3D Print some math.

Comments

• CannonFodder@lemmy.world ⁨2⁩ ⁨days⁩ ago

  Seems to me like it’s demonstrating the projection of a complex three dimensional shape which produces a simple pattern on a two dimensional plane.

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  • Speculater@lemmy.world ⁨2⁩ ⁨days⁩ ago

    thatsthejoke.jpg

    But what’s the time equivalent flashlight?!

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    • mathemachristian@lemmy.ml ⁨1⁩ ⁨day⁩ ago

      Manifolds such as these are actually defined by the maps used from a linear space. Two manifolds (i.e. two sets of maps) are considered the same (isomorphic) if the maps of one set can be “morphed” into the other and vice versa.

      The flashlight demonstrates how one map is morphed into another.

      That’s kind of part of a larger point actually: There is no 3d vector space in reality. It’s a made up construct used to make sense of the world around us.

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    • fossilesque@mander.xyz ⁨2⁩ ⁨days⁩ ago

      [deleted]

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• BlackLaZoR@lemmy.world ⁨1⁩ ⁨day⁩ ago

  No. He shows how non euclidean (sferical) space translates to euclidean (flat) space. Description is bullshit.

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  • Soup@lemmy.world ⁨11⁩ ⁨hours⁩ ago

    There is the cool idea of showing how different dimensions, in our situation where fully visualizing a fourth dimension is fundamentally impossible, could potentially look. Like, yes this is obviously not going to show us a fourth dimension but looking at how a 2D plane can actually be a 3D space if you have the capacity to see it is kinda neat. It’s as close as most people are going to get to visualizing a fourth dimension.

    You’re so focused on how this isn’t a literal representation of something fundamentally impossible to represent that you forgot to exercise your imagination even a little bit.

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  • DragonTypeWyvern@midwest.social ⁨1⁩ ⁨day⁩ ago

    What if I were to tell you you’re supposed to extrapolate the concept instead of taking it absolutely literally?

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    • BlackLaZoR@lemmy.world ⁨1⁩ ⁨day⁩ ago

      There’s nothing to extrapolate here. The description is BS. There’s no such thing as ‘linear plane’ there’s a flat plane and curved plane (with positive and negative curvatures). There’s a thing called linear algebra but it’s not the same. Also planes are 2 dimensional spaces. When you have more dimensions name ‘plane’ doesn’t apply. If you extrapolate BS you’ll get even more BS

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• wrinkle2409@lemmy.cafe ⁨1⁩ ⁨day⁩ ago

  That’s just a stereographic projection wtf are you on about

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  • Zron@lemmy.world ⁨1⁩ ⁨day⁩ ago

    AI slop

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    • shane@feddit.nl ⁨1⁩ ⁨day⁩ ago

      It’s not AI is it though?

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• grau0wl@lemmy.world ⁨1⁩ ⁨day⁩ ago

  Can I buy this chandelier?

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  • Trex202@lemmy.world ⁨1⁩ ⁨day⁩ ago

    In the Beyond section of Bed Bath and Beyond

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• ChaoticNeutralCzech@feddit.org ⁨1⁩ ⁨day⁩ ago

  Oh yes, a 4D print casting a 3D shadow

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• BigBenis@lemmy.world ⁨1⁩ ⁨day⁩ ago

  Isn’t “3rd dimensional plane” an oxymoron?

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  • AnarchoEngineer@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

    I mean typically people refer to planes as hyperplanes once you go past 3D, but I’ve definitely heard them just called “planes” too

    Hyperplanes are just a generalization of planes to higher dimensions. Often you hear the term when working with vectors because, like in 3D, you can define an n-dimensional hyperplane by a surface normal vector and a point. All lines perpendicular (orthogonal) to that normal vector which pass through the point form the plane.

    It’s a useful concept and since we already have a word for that kind of structure in 3D space we just use the same term for it in other dimensions

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  • traxex@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

    Hmmm. I don’t think so but I do think it is incorrectly used here. To me, the 3rd dimensional plane would just be the z axis. If you were talking about the entire 3D shape which they are here, I would just say 3rd dimension.

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• RevolverSly@lemmy.world ⁨1⁩ ⁨day⁩ ago

  So, Earth is actually flat

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  • lengau@midwest.social ⁨15⁩ ⁨hours⁩ ago

    I thought it was carbonated?

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  • DarkSurferZA@lemmy.world ⁨1⁩ ⁨day⁩ ago

    when described in a Euclidean manner, yes

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    • justme@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

      In euclidian metric (which we usually use) it’s not, in spherical it is.

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• 58008@lemmy.world ⁨1⁩ ⁨day⁩ ago

  This is like me laying naked on my back with an erection and saying the shadow cast by the sun is a complex timekeeping device.

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• timeghost@lemmy.world ⁨1⁩ ⁨day⁩ ago

  Neat. How does this help me violate causality or skip over to a different planet? “Scientists discover we are trapped in an even deeper infinite fractal of hell from which there is no escape.”

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  • OpenStars@piefed.social ⁨1⁩ ⁨day⁩ ago

    Um, hypothetically speaking, for a ah friend, if I wanted to STOP slipping into the ever deepening abyss of further levels of hell, how might I, oh I mean my friend, accomplish this?

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    • BanMe@lemmy.world ⁨1⁩ ⁨day⁩ ago

      That’s the main timeline you’re experiencing, it’s totally normal

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• TherapyGary@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

  His full presentation on this:

  youtube.com/watch?v=iqTLQ0T-MxU

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• craigers@lemmy.world ⁨1⁩ ⁨day⁩ ago

  Found the 3d print file for those interested

  www.thingiverse.com/thing:202774

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  • Silic0n_Alph4@lemmy.world ⁨1⁩ ⁨day⁩ ago

    Will it work on my 4d printer or will I have to project it down to 3d first?

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    • Sylvartas@lemmy.dbzer0.com ⁨1⁩ ⁨day⁩ ago

      Make sure it has enough time filament to load a snapshot from the past and still print in the present.

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• Tetragrade@leminal.space ⁨1⁩ ⁨day⁩ ago

  yapping alert

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• Zerush@lemmy.ml ⁨1⁩ ⁨day⁩ ago

  Next an Tesseract dice

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• BodyBySisyphus@hexbear.net ⁨1⁩ ⁨day⁩ ago

  wowee

  Pretty much my reaction to NMDS plots, too.

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• m3t00@lemmy.world ⁨1⁩ ⁨day⁩ ago

  got xmas ornaments do that 🪩

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