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hydroptic@sopuli.xyz to Science Memes@mander.xyzEnglish · 7 months ago

Behold, a square

sopuli.xyz

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Behold, a square

sopuli.xyz

hydroptic@sopuli.xyz to Science Memes@mander.xyzEnglish · 7 months ago
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  • snooggums@lemmy.world
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    7 months ago

    As long as we ignore the parallel sides requirement, sure.

    • kryptonianCodeMonkey@lemmy.world
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      7 months ago

      And that the 90 degree angles should be interior angles.

      • ninja@lemmy.world
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        7 months ago

        deleted by creator

        • bstix@feddit.dk
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          7 months ago

          Yes sure, in Euclidean geometry, but this is clearly keyhole shaped geometry.

        • Rain World: Slugcat Game@lemmy.world
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          7 months ago

          geodesics

      • wolfpack86@lemmy.world
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        7 months ago

        They’re also not actually right angles, as the curvature starts departing from the angles origin. They may be approximately 90, down to many many small decimal places, but they are not 90.

        • kryptonianCodeMonkey@lemmy.world
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          7 months ago

          That’s not accurate. If you are measuring the angle of a line intersecting with a curved surface, you measure against the tangent at the point of contact/intersection. It can be and still is exactly 90 degrees.

    • Prunebutt@slrpnk.net
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      7 months ago

      Take shitposts seriously and point out their obvious errors

      -Carl Friedrich Gauss, probably

      • Eheran@lemmy.world
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        7 months ago

        Science memes is not r/shitposting? I would assume the person is serious when posting here.

        • Rain World: Slugcat Game@lemmy.world
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          7 months ago

          gasp!!! it is c/!!!

        • hydroptic@sopuli.xyzOP
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          7 months ago

          I would assume the person is serious when posting here.

          This sounds like a “you” problem

      • Tja@programming.dev
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        7 months ago

        The name of that Gauss?

        Ampere

    • lugal@sopuli.xyz
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      7 months ago

      c/gatekeeping squares

    • hydroptic@sopuli.xyzOP
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      7 months ago

      You’re no fun

    • Tolookah@discuss.tchncs.de
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      7 months ago

      Polar coordinate square?

  • Lem Jukes@lemm.ee
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    7 months ago

    I remember enough from geometry to know this is horseshit and be annoyed at it but not enough to actually prove why

    • Tja@programming.dev
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      7 months ago

      Sides must be straight and parallel two and two.

      • OldChicoAle@lemmy.world
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        7 months ago

        QED

  • Doll_Tow_Jet-ski@fedia.io
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    7 months ago

    What are the 4 sides?

    • The Assman@sh.itjust.works
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      7 months ago

      The black lines

    • Codex@lemmy.world
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      7 months ago

      The semi-circle is one side, then the 2 straight edges, and the arc between them is the 4th side.

      • Doll_Tow_Jet-ski@fedia.io
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        7 months ago

        That’s what I thought. The only way on which this has four sides is if the semi -circle is a side. But if that’s the case, then I don’t know wha the definition of “side” is

        • bstix@feddit.dk
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          7 months ago

          Knock knock. Do you have a moment to discuss non-euclidean geometry?

          • Doll_Tow_Jet-ski@fedia.io
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            7 months ago

            /slams door

    • UrLogicFails@beehaw.org
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      7 months ago

      Someone may want to double-check my math on this one, but the length of the sides will be dependant on the radius of the smaller circle

      ϴ=π+1-√(π^2+1), l=(2π-ϴ)r_1, l is the length of the sides. r_1 is the radius of the smaller circle

      • m0darn@lemmy.ca
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        7 months ago

        I look at your diagram and see:

        ϴ= L/(L+R)
        

        And

        2π-ϴ = L/R
        

        I solved those (using substitution, then the quadratic formula) and got

        L= π-1 ± √(1+π²) ~= 5.44 or -1.16
        

        Whether or not a negative length is meaningful in this context is an exercise left to the reader

        Giving (for L=5.44):

        ϴ~= 0.845 ~~48.4° 
        

        I’m surprised that it solved to a single number, maybe I made a mistake.

        • UrLogicFails@beehaw.org
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          7 months ago

          That lines up pretty similarly with what I found also. The angle should be a constant since there is only one angle where the relationship would be true. I just left it in terms of π because I try to avoid rounding.

          Having said that, L would be a ratio of r; which I think lines up with what you found as well.

  • affiliate@lemmy.world
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    7 months ago

    it’s homeomorphic to a square, so why not

    • hydroptic@sopuli.xyzOP
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      7 months ago

      See, you get it

    • Log in | Sign up@lemmy.world
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      7 months ago

      I’ll tell you why not! You hippie homeopaths are all the same! Science has scienced the evidence that there’s no evidence for homopathic medicines otter than the libido effect.

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