# Burning Ship

The Burning Ship escape-time fractal is formed by iterations of:

$X \to X^2 - Y^2 + A \\ Y \to 2 |X| |Y| + B$

where both steps are performed simultaneously. This differs from the Mandelbrot set only by the absolute values in the iteration for $Y$. Conventionally it is visualized with the $B$ axis increasing downwards in image space, which is flipped from traditional representations of the complex plane $A+Bi$.

## Distance estimation

See this blog post for a distance estimation formula.

### Pictures

Original Page by Claude