leaf_by_recursion.m

包括Koch曲线、Levy 曲线、分形树、Sierpinski三角形

function leaf_by_recursion(n); 
% Renference: 
% http://www.cnartla.com/shejililun/lilun/200508/71.html 
% Author's emal:[e-mail] 
% 
if nargin==0; 
   n=2; 
end 
close all; 
hold on; 
LRf(n,i,pi*0.4,1); 
axis equal 
function LRf(n,z,A,r); 
q=0.85; 
R=0.36*pi; 
s=0.76; 
sc=0.45; 
ss=0.2; 
zz=z; 
for k=1:11; 
   zz(k+1)=zz(k)+r*q^k*exp(i*A); 
end 
plot(zz); 
rr=2*r; 
for k=1:10; 
   z1=zz(k+1)+rr*s^k*exp(i*(A+R)); 
   z2=zz(k+1)+rr*s^k*exp(i*(A-R)); 
   plot([z1,zz(k+1),z2]); 
end 
if n>0; 
   for k=2:10; 
       LRf(n-1,zz(k),A+R,r*sc*q^k); 
       LRf(n-1,zz(k),A-R,r*sc*q^k); 
       LRf(n-1,zz(k),A,r*ss*q^k); 
   end 
   LRf(n-1,zz(1),A,r/2*sc*q); 
   LRf(n-1,zz(11),A,r*ss*q^10); 
    
end