Barnsley fern is a fractal shape created by mathematician Michael Barnsley. The geometric features of this fractal resemble a natural fern and hence it gets its name. Barnsley fern is created by iterating over a large number of times on four mathematical equations, introduced by Barnsley, known as Iterated Function System (IFS).
The transformation Barnsley used had the formula :
where, the letters had following value :
and “p” is the probability.
Thus the four equations are:
With the help of above equations, the fern is created. Now lets see the Python3 implementation for the same.
Note: The whole output depends upon the coefficients of the equations. One experiment might be to change the coefficients and get a new pattern every time.