Problem 785. Mandelbrot Number Test [Real+Imaginary]

The Mandelbrot Set is built around a simple iterative equation.

 z(1)   = c
 z(n+1) = z(n)^2 + c

Mandelbrot numbers remain bounded for n through infinity. These numbers have a real and complex component.

For a vector of real and complex components determine if each is a Mandelbrot number.

If abs(z)>2 then z will escape to infinity and is thus NOT valid.

Input: [-2; 0.22-0.54i ; 0.25-.54i ; 0.26 ;.125+.125i; 0.25]

Output: [1 ; 0 ; 1 ; 0 ; 1 ; 1] ...Where 1 is for a Valid Mandelbrot

Cleve Moler has a whole chapter on the Mandelbrot set in his book Experiments with MATLAB: Chapter 10, Mandelbrot Set (PDF)

Problem based upon Cody 81: Mandelbrot Numbers

Solution Stats

40.0% Correct | 60.0% Incorrect
Last Solution submitted on May 26, 2024

Problem Comments

Solution Comments

Show comments

Problem Recent Solvers23

Suggested Problems

More from this Author295

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!