  Regularization of quantum field theories (QFT's) can be achieved by
quantizing the underlying manifold (spacetime or spatial slice) thereby
replacing it by a non-commutative matrix model or a ``fuzzy manifold''. Such
discretization by quantization is remarkably successful in preserving
symmetries and topological features, and altogether overcoming the
fermion-doubling problem. In this paper, we report on our work on the
``fuzzification'' of the four-dimensional CP2 and its QFT's. CP2 is not spin,
but spin${}_c$. Its Dirac operator has many unique features. They are explained
and their fuzzy versions are described.
