this post was submitted on 22 Mar 2026
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Science Memes

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[–] Zerush@lemmy.ml 1 points 9 minutes ago

Next an Tesseract dice

[–] BigBenis@lemmy.world 11 points 1 hour ago (1 children)

Isn't "3rd dimensional plane" an oxymoron?

[–] traxex@lemmy.dbzer0.com 2 points 56 minutes 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.

[–] timeghost@lemmy.world 5 points 1 hour 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."

[–] TherapyGary@lemmy.dbzer0.com 6 points 1 hour ago
[–] grau0wl@lemmy.world 20 points 2 hours ago (1 children)

Can I buy this chandelier?

[–] Trex202@lemmy.world 38 points 2 hours ago

In the Beyond section of Bed Bath and Beyond

[–] CannonFodder@lemmy.world 112 points 4 hours ago (2 children)

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.

[–] Rhaedas@fedia.io 44 points 3 hours ago (1 children)

It's worse. It's the projection of a 3d shape onto a 2d shape, which is then captured on a different 2d shape to be displayed to us.

It also has a brief 4d dimension, sliced at the second the picture was taken.

[–] verdare@piefed.blahaj.zone 19 points 3 hours ago* (last edited 3 hours ago)

Rolling shutter, my beloathed…

[–] Speculater@lemmy.world 17 points 4 hours ago (2 children)

thatsthejoke.jpg

But what's the time equivalent flashlight?!

[–] mathemachristian@lemmy.ml 5 points 1 hour ago* (last edited 1 hour 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 the manifold's map projects into the linear space. See stereographic projection.

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.

[–] BodyBySisyphus@hexbear.net 1 points 2 hours ago

wowee

Pretty much my reaction to NMDS plots, too.