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Description
An in-zoom into the brances to the a right in the earlier deviation .

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 For d = 3 we actually have z^3 - 3a^2 z whic
The exponent "d" in this motive is set to 1.48+0i.

In this image I've used an inside routine called "period". written by my dear frined Greenseng here on dA.
This routine colors inside compomennts due to the period the critical point attracts on during iteration.

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

ColorfulMandysInStormyOcean {
fractal:
title="Colorful Mandys in Stormy Ocean" width=800 height=600
layers=1 credits="Ingvar Kullberg;5/29/2019"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.675538822045/0.892204439369 magn=64.903847
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=1.48/0
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=no
p_bailout=10000000 p_dbailout=1E-20
inside:
transfer=linear filename="sp.ucl" entry="Period" p_Skip=0 p_period=2
p_research=no p_cycle=5 p_auto=yes p_k=1E-6 p_start=90.0
outside:
density=0.1 transfer=linear
gradient:
smooth=yes rotation=-109 index=9 color=1709847 index=21
color=16579582 index=30 color=3026462 index=70 color=223 index=88
color=255 index=-233 color=57075 index=-22 color=16777212
opacity:
smooth=no index=0 opacity=255
}

Description
An in-zoom into the brances to the a right in the earlier deviation .

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 For d = 3 we actually have z^3 - 3a^2 z whic
The exponent "d" in this motive is set to 1.48+0i.

In this image I've used an inside routine called "period". written by my dear frined Greenseng here on dA.
This routine colors inside compomennts due to the period the critical point attracts on during iteration.

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

ColorfulMandysInStormyOcean {
fractal:
title="Colorful Mandys in Stormy Ocean" width=800 height=600
layers=1 credits="Ingvar Kullberg;5/29/2019"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.675538822045/0.892204439369 magn=64.903847
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=1.48/0
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=no
p_bailout=10000000 p_dbailout=1E-20
inside:
transfer=linear filename="sp.ucl" entry="Period" p_Skip=0 p_period=2
p_research=no p_cycle=5 p_auto=yes p_k=1E-6 p_start=90.0
outside:
density=0.1 transfer=linear
gradient:
smooth=yes rotation=-109 index=9 color=1709847 index=21
color=16579582 index=30 color=3026462 index=70 color=223 index=88
color=255 index=-233 color=57075 index=-22 color=16777212
opacity:
smooth=no index=0 opacity=255
}