3d - procedurally generate a sphere mesh

Question

i am looking for an algorithm ( in pseudo code) that generates the 3d coordinates of a sphere mesh like this:

the number of horizontal and lateral slices should be configurable

Answer 1

If there are M lines of latitude (horizontal) and N lines of longitude (vertical), then put dots at

(x, y, z) = (sin(Pi * m/M) cos(2Pi * n/N), sin(Pi * m/M) sin(2Pi * n/N), cos(Pi * m/M))

for each m in { 0, ..., M } and n in { 0, ..., N-1 } and draw the line segments between the dots, accordingly.

edit: maybe adjust M by 1 or 2 as required, because you should decide whether or not to count "latitude lines" at the poles