I tried to create 5000 uniformly distributed stars (that are represented by each dot) inside a ball of radius R=500, but is seems that the middle gets more points than the surface of the sphere, why ?
this is my attempt:
R=500*rand()/double(RAND_MAX);
theta=acos(-1+2*rand()/double(RAND_MAX));
phi=2*3.14*rand()/double(RAND_MAX);
x_pos=R*sin(theta)*cos(phi);
y_pos=R*sin(theta)*sin(phi);
z_pos=R*cos(theta);
and the result looks like this:
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