There is an n-1-sphere defined by $S^{n-1}=\{\mathbf{x}\in\mathbb{R}^n: \|\mathbf{x}\|=r\}$ ($r>0$ is the radius here). If n=2, it is the edge of a circle; If n=3, it is the surface of a sphere. There are $m$ points on the n-1-sphere. If we let the distance $d$ between the two points with the smallest distance be maximized. In this way, are these $m$ points uniformly distributed in the space? Whether the distance $d$ can be expressed as a function of $r$?
2026-03-25 22:05:17.1774476317
How to calculate the distance between $m$ points evenly distributed on the surface of the n-1-sphere according to the radius $r$?
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