page_title: Multibrot set
section_title: Positive powers
hierarchical_section_title: Multibrot set / Examples / Positive powers
caption_attribution_description: Español: Mandelbrot method. Zn+1 = Zn^96 + C .. JMB 2013 x 40
context_page_description: In mathematics, a multibrot set is the set of values in the complex plane whose absolute value remains below some finite value throughout iterations by a member of the general monic univariate polynomial family of recursions. The name is a portmanteau of multiple and Mandelbrot set. The same can be applied to the Julia set, this being called multi-Julia set.
  where d ≥ 2. The exponent d may be further generalized to negative and fractional values.
context_section_description: The example d = 2 is the original Mandelbrot set. The examples for d > 2 are often called multibrot sets. These sets include the origin and have fractal perimeters, with (d − 1)-fold rotational symmetry.
caption: z ↦ z96 + c detail x40
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