What's the average distance to the next point when 7 points are distributed equally throughout a cube?
A globular cluster of stars is estimated to have a density of 7 stars per cubic light year. On the average, what is the inter-stellar distance from any star to the next closest one? Can you show this mathematically?
I wonder how our differently our civilization, mathematics, and science might have developed if the nearest stars were 8x closer. Our understanding of gravitation, electro-magnetic propagation, motion, even time-space might might have advanced farther and more quickly than it has, so far, in our given time on earth. I imagine that even the arts - visual, poetic, musical, etc.- would all be profoundly affected.