Von Koch Snowflake

Written by Paul Bourke

Fractal Dimension: log(4)/log(3) = 1.262

L-ystems

axiom = F++F++F
F -> F-F++F-F
angle = 60

IFS

The IFS equations are as follows

x_n+1 = a x_n + b y_n + e

y_n+1 = c x_n + d y_n + f

The parameter table:

                   set 1     set 2     set 3     set 4  
             a     0.3330    0.3330    0.1670    0.1670 
             b     0.0000    0.0000   -0.2890    0.2890 
             c     0.0000    0.0000    0.2890   -0.2890 
             d     0.3330    0.3330    0.1670    0.1670 
             e    -0.3330    0.3330   -0.0830    0.0830 
             f     0.0000    0.0000    0.1440    0.1440