Mandel Julia

From Ultrafractal Wiki

Mandel Julia is a Fractal Formula in gnd.ufm

Gilles' Initial Post

I just made an updated version of a new formula "Mandel Julia."

It is based on formulas Sylvie Gallet, Gerald Dobiasovsky and Stig Pettersson. Here is an upr example.

Gilles

Copyright © 2008 by Gilles Nadeau

MandelJulia01 {
; Copyright © 2008 by Gilles Nadeau.
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}

Response from Reinhold

Hello Gilles,

Congratulation! A beautiful upr.

I have one played little with it and pushed on the search of beautiful spirals on below-mentioned.

But oh! With the felt me almost calculate (one-pass linear) I like to DOS-times, as conceivably the calculations several days (!) lasted. I let it counted on 1440/900 pxl and enjoyed the procedure at the Full-Screen.  :-))

My question\: Are the algorithms would use by me so arithmetic-intensively or must I think of a new computer soon?

It would please me to hear from you.

Friendly greetingses Reinhold (errjott))

Default_Spirales_2 {
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}

Response from Dan

hi Gilles,

Thanks heaps for sharing that formula (Mandel Julia), it's very cool!! :D I might have to dust off uprMash and see how it looks when motion-blurred.

I have only had a small play but I found this lovely cute little gem by putting 'exponential smoothing' everywhere, cranking up the bailout and looking around some different power (exponent) settings:

MandeljuliaGem {
fractal:
  title="MandeljuliaGem" width=1024 height=1024 layers=1
  credits="dan wills;3/16/2008;Frederik Slijkerman;7/23/2002"
layer:
  method=multipass caption="Background" opacity=100
mapping:
  center=-0.5436947981/0 magn=24.975675 angle=-90
formula:
  maxiter=500 percheck=off filename="gnd.ufm" entry="gnd-MandelJulia"
  p_version=1.1 p_seed=0.26/0 p_power=1.61/0 p_method=1
  p_bailout=4000000000000000000000000000000000000000000000000000000000\
  00000
inside:
  density=.5 transfer=sqrt filename="Standard.ucl"
  entry="ExponentialSmoothing" p_diverge=yes p_converge=yes
  p_divergescale=1.0
outside:
  density=.5 transfer=sqrt filename="Standard.ucl"
  entry="ExponentialSmoothing" p_diverge=yes p_converge=yes
  p_divergescale=1.0
gradient:
  smooth=yes rotation=-434 index=8 color=16508367 index=-785
  color=16756311 index=-766 color=6946890 index=-707 color=4571391
  index=-1060 color=16777215 index=-1021 color=2794992 index=-989
  color=160 index=-915 color=0 index=-860 color=0 index=-831
  color=327802
opacity:
  smooth=no index=0 opacity=255
}