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.^[1] The Multibrot set is a modification of the Mandelbrot set, where its function is:

${\displaystyle z_{n}=z_{n-1}^{\ \ \ \ \ \,2}+c}$,

the Multibrot set's function is:

${\displaystyle z_{n}=z_{n-1}^{\ \ \ \ \ \,d}+c}$,

where d is any number, real or complex.

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

References

1. "Multibrot Set, Mu-Ency at MROB". www.mrob.com. Retrieved 2024-10-25.