Mandelbrot set renderer using fixed point
The Mandelbrot set
is the set of complex numbers
for which the recurrence relation
does not diverge when iterated. The Mandelbrot set is oftan drawn onto a complex
plane to illustrate the beauty and infiniteness of mathematics.
This work illustrates/visualizes the effect of quantization, which happens when
a finite number of bits is used to represent a real number, by iterating
using fixed point arithmetic. The result is, for some different fractional word
length, displayed in the images below.
More information regarding the coloring can be found here.
2 Fractional bits
4 Fractional bits
6 Fractional bits
8 Fractional bits
10 Fractional bits
15 Fractional bits
