sierpinski地毯matlab
时间: 2023-10-31 12:49:00 浏览: 41
以下是使用MATLAB生成Sierpinski地毯的代码示例:
```matlab
% 设置迭代次数和初始矩形大小
n = 5;
rect = [0 0 1 1];
% 创建画布
figure('Color',[1 1 1]);
axis([0 1 0 1]);
axis square
set(gca,'xtick',[],'ytick',[],'box','on')
% 递归绘制Sierpinski地毯
sierpinski(rect, n);
function sierpinski(rect, n)
% 绘制Sierpinski地毯
if n == 0
% 绘制最小矩形
fill(rect([1 1 2 2]), rect([3 4 4 3]), [0 0 0]);
else
% 将矩形分成九个小矩形
w = rect(2) - rect(1);
h = rect(4) - rect(3);
x = rect(1);
y = rect(3);
sub_w = w / 3;
sub_h = h / 3;
for i = 0:2
for j = 0:2
if ~(i == 1 && j == 1)
sub_rect = [x+i*sub_w, y+j*sub_h, x+(i+1)*sub_w, y+(j+1)*sub_h];
sierpinski(sub_rect, n-1);
end
end
end
end
end
```
运行此代码将生成一个Sierpinski地毯图形,如下所示:
![Sierpinski地毯](https://i.loli.net/2021/07/24/1YvK7soI9fZ6Ak8.png)