Surrounding a point is circular x-plane = 360 points circular y-plane = 360 points circular z-plane = 360 points So would a sphere that surrounded a point be 46656000 points ? Because you can turn a circle into a square with point math . r = 2 points diameter = 3 points 1 point + 1 point = x If I use the sphere volume calculation I only get 16.7466666667 points in total ...so that doesn't work too well at all ..
no idea what you're trying to do but you only need 2 co-ordinates (Points in you language) do define a position on a sphere, as for the number of point's depends on the resolution or accuracy of the coordinate system, 360 degrees is in effect an arbitrary value used to divide up a circle into convenient values
You're looking for the surface of the sphere, not the volume. Here are formulas for the circumference of a circle C and the surface of a sphere S: C = 2*pi*r S = 4*pi*r^2 This implies that S = C^2 / pi So if you divide a circle into 360 points, you should divide the sphere into 360^2/pi points, which is roughly 41253 points. If you distrust those formulas, you can verify this by slicing the sphere into circles and stack them. The farther away the circles are from the equator of the sphere, the smaller they become and the fewer points you need. At the poles, those circles become a single point.