3 ms·
Interesting article. Just based on the title, I was expecting some intuitive explanation of the higher dimensions stabilizing at 3 polytopes. I guess the n-tet
by alanbernstein 9y ago
Interesting article. Just based on the title, I was expecting some intuitive explanation of the higher dimensions stabilizing at 3 polytopes.
I guess the n-tetrahedron, n-cube and n-octahedron generalize to any dimension, but that's it?
- veeedz 9y agoThere's a neat numberphile video on the subject! [1] [1] https://www.youtube.com/watch?v=2s4TqVAbfz4 https://www.youtube.com/watch?v=2s4TqVAbfz4
- nhaehnle 9y agoYes. The "n-tetrahedron" is usually called the simplex, and the "n-octahedron" is usually called the cross-polytope.
- grkvlt 9y agoAnd the "n-cube" is the "measure-polytope" because you can use squares to measure 2-space, cubes to measure 3-space, hypercubes for 4-space and so on...