If the radius of the sphere is 0.25, then I multiply the z rotation of
the sphere * 4 because 0.25 is 1 fourth of 1. That works. 

What if the radius of the sphere is 0.35? Like I said, I'm a math
bonehead...

object {sphere {<0,0,0>0.25
        texture {pigment {checker color White color <.1, .6, .5>
/*scale 0.25*/}
           finish { ambient 0 diffuse 1 phong 1 phong_size 80}}
                 rotate <0, 0, -clock*360*4>
      translate <-pi, 0.25, 0>
      translate <2*pi*clock, 0, 0>}
       
            }

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