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EscapeRadius

is an option to MandelbrotSetPlot that specifies the criterion to use to decide that a point is not in the Mandelbrot set.

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EscapeRadius

EscapeRadius

is an option to MandelbrotSetPlot that specifies the criterion to use to decide that a point is not in the Mandelbrot set.

Details

  • EscapeRadius->r causes evaluation to iteration of to stop once TemplateBox[{{z, _, n}}, Abs]>r.
  • EscapeRadius must be set to a real number greater than 2.

Examples

Basic Examples  (1)

Increasing the escape radius can smooth the transitions between colors:

Wolfram Research (2014), EscapeRadius, Wolfram Language function, https://reference.wolfram.com/language/ref/EscapeRadius.html.

Text

Wolfram Research (2014), EscapeRadius, Wolfram Language function, https://reference.wolfram.com/language/ref/EscapeRadius.html.

CMS

Wolfram Language. 2014. "EscapeRadius." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/EscapeRadius.html.

APA

Wolfram Language. (2014). EscapeRadius. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/EscapeRadius.html

BibTeX

@misc{reference.wolfram_2025_escaperadius, author="Wolfram Research", title="{EscapeRadius}", year="2014", howpublished="\url{https://reference.wolfram.com/language/ref/EscapeRadius.html}", note=[Accessed: 16-August-2025]}

BibLaTeX

@online{reference.wolfram_2025_escaperadius, organization={Wolfram Research}, title={EscapeRadius}, year={2014}, url={https://reference.wolfram.com/language/ref/EscapeRadius.html}, note=[Accessed: 16-August-2025]}