MandelbrotSetDistance

MandelbrotSetDistance[c]
estimates the distance from c to the nearest point in the Mandelbrot set.

MandelbrotSetDistance[c,"Interior"]
estimates the distance from c to the nearest point in the complement of the Mandelbrot set.

Details and OptionsDetails and Options

  • The Mandelbrot set is the set of all complex numbers c for which the sequence does not diverge to infinity when starting with .
  • With the option MaxIterations->n, the sequence will be iterated at most n times to determine the distance. The default setting is MaxIterations->100.
  • As MaxIterations approaches infinity, MandelbrotSetDistance[c] will converge on a number that is guaranteed to be at least the true distance.
Introduced in 2014
(10.0)