# # Binary Decomposition

Colour according to the sign of \(\Im z\) (the first escaped iterate). Increasing escape radius is necessary to align edges between layers. Escape radius around \(R = 25\) makes the decomposed cells roughly square.

## # 1 C99 Code

```
#include <complex.h>
#include <stdbool.h>
bool m_binary_decomposition(int N, double R, double _Complex c)
{
double _Complex z = 0;
for (int n = 0; n < N; ++n)
{
if (cabs(z) > R)
return cimag(z) > 0;
z = z * z + c;
}
return true;
}
```