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