END OF AN ERA, FRACTALFORUMS.COM IS CONTINUED ON FRACTALFORUMS.ORG it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
this forum will stay online for reference |
The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!
|
|
|
||||||
| z^z+c smoothed with params | ||||||
|
||||||
| Previous Image | Next Image | ||||||
| Description: z^z+c smoothed with params Bailout 256 As is obvious the z^z+c is very similiar in style to the exponential types e.g. exp(z)+c. The detail only shows when the bailout is large enough - i.e. the proof that if the magnitude sqrt(x^2+y^2) exceeds 2 then the point is outside *is only valid* for the standard Mandelbrot form i.e. either just z^2+c or maybe z^p+c or possibly any "plain" polynomial form - and certainly not true when one starts using more complicated functions. However using the "auto-power" method to calculate the divergence at bailout it's still possible to get smooth iteration colouring - and of course a smooth iteration fraction. Params for this image: Code: Fractal1 { fractal: title="Fractal1" width=928 height=696 layers=1 credits="Dave Makin;6/12/2012;D J Makin;12/20/2011;Dave Makin;10/5/2\ 011;David Makin;6/15/2008;Frederik Slijkerman;7/23/2002" layer: caption="Layer 1" opacity=100 method=multipass mapping: center=1.5/0 magn=0.8 formula: maxiter=1000 percheck=off filename="Standard.ufm" entry="Mandelbrot" p_start=0/0 p_xmod=2.0 p_ymod=2.0 p_power=2/0 p_bailout=256 inside: transfer=none outside: density=300 transfer=cuberoot filename="mmf3.ucl" entry="MMF3f-ExtCilia" p_method="Standard Div." p_bailout=256 p_dauto=yes p_power=2/0 p_usedfudge=no p_fudge=1.0 p_fudge1=1.0 p_ciliamode="Just iteration" p_split=2.0 p_olditer=No p_iterval=0.0 p_iterweight=50.0 p_logiter=Ident p_skew=0.0 p_rot=0.0 p_fixrot=no p_rpwr=5.0 p_fixskew=no p_smallbail=1E-5 p_cauto=yes p_cpower=2/0 p_usecfudge=no p_fudgec=1.0 p_fudge1c=1.0 p_cfixed=no p_cfixedval=1/0 p_cciliamode=Sawtooth p_csplit=2.0 p_fixconv=yes p_colditer="1 older" p_citerval=0.0 p_iterweightc=50.0 p_logiterc=Ident p_cskew=0.0 p_crot=0.0 p_cfixrot=no p_crpwr=5.0 p_cfixskew=no p_convoffset=0.0 p_zbasin=Off p_zscale=0.1 p_ip=1.0 gradient: smooth=yes rotation=1 index=77 color=6588220 index=156 color=13331306 index=238 color=16777197 index=357 color=6662911 opacity: smooth=no index=0 opacity=255 } Stats: Total Favorities: 0 View Who Favorited Filesize: 125.09kB Height: 696 Width: 928 Keywords: z^z smooth colouring Posted by: David Makin  June 12, 2012, 11:49:03 AMRating:  by 1 members.Image Linking Codes
|
||||||
| 0 Members and 1 Guest are viewing this picture. |
|
Comments (0)  |
Powered by SMF Gallery Pro
|
Powered by SMF 1.1.21 |
SMF © 2015, Simple Machines
|
Dilber MC Theme by HarzeM
|