Rendering fractals at high zoom levels demands great arithmetic precision.
Implement the same fractal using four different representations of numbers:
complex64, complex128, big.Float, and big.Rat.
(The latter two types are found in the math/big package.
Float uses arbitrary but bounded-precision floating-point;
Rat uses unbounded-precision rational numbers)
How do they compare in performance and memory usage?
At what zoom levels do rendering artifacts become visible?