Multibrot set

In mathematics, a Multibrot set is the set of numbers in the complex plane that are put into a function multiple times until its absolute value is greater than a specific number. The Multibrot set is a modification of the Mandelbrot set, where its function is:

[math]\displaystyle{ z_{n} = z^{\ \ \ \ \ \, 2}_{n-1} + c }[/math],

the Multibrot set's function is:

[math]\displaystyle{ z_{n} = z^{\ \ \ \ \ \, d}_{n-1} + c }[/math],

where d is any number, real or complex.

The formula for the Multibrot set can also be used for a Julia set.

Multibrot Set Media

• 

  Multibrot 3 at the bottom-left of the main part.

• 

  Julia set for multibrot set 8.

• 

  Multibrot set with d = 4.

• Video showing the fractal with different powers (0-2).

• 

  z Template:Mapsto z2 + c

• 

  z Template:Mapsto z3 + c

• 

  z Template:Mapsto z4 + c

• 

  z Template:Mapsto z5 + c

• 

  z Template:Mapsto z6 + c

• 

  z Template:Mapsto z96 + c