Simple Questions

I’m not sure if this description alone will provide enough information to find a solution, but here goes:

I’m assembling a prop for a short film, and am trying to figure out a method to evenly distribute as many circular dots as possible onto the curved surface of a roughly hemisphere-shaped object (ie each dot is an equal distance from all adjacent dots).

I tried to think of it as a series of concentric circles ascending to the “top”, but could not figure out a reliable way to determine the number of dots per circle for a given number of dots distributed across a given number of circles (I could not realistically fit more than 50-60 dots across 5-6 rows/circles of them on the item in question).

I get the feeling there’s a geometric way to figure out this problem of even (or reasonably close)!distribution, but I took geometry way too long ago now to remember it. Can anyone offer a general method to doing this?

/r/math Thread