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#compass #exponent #formula #play
Published: 2019-06-08 11:15:45 +0000 UTC; Views: 576; Favourites: 32; Downloads: 10
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Playing with the exponent in my compass formula, z -> z^d - da^(d-1) z. See my journal Fractal CompassesNow, my dear readers, I wanna promote the article,27) Compasses
in my Chaotic series. Along with this journal there are four deviations uploaded,
Compass_d=2
Compass_d=3
Compass_d=4
Compass_d=5
The “d” is the exponent in the iterated polynom p(z) = z^d - da^(d-1) z, the a-plane plotted and “z” initialized to the critical point z = +a. Why this formula is called the “Compass formula”? Well, just look at the above deviations, especially for d = 3 and higher
The exponent "d" in this motive is set to 0.875+0i.
Also playing with Diff-bailout coloring 1-periodig components according to the number of iterations required to take the variable to a fix point.
This routine in htese images also give rise to artifacts which is used by me in these images, the artifacts depending of the Dbailout ..
Software: Ultra Fractal.
Formula: Extended Compasses (adding a parameter "b". the full parameter space becoming a four dimensional hyper space).
TheLimitationDissolves {
fractal:
title="The Limitation Dissolves" width=800 height=600 layers=1
credits="Ingvar Kullberg;5/18/2019"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=-8.7356598285862457985e-11/0 magn=7.338366E9
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=0.875/0
p_PlottedPlane="1.(a-real,a-imag)" p_hide=yes p_areal=0.0
p_aimag=0.0 p_breal=0.0 p_bimag=0.0 p_xrot=0.0 p_yrot=0.0
p_xrott=0.0 p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=yes
p_bailout=10000000 p_dbailout=1E-20
inside:
transfer=none
outside:
density=0.1 transfer=linear
gradient:
smooth=yes rotation=-125 index=5 color=16579582 index=14
color=3026462 index=54 color=223 index=72 color=255 index=-249
color=57075 index=-38 color=16777212 index=-7 color=1709847
opacity:
smooth=no index=0 opacity=255
}
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Comments: 8
FractalMonster In reply to nooneelsehasthisname [2019-06-09 17:51:05 +0000 UTC]
Really glad you like it
Guess you've heard about fractals before?
👍: 0 ⏩: 1
nooneelsehasthisname In reply to FractalMonster [2019-08-10 03:57:09 +0000 UTC]
Sorry for slow response. Yes I have just gotten into fractals. I use them a lot in my art in instagram..
👍: 0 ⏩: 1
FractalMonster In reply to nooneelsehasthisname [2019-08-10 11:25:53 +0000 UTC]
OK Then IF you wanna try some free simple fractal software of "Mandel an Julia" type, go to this journal. You don't need to know the math behind
(if the links to my external pages don't work, check out this journal)
Maybe you would appreciate my Chaotic series of fractal articles (<- click) if you have a little theoretical interest
Regarding deep zooms in the Mandelbrot set, if you check out my deviation Cauliflowerfort and click the link under "Artist's Comments", from page 4 you can follow the entire zoom sequence in 28 steps
In this journal you have some links to cool fractal animations I stumbled over at YouTube. Also check out the zoom videos in this journal
.. and from the middle of the nineties there is a fantastic TV program about fractals, Colors of Infinity by Arthur Clarke Really beautiful soundtracks by Pink Floyd
(the above info is recycled)
👍: 0 ⏩: 1
nooneelsehasthisname In reply to FractalMonster [2019-08-11 12:44:46 +0000 UTC]
Wow! Thanks a lot!
👍: 0 ⏩: 1
FractalMonster In reply to nooneelsehasthisname [2019-08-11 13:27:37 +0000 UTC]
My pleasure Really glad if you obtain some inspiration
👍: 0 ⏩: 0
FractalMonster In reply to Leanndra51 [2019-06-08 17:17:33 +0000 UTC]
Dangerous to the fractal
👍: 0 ⏩: 0