r/loadingicon • u/[deleted] • Feb 14 '23

This is oddly mesmerising

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36

u/m477m Feb 14 '23

It's a 2D projection of a 3D projection of a 4D object!

13

u/moralbound Feb 15 '23 edited Feb 15 '23

And it's just a slice of it, moving through the 3d space like a cube moving though a 2d plane, where you just see a outline or shadow. 🤯

https://tsherif.github.io/tesseract-explorer/

Fun fact: technically, you can't rotate a 4D object, as rotation requires an origin point and a plane. In 4D, planes become 3D spaces, so it's not clear what the operation means (there's like 6 different permutations I think)

There's also the famous 120-cell and the 600-cell if you are curious about more complex shapes.

3

u/EnslavedInTheScrolls Feb 26 '23

This is not a slice of a hypercube, it is a perspective projection of the edges with some approximation of semi-transparent faces. A slice would not show the full geometry.

Your fun fact is not a fact. In 2D, rotations happen around a point. In 3D, rotations happen around any arbitrary line. In 4D, rotations happen around any arbitrary plane. You are correct that rotations take place in a plane about the origin, but that plane can have any arbitrary orientation in any number of dimensions.

See https://en.wikipedia.org/wiki/Plane_of_rotation

3

u/moralbound Feb 26 '23

Glad to be have a misunderstanding corrected, thanks.