Barnsley-Fern
The Barnsley fern is a fractal named after the British mathematician Michael Barnsley who first described it in his book Fractals Everywhere. He made it to resemble the black spleenwort, Asplenium adiantum-nigrum.
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Construction
Barnsley’s fern uses four affine transformations. The formula for one transformation is the following:
Barnsley shows the IFS code for his Black Spleenwort fern fractal as a matrix of values shown in a table.[3] In the table, the columns “a” through “f” are the coefficients of the equation, and “p” represents the probability factor.
These correspond to the following transformations:
