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#compass #exponent #formula #play
Published: 2019-04-20 21:40:37 +0000 UTC; Views: 494; Favourites: 16; Downloads: 2
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The very same motive as the previous , however with a subtle silk coloringPlaying around 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 EDIT 0+2i.
Software: Ultra Fractal.
Formula: Extended Compasses (adding a parameter "b". the full parameter space becoming a four dimensional hyper space).
Below the UF parametr file. Play and have fun
NotFromTheMandelbrotSet3_Silk {
fractal:
title="Not from the Mandelbrot Set3_Silk" width=800 height=600
layers=1 credits="Ingvar Kullberg;4/13/2019"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=1.26858565718/0.03192831804955 magn=164.80136
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=0/2
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-10
inside:
transfer=none
outside:
density=0.1 transfer=linear
gradient:
smooth=yes rotation=-92 index=26 color=1709847 index=38
color=16579582 index=47 color=3026462 index=87 color=223 index=105
color=255 index=-216 color=57075 index=-5 color=16777212
opacity:
smooth=no index=0 opacity=255
}
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Comments: 6
Mandelverse [2020-06-24 11:16:17 +0000 UTC]
👍: 0 ⏩: 1
FractalMonster In reply to Mandelverse [2020-06-24 20:53:13 +0000 UTC]
👍: 1 ⏩: 0
FractalMonster In reply to Leanndra51 [2019-07-18 22:47:03 +0000 UTC]
.. and thanks Lea for ALL the s
👍: 0 ⏩: 1
Leanndra51 In reply to FractalMonster [2019-07-19 03:00:10 +0000 UTC]
Thanks for all the par files and the information!
👍: 0 ⏩: 1