Golden ratio discoveries, to me, are usually either "huh, that's neat" or "are they just throwing golden ratios at the wall to see what sticks?"
This is both.
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Golden ratio discoveries, to me, are usually either "huh, that's neat" or "are they just throwing golden ratios at the wall to see what sticks?"
This is both.
That's actually awesome to know, honestly.
Yeah I didn't know this before, but it's great.
It also looks like if you connect the interior points where each edge intersects another rectangle, you can get a regular octahedron inside the icosahedron.
Prove it
https://youtube.com/watch?v=oTWeuyDMgwo
This is for the dodecahedron, but since they're the dual of each other, it amounts to the same thing.
Prove it