side =36;
rad = 9;
ratio = 9;
dot = side/ratio;
fDist = (side+dot)/2;
module dots(){sphere(r=dot, $fn=36);}
difference(){
    intersection () {
        cube (side, center=true);
        sphere(r=(side/2)+rad, $fn=100);}
    //face 1
    translate([0,0,-fDist])dots();   
    //face 2
    translate([fDist, -side/4, side/4])dots();
    translate([fDist, side/4, -side/4])dots();   
    //face 3
    translate([0, fDist, 0])dots();
    translate([-side/4,fDist, -side/4])dots();
    translate([side/4,fDist,side/4])dots();
    //face 4
    translate([-side/4, -fDist, side/4])dots();
    translate([-side/4, ,-fDist,-side/4])dots();
    translate([side/4, -fDist, side/4])dots();
    translate([side/4,-fDist,-side/4])dots();
    //face 5
    translate([-fDist,-side/4,side/4])dots();
    translate([-fDist,side/4,side/4])dots();
    translate([-fDist,0,0])dots();
    translate([-fDist, -side/4,-side/4])dots();
    translate([-fDist, side/4, -side/4])dots();     
    //face 6
    translate([side/4,-side/4,fDist])dots();
    translate([side/4,0,fDist])dots();
    translate([side/4,side/4,fDist])dots();
    translate([-side/4,-side/4,fDist])dots();
    translate([-side/4,0,fDist])dots();
    translate([-side/4,side/4,fDist])dots();    
}