Julia and Mandelbrot Explorer Options


The fractal explorer controls are:

ShadeIterationDensity
The partition block is colored black if the orbit of z is certified as being bounded -- otherwise:
OptionResult
Colorthe partition block is colored by the escape value for the orbit of z (mod 7): magenta, blue, cyan, green, yellow, orange, red
Blackthe partition block is colored white if the orbit escapes prior to the iteration bound
OptionResult
ShortThe iteration bound is set at 13 iterations for certifying the orbit of z to be bounded
MediumThe iteration bound is set at 27 iterations for certifying the orbit of z to be bounded
LongThe iteration bound is set at 55 iterations for certifying the orbit of z to be bounded
VeryLongThe iteration bound is set at 111 iterations for certifying the orbit of z to be bounded
OptionResult
UltraFinePartitions the the viewing window into blocks of size 1 pixel
FinePartitions the the viewing window into blocks of size 2 pixels
MedFinePartitions the the viewing window into blocks of size 5 pixels
MedCoarsePartitions the the viewing window into blocks of size 10 pixels
CoarsePartitions the the viewing window into blocks of size 20 pixels
EquationFractalZoom
Specifies the iteration equation.
OptionResult
Quadz -> z2 + c
Altz -> z - z2 + c
Specifies the fractal type.
OptionResult
JuliaThe parameter c is fixed (set by the mouse click under Zoom=Normal) and for each z running over the viewing window the orbit of z is computed under the iteration equation
MandelbrotThe parameter c runs over the viewing window and for each c the the orbit of z=0 is computed under the iteration equation
OptionResult
ZoomInPlusCenters the viewing window at the mouse click and resizes the window by factor of 1/10
ZoomInCenters the viewing window at the mouse click and resizes the window by factor of 1/2
NormalResets the viewing window to the default view (center=0; size=4)
ZoomOutCenters the viewing window at the mouse click and resizes the window by factor of 2
ZoomOutPlusCenters the viewing window at the mouse click and resizes the window by factor of 10

Return to fractal explorer.