Julia Set

Author

Eric W. Weisstein
February 16, 2008

This notebook downloaded from http://mathworld.wolfram.com/notebooks/Fractals/JuliaSet.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/JuliaSet.html.

©2008 Wolfram Research, Inc. except for portions noted otherwise

Integer c

V5

Show[GraphicsArray[Partition[Table[JuliaSet[50,c,3,2{{-1,1},{-1,1}},ColorFunction->Hue,PlotPoints->200,DisplayFunction->Identity,PlotLabel->TraditionalForm[HoldForm[c]==c]],{c,-2,3}],3]],ImageSize->500]

V6

GraphicsGrid[Partition[Table[JuliaSet[50,c,3,2{{-1,1},{-1,1}},ColorFunction->Hue,ClippingStyle->Automatic,PlotPoints->50,MaxRecursion->3,PlotLabel->HoldForm[c]==c],{c,-2,3}],3],ImageSize->500]

Miscellaneous

Peitgen and Saupe

FilledJuliaSet[.25,450,250,-.9,.9,-1.2,1.2,30]

FilledJuliaSet[-.3,450,200,-1.4,1.4,-1.,1.,30]

FilledJuliaSet[-.9+.12I,400,200,-1.6,1.6,-.85,.85,30]