# 5. Consider the following pair of functions: C1 : [0,1] [0,1], C...

## Transcribed Text

5. Consider the following pair of functions: C1 : [0,1] [0,1], C2:[0,1] [0,1], 92(2)==22 Together, these two functions form the Cantor set IFS. In this problem, you will create MATLAB code to visualize the behaviour of this IFS! To be specific, you should create a MATLAB function named cantor. m that does the following: It should take in as input a value n. Starting from I = 0, it should repeat the following process 72 times: - It should choose one of the maps C1, C2 at random, and apply it to x. - It should then update I to be this new calculated value. At the end, it should use scatter to plot all of these values of x. (To do this in MATLAB, create a second array y of zeroes that's the same length as your vector of x-values, and plot these versus each other.) If successful, your code should generate a picture similarĀ² to the following for 72 = 1000: 0.1 -- as -0.1 0.2 0.4 0.6 0.8 1

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% Function definitions
c1 = @(x) x/3;
c2 = @(x) (x+2)/3;

n = input('Insert n: ');

% vector of all generated x points
xv = zeros(1,n);
yv = xv;

x = 0;

for i=1:n-1
% each time,...

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