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Description
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Please first take a look at . This motive is drawn uses the formula z -> z^d – da^(d-1) z + b, where the exponent d = 1 + 11i, the parameter “a” is plotted, the parameter b = 0, and “z” is initialized to the critical point “a”. Moreover Diff-bailout is used, coloring 1-periodic components after the number of iterations required to take the critical point to a fixed point. These components are the roof and the vivid colored mandy bud hanging from the roof.

Now we catch the center coordinate the above mentioned colored mandy bud and perform a double perpendicular rotation, possible only in a space with at least four spatial dimensions As we in our formula (z -> z^d – da^(d-1) z + b), like in cubic parameter space, have two complex parameters, that means that we switch to plot the b-plane instead. How to perform such rotations are well described in articles 21 and 22 in my Chaotic series of fractal articles. In this deviation the center of the mandy bud ( the location and magnification) of the motive have been slightly adjusted) is exactly the same as the center of the above mentioned mandy bud in Alien Forest fractalmonster.deviantart.com/… (which ought to be called “Alien Forest _Plane1”).

The motive is drawn by the compass formula (Extended Compasses) for Ultra Fractal. For more info of this formula, 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 .

No filters or post processing

Below the parameter file. Play and have fun

AlienForest_Plane6 {
fractal:
title="AlienForest_Plane6" width=800 height=600 layers=1
credits="Ingvar Kullberg;7/26/2009"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.026978558545/-0.06155289547 magn=4 angle=-65
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=1/11
p_PlottedPlane="6.(b-real,b-imag)" p_hide=no p_areal=1.126215259077
p_aimag=0.2494541454632 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-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-58 index=11 color=3158085 index=111
color=16769274 index=229 color=20735 index=-58 color=9043968
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1280x960 resolution

Please first take a look at . This motive is drawn uses the formula z -> z^d – da^(d-1) z + b, where the exponent d = 1 + 11i, the parameter “a” is plotted, the parameter b = 0, and “z” is initialized to the critical point “a”. Moreover Diff-bailout is used, coloring 1-periodic components after the number of iterations required to take the critical point to a fixed point. These components are the roof and the vivid colored mandy bud hanging from the roof.

Now we catch the center coordinate the above mentioned colored mandy bud and perform a double perpendicular rotation, possible only in a space with at least four spatial dimensions As we in our formula (z -> z^d – da^(d-1) z + b), like in cubic parameter space, have two complex parameters, that means that we switch to plot the b-plane instead. How to perform such rotations are well described in articles 21 and 22 in my Chaotic series of fractal articles. In this deviation the center of the mandy bud ( the location and magnification) of the motive have been slightly adjusted) is exactly the same as the center of the above mentioned mandy bud in Alien Forest fractalmonster.deviantart.com/… (which ought to be called “Alien Forest _Plane1”).

The motive is drawn by the compass formula (Extended Compasses) for Ultra Fractal. For more info of this formula, 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 .

No filters or post processing

Below the parameter file. Play and have fun

AlienForest_Plane6 {
fractal:
title="AlienForest_Plane6" width=800 height=600 layers=1
credits="Ingvar Kullberg;7/26/2009"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.026978558545/-0.06155289547 magn=4 angle=-65
formula:
maxiter=10000 percheck=off filename="ik3.ufm"
entry="ExtendedCompasses" p_exponent=1/11
p_PlottedPlane="6.(b-real,b-imag)" p_hide=no p_areal=1.126215259077
p_aimag=0.2494541454632 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-6
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-58 index=11 color=3158085 index=111
color=16769274 index=229 color=20735 index=-58 color=9043968
opacity:
smooth=no index=0 opacity=255
}