Problem 81. Mandelbrot Numbers
 If c = 0 and lim = 3, then z = [0 0 0] and n = 3.
 If c = 1 and lim = 5, then z = [1 2], and n = length(z) or 2.
 If c = 0.5 and lim = 5, then z = [0.5000 0.7500 1.0625 1.6289] and n = 4.
Solution Stats
Problem Comments

8 Comments
For c==4 and other numbers where abs(c)>2, I think the function should be defined to return 0 rather than 1.
comment
I am really stuck on this one. I know it is likley me not the question but I cannot figure out why in the final validation, 2i should give N=1, I get it to be N=2? any help is appriciated, this is the only situlation where code fails.
For people like me that hoped this challenge would end with a pretty picture:
`[X,Y]=meshgrid(2:0.0025:2,2:0.0025:2);C=X+i.*Y;N=mandelbrot(C,50);imagesc(N)`
@Ratchet_Hamster
for complex no, u need to take the absolute value to check if it is greater than 2
Broken ink to Cleve Moler's PDF
Thanks for noticing that, @Shlomo Geva. The link has been fixed.
Really nice problem, and great very simple solution by the community.
Solution Comments
Show commentsProblem Recent Solvers1708
Suggested Problems

1509 Solvers

Number of 1s in a binary string
8698 Solvers

Getting the row and column location from a matrix
284 Solvers

Rounding off numbers to n decimals
4374 Solvers

533 Solvers
More from this Author96
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!