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

submitted 7 months ago by cypherpunks@lemmy.ml to c/mathmemes

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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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[-] benignintervention@lemmy.world 30 points 7 months ago

Oh shit this just upgraded my CAD game

[-] threelonmusketeers@sh.itjust.works 5 points 7 months ago* (last edited 7 months ago)

Is it possible to create a golden ratio rectangle in CAD using "ruler and compass" techniques, or is numerical approximation necessary?

[-] anton 8 points 7 months ago

I don't do CAD, but can it be done with "ruler and compass"?
Yes, as the golden ratio is (1+sqrt(5))/2 and sqrt(5) can be found in a right angled triangle with side length 1,2 and sqrt(5).

With some effort the root of any natural number can be constructed with ruler and compass by creating a spiral of right angled triangles.

[-] been_jamming@lemm.ee 4 points 7 months ago

The lengths you can construct are exactly the numbers which are composed of 1, addition, subtraction, multiplication, division, and square roots

[-] Fox@pawb.social 14 points 7 months ago

When you roll a natural 1 on your charisma check

[-] nilaus@lemmy.world 4 points 7 months ago

Bob?

[-] sandalbucket@lemmy.world 3 points 7 months ago

I love icospheres. Better than UV spheres.

this post was submitted on 21 Apr 2024

305 points (100.0% liked)

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