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The simplest hypercube visualization is taking the fourth dimension as time. Then it’s just a regular cube that appears at once, and a unit of time later again
by layer8 8mo ago
The simplest hypercube visualization is taking the fourth dimension as time. Then it’s just a regular cube that appears at once, and a unit of time later again vanishes instantly. ;)
- amenghra 8mo agoFlatland is an interesting way to think about dimensions. If we were living in a 2D world, anything living in the 3D world would blow our minds and do things we would think should be impossible. https://en.wikipedia.org/wiki/Flatland https://en.wikipedia.org/wiki/Flatland
- layer8 8mo agoThere’s also The Planiverse, with a different take on what a 2D world would look like. https://en.wikipedia.org/wiki/The_Planiverse https://en.wikipedia.org/wiki/The_Planiverse
- unnah 8mo agoIt's not so easy any more if you try to rotate the hypercube and have to visualize intersections with arbitrary hyperplanes. Already in 3 dimensions the intersection of a cube and a plane can be a non-regular polygon with 3-6 sides.