matlab绘制peano（皮亚诺）曲线和koch（科赫曲线，雪花曲线）分形曲线

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