this post was submitted on 22 Mar 2026
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[–] CannonFodder@lemmy.world 225 points 1 day 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 111 points 1 day 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 42 points 1 day ago* (last edited 1 day ago)

Rolling shutter, my beloathed…

[–] Speculater@lemmy.world 22 points 1 day ago (2 children)

thatsthejoke.jpg

But what's the time equivalent flashlight?!

[–] mathemachristian@lemmy.ml 21 points 1 day ago* (last edited 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 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.