A Julia set fractal obtained by iterating the function
![z_(n+1)=c(z_n-sgn(R[z_n])),](/images/equations/BarnsleysTree/NumberedEquation1.svg) |
where 
is the sign function and ![R[z]](/images/equations/BarnsleysTree/Inline2.svg)
is the real part of 
. The plot above sets 
and uses a maximum of 50 iterations with escape radius
2.
Barnsley's Tree
See also
Barnsley's Fern, Julia Set, Mandelbrot Tree, Pythagoras TreeExplore with Wolfram|Alpha
References
Barnsley, M. Fractals Everywhere, 2nd ed. Boston, MA: Academic Press, 1993.Referenced on Wolfram|Alpha
Barnsley's TreeCite this as:
Weisstein, Eric W. "Barnsley's Tree." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/BarnsleysTree.html