- cross-posted to:
- memes
- mathmemes@lemmy.blahaj.zone

- cross-posted to:
- memes
- mathmemes@lemmy.blahaj.zone

## image description

Standard “they don’t know” meme format, featuring line art of “That Feel Guy” wearing a party hat standing in a corner while other people are dancing. An image of an icosahedron formed by three mutually perpendicular golden ratio rectangles sits in front of That Feel Guy. The caption text says “They don’t know that three mutually perpendicular golden ratio rectangles, with edges connecting their corners, form a regular icosahedron.”

https://en.wikipedia.org/w/index.php?title=Regular_icosahedron&oldid=1219666251#Construction

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

Can I get that as a fair die?