10 "Fișier:Part_of_parameter_plane_with_external_5_rays_landing_on_the_Mandelbrot_set.png".

Fișier:Part of parameter plane with external 5 rays landing on the Mandelbrot set.png

described in the book : "How To Write A Book About The Mandelbrot Set" by Claude Heiland-Allen This image show part of parameter plane of complex quadratic...


Fișier:One arm spiral - part of Mandelbrot set.png

sh # angle or external parameter ray angle=63/33554432 # info from program Mandel by Wolf Jung http://mndynamics.com/indexp.html # The angle 63/33554432...


Fișier:Feigenbaum stretch.png

The corresponding parameter rays are landing at the root of a satellite component of period 8. It is bifurcating from period 4. draw_external_ray(image...


Fișier:Part of parameter plane with Mandelbrot set and bifurcation point 13 over 34 of the main cardioid.png

main cardioid landing point of above ray = bifurcation point = root point of component with period 34 pair of external rays landin on the root point Root...


Fișier:Parabolic Julia set for internal angle 1 over 15.png

aproximated by external rays that land on alfa fixed point. In RaysArray there are description of these rays. // array of turns FillRaysArray(iterMax);...


Fișier:Parabolic Julia set for internal angle 1 over 20.png

compute and draw external rays landing on the fixed point alfa \n"); ComputeRays( rays, iPeriodChild, iterMax); SaveArray2PGMFile( rays,...


Fișier:Dynamic plane for parabolic parameter from period 2 thru internal angle 1 over 2.png

sector is it. Color = number of sector Interior target set should be all inside Julia set ( of course not counting external rays that cross it and exterior...


Fișier:Parabolic Julia set for internal angle 1 over 30 with target set.png

z^2 + c parameter c = 0.2606874359562527 , 0.0022716846399296 c is a root point between hyperbolic components of period 1 and 30 of Mandelbrot set combinatorial...


Fișier:Siegel quadratic 3,2,1000,1... ,.png

sets, z is the variable and c is a constant. Therefore df[n+1](z)/dz = 2*f[n]*f'[n] -- you don't add 1. For the Mandelbrot set on the parameter plane...


Fișier:Parabolic Julia set for internal angle 1 over 30.png

z^2 + c parameter c = 0.2606874359562527 , 0.0022716846399296 c is a root point between hyperbolic components of period 1 and 30 of Mandelbrot set combinatorial...