Math Humor

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You don't have to use gyroelongation (lemmy.ml)

submitted 6 months ago by [email protected] to c/[email protected]

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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

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[–] [email protected] 0 points 6 months ago

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.

[–] [email protected] 0 points 6 months ago (1 children)

Prove it

[–] [email protected] 0 points 6 months ago

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.

[–] [email protected] 0 points 6 months ago (1 children)

That's actually awesome to know, honestly.

[–] [email protected] 0 points 5 months ago* (last edited 5 months ago)

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.

[–] [email protected] 0 points 6 months ago

Can I get that as a fair die?