You don't have to use gyroelongation

2 years ago by Arthur Besse to c/mathhumor

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

Sotuanduso 24 points 2 years 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.

save

path: 0 9562663, hotness: undefined, score: 24, children: 0

TootSweet 10 points 2 years ago

That's actually awesome to know, honestly.

save

path: 0 9558957, hotness: undefined, score: 10, children: 1

Deconceptualist 3 points 2 years 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.

save

path: 0 9558957 10277540, hotness: undefined, score: 3, children: 0