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You don't have to use gyroelongation (lemmy.ml)
submitted 2 years ago by to c/mathmemes@lemmy.blahaj.zone
7 comments fedilink hide all child comments
 

image descriptionStandard "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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[–] 32 points 2 years ago (1 child)

Oh shit this just upgraded my CAD game

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  • [–] 5 points 2 years ago* (last edited 2 years ago) (1 child)

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

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  • [–] 8 points 2 years ago (1 child)

    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.

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    • [–] 14 points 2 years ago (1 child)

    When you roll a natural 1 on your charisma check

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    • [–] 4 points 2 years ago

    I love icospheres. Better than UV spheres.

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