> however when the second and third circle are
> made the first one get pixelated.

This is a classic problem of incident planes, your "texture"
is exactly on the box, it needs to be offset slightly. Try
changing

box { < 0, 10, 0>, < 10, 0, 10> }

to

box { < 0.001, 9.999, 0.001>, < 9.999, 0.001, 9.999> }

Also, I'd recommend to create your circles using cylinders
instead of intersecting spheres and boxes, especially if you
wish to control the radius ;)

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