A ball, however tiny, has 3 dimensions, it has a surface that moves around a mathematical point at the center of the sphere.
A point of zero dimensions has no diameter nor perimeter, no surface with which to spin. Yet when influenced by a magnetic field, a point-like indivisible particle behaves as if it does spin.

As Chief Brody might say, we're gonna need a bigger math!
How about imaginary numbers and the complex plane?
Now add the Uncertainty Principle, just for shits 'n' giggles!
Probability space! Probability amplitudes and polarizations!