To verify a uniform distribution on a unit n-sphere, one approach is to divide the sphere into multiple regions and count the number of dots in each region. If the counts are approximately equal across these regions, the distribution can be considered uniform. The method of dividing the sphere can be complex, as it requires careful consideration of how to partition the space effectively. Techniques such as using spherical coordinates or employing geometric algorithms may be necessary for accurate division. Ultimately, the goal is to ensure that the distribution of dots appears uniform across the entire n-sphere.
