koch曲线

matlab plot函数绘制koch曲线程序，程序还是比较简单的，这里只绘制出了雪花的三分之一

function koch_curve(number)%number代表koch的阶数，范围为大于等于2

figure

set(gcf,'position',[0,0,1920,1080]);%设置窗口分辨率，[0,0]和[1920,1080]分别为窗口左上角和右下角坐标可根据自己的屏幕分辨率调整，注释掉这句则使用matlab默认窗口分辨率

n=2;

koch1=[0,0;1,0];

for i=1:number

koch2=zeros(4*n-3,2);

k=2;

for j=2:n

koch2(k,:)=[(koch1(j-1,1)*2+koch1(j,1))/3,(koch1(j-1,2)*2+koch1(j,2))/3];

koch2(k+1,:)=[(koch1(j-1,1)+koch1(j,1)+sqrt(3)*(koch1(j-1,2)-koch1(j,2))/3)/2,(koch1(j-1,2)+koch1(j,2)-sqrt(3)*(koch1(j-1,1)-koch1(j,1))/3)/2];

koch2(k+2,:)=[(koch1(j,1)*2+koch1(j-1,1))/3,(koch1(j,2)*2+koch1(j-1,2))/3];

koch2(k+3,:)=koch1(j,:);

k=k+4;

end

n=4*n-3;

x=koch2(:,1);

y=koch2(:,2);

plot(x,y)

axis equal

koch1=koch2;

pause(1);

end

end

matlab 绘制皮亚诺曲线

function peano_curve(n)

peano_old=[0,0;0,1;0.5,1;0.5,0;1,0;1,1];

x=peano_old(:,1);

y=peano_old(:,2);

figure

set(gcf,'position',[0,0,1920,1080]);

plot(x,y)

axis equal

for i=1:n-1

p1=[peano_old(:,1),2+1/(3^i-1)-peano_old(:,2)];

p1=p1(length(p1):-1:1,:);

p2=[p1(:,1),4+3/(3^i-1)-p1(:,2)];

p2=p2(length(p2):-1:1,:);

peano_new=[peano_old;p1;p2];

p1=[2+1/(3^i-1)-peano_new(:,1),peano_new(:,2)];

p1=p1(length(p1):-1:1,:);

p2=[4+3/(3^i-1)-p1(:,1),p1(:,2)];

p2=p2(length(p2):-1:1,:);

peano_new=[peano_new;p1;p2];

peano_old=peano_new/(3+2/(3^i-1));

x=peano_old(:,1);

y=peano_old(:,2);

plot(x,y)

axis equal

pause(1)

end

end