Fractal.RUFF.Mandelbrot.Ray

External angles define external rays which can be traced back from the circle at infinity to the boundary of the Mandelbrot Set.

The algorithm is based on Tomoki Kawahira's paper An algorithm to draw external rays of the Mandelbrot set http://www.math.nagoya-u.ac.jp/~kawahira/programs/mandel-exray.pdf.

Documentation

externalRay :: (Ord r, Floating r) => r -> Int -> r -> Angle -> [Complex r]

Compute the external ray for an external angle with a given accuracy, sharpness and starting radius. For example:

 externalRay 1e-10 8 (2**24) (1/3)