# Burning Ship

The Mandelbrot set plots the fate of \[(x + i y) \to (x + i y)^2 + (a + i b).\]

The Burning Ship plots the fate of \[(x + i y) \to (|x| + i |y|)^2 + (a + i b).\]

The absolute values mean the Burning Ship formula is not analytic. It is continuous, but its derivatives are not continuous everywhere.

# 1 At The Helm Of The Burning Ship

Conference paper.

Claude Heiland-Allen. At the Helm of the Burning Ship. 2019. DOI: 10.14236/ewic/EVA2019.74

See: At the Helm of the Burning Ship.