect, this isn’t the full truth about reflective gravity, but a pretty important element of it, nevertheless. Just as long as I keep working on this, the basic theory of origami reflections should be ready in no time at all.
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