NCTM 2021
Julia Sets

In this diagram, we highlight all points x0 on the complex plane, for which the recursive sequence xn=xn12+c is bounded (it doesn't diverge).

xn=xn12+${complex(c)}
x0=${complex(x0)}
x1=${complex(x1)}
x2=${complex(x2)}
x3=${complex(x3)}
Bounded!Diverges!