The problem of equally spacing n points on a sphere is impossible in general, but there are methods that come close to spacing the points equally. The method introduced in this paper uses a spiral that was found using experimental evidence. The resulting spacings are close to theoretical bounds, and the method is computationally efficient for large numbers of points. The method's accuracy ranges from 70% to 86% of the upper bound as n changes.
Todd Rowland, Wolfram Research
"A New Computationally Efficient Method for Spacing n Points on a Sphere,"
Rose-Hulman Undergraduate Mathematics Journal: Vol. 18
, Article 5.
Available at: https://scholar.rose-hulman.edu/rhumj/vol18/iss2/5