Plotting Sierpinski's triangle
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Sierpinski’s triangle can be implemented in MATLAB by plotting points iteratively according to one of the following three rules which are selected randomly with equal probability.
- Rule 1: x=05.*x y=0.5*y
- Rule 2: x=0.5*x+.25 y=0.5*y+ sqrt(3)/4
- Rule 3: x=0.5x+.5 y=.5*y
Write a script that calculates the x and y vectors and then plots y versus x as individual points.
Start with x1=0 and y1=0. Run the program three times, with 100, 1000, and 10000 iterations. Print all three plots.
I do not know where to start. I am thinking if and for loops but not sure.
采纳的回答
Almost forgot to post my code, hope this helps those who bother to search a little bit
clf
hold on
N=100000;
x=zeros(1,N);y=x;
for a=2:N
c=randi([0 2]);
switch c
case 0
x(a)=0.5*x(a-1);
y(a)=0.5*y(a-1);
case 1
x(a)=0.5*x(a-1)+.25;
y(a)=0.5*y(a-1)+sqrt(3)/4;
case 2
x(a)=0.5*x(a-1)+.5;
y(a)=0.5*y(a-1);
end
end
plot(x,y,'.')
title('Sierpinski’s triangle made in matlab by Paulo Silva')
legend(sprintf('N=%d Iterations',N))
更多回答（2 个）
Paulo Silva
2011-2-28
1 个投票
That is homework and nothing seems to be done so far, I won't do your homework, I will just point out what you need to know (with preallocation of memory)
- Learn how to create vectors with 1xN zeros
doc zeros
- Learn how to use the for loop
doc for
- Learn how to use the function randi
doc randi
- Learn how to use the function switch
doc switch
- Learn how to use the function plot
doc plot
Now here's the logic
#1 Decide the number of iterations you want N
#2 Allocate the space in memory for two vectors (x and y coordinates) 1xN
#3 Create a loop from 2 to N
#4 Do the randi to select what rule to apply
#5 Use the switch statement to use only one of the 3 rules
#6 After the loops ends do the plot of both vectors
%Free tip: %this updates the x value in each iteration (example of the first rule) x(IterationNumber)=0.5*x(IterationNumber-1); %Now I ask why I said to create a loop from 2 to N? can you find that out %in this tip?
Sean de Wolski
2011-2-28
0 个投票
You should start by asking your teacher since either they've failed at teaching you or you've failed at learning.
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