OTHER DIMENSIONS. “Suppose, for instance, we place 2n spheres of radius 1 inside an n-dimensional cube with side length 4, and then put another one in the center tangent to them all. As n grows, so does the size of the central sphere — it has a radius of n‾√ − 1. Thus, shockingly, when n ≥ 10 this sphere protrudes beyond the sides of the cube.”
https://lnkd.in/dAUsPXq7
linkedin post 2022-06-29 05:12:48
Nigel Fleming
September 21, 2022