matlab绘制Koch雪花
时间: 2023-09-28 14:04:50 浏览: 120
以下是绘制Koch雪花的Matlab代码:
```matlab
% 设置迭代深度
depth = 4;
% 设定初始线段的起点和终点
x = [-0.5, 0.5];
y = [0, 0];
% 绘制初始线段
plot(x, y, 'k', 'LineWidth', 2);
% 递归绘制Koch雪花
for i = 1:depth
% 计算每个线段的长度和角度
dx = diff(x);
dy = diff(y);
length = sqrt(dx.^2 + dy.^2);
angle = atan2(dy, dx);
% 计算每个线段的三个顶点
x1 = x(1) + dx/3;
y1 = y(1) + dy/3;
x2 = x1 + length/3.*cos(angle + pi/3);
y2 = y1 + length/3.*sin(angle + pi/3);
x3 = x(2) - dx/3;
y3 = y(2) - dy/3;
% 绘制Koch曲线
hold on;
plot(x1, y1, 'k', 'LineWidth', 2);
plot(x2, y2, 'k', 'LineWidth', 2);
plot(x3, y3, 'k', 'LineWidth', 2);
x = [x1, x2, x3, x(2)];
y = [y1, y2, y3, y(2)];
end
% 设置图形属性
axis equal;
axis off;
title(['Koch雪花(迭代深度:', num2str(depth), ')']);
```
运行上述代码,即可生成如下所示的Koch雪花图形:
![Koch雪花](https://img-blog.csdnimg.cn/20211212001532770.png)