Julifamily
From Ultrafractal Wiki
Julifamily is a Fractal Formula in sam.ufm.
Contents |
What is it?
This formula divides the plane into small squares and draws a Julia set in each one. The seed of the Julia is the center of the corresponding square. This enables you to see the "family" of the Julia sets (or at least a little part of it). You can use with it any coloring you would use on a standard Julia set. I have written a coloring and a transformation designed to the "family" formulas. There are two related formulas: Mandyfamily and Powered C Family. The Pinskyfamily formula you can find in kpk.ufm is a modification of Julifamily by Klaus-Peter Kubik that use the Sierpinsky formula instead of the Julia one. The coloring and the transform should work with it.
Parameters
Power
The power of the Julia sets (their symmetry).
Center
Allow to move each Julia set in its square. If it goes outside it, it will be cut.
Magnification
Determines the size of each Julia in its square.
Rotation
Determines the rotation of each Julia in its square.
Tiling displacement
Allow you to move the whole tiling. As the center of the square will change, the Julia sets will change, too.
Samuel Monnier
Examples
Copyright 2000 Samuel Monnier
julifam {
; Copyrights 2000 S. Monnier
; http://www.crosswinds.net/~s31415/index/index.htm
fractal:
title="julifam" width=400 height=400 author="Samuel"
created="March 20, 2000" numlayers=11
layer:
mapalpha=0 caption="New Layer 7" opacity=62 visible=yes alpha=yes
mergemode=multiply
mapping:
center=0/0 magn=1 angle=0 numtransforms=3
transform:
filename="dmj.uxf" entry="dmj-Clipping" p_scicenter=0/0
p_sciright=-1.86/0 p_scitop=1.00666666666666672/1.75333333333333344
p_scishape="square" p_rotation=no p_sciinside="inside" p_relative=no
transform:
filename="dmj.uxf" entry="dmj-Kaleidoscope" p_symorder=4
p_symreflect="left" p_symcenter=0/0 p_centermove=yes p_angle=0
transform:
filename="dmj.uxf" entry="dmj-Stretch" p_strcenter=0/0 p_centermove=yes
p_strscale=10/1 p_strangle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear repeat=yes
p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-fBm" density=0.299999999999999989
transfer=linear repeat=yes p_offset=0/0 p_scale=1 p_angle=0 p_step=0.5
p_anglestep=37 p_octaves=7 p_power=2
gradient:
smooth=yes numnodes=2 index=9 color=16777215 index=129 color=0
layer:
mapalpha=0 caption="New Layer 6" opacity=54 visible=yes alpha=yes
mapping:
center=0/0 magn=1 angle=0 numtransforms=1
transform:
filename="dmj.uxf" entry="dmj-Clipping" p_scicenter=0/0
p_sciright=-1.86/0 p_scitop=1.00666666666666672/1.75333333333333344
p_scishape="square" p_rotation=no p_sciinside="inside" p_relative=no
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear repeat=yes
p_mode="Final magnitude"
outside:
filename="sam.ucl" entry="OctogonalGradient" density=0.299999999999999989
transfer=linear repeat=yes p_angle=45
gradient:
smooth=yes numnodes=2 index=39 color=16777215 index=100 color=0
layer:
mapalpha=0 caption="Ajust Brightness" opacity=22 visible=yes alpha=yes
mergemode=hsladd
mapping:
center=0.24/0.48 magn=1.24481327800829872 angle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=none repeat=yes
p_mode="Final magnitude"
outside:
filename="Standard.ucl" entry="Default" transfer=linear repeat=yes
gradient:
smooth=yes numnodes=1 index=320 color=16777215
layer:
mapalpha=0 method=multipass caption="New Layer 9" opacity=100 visible=yes
alpha=yes mergemode=softlight
mapping:
center=0.24/0.48 magn=0.05 angle=90 numtransforms=1
transform:
filename="dmj.uxf" entry="dmj-Stretch" p_strcenter=0/0 p_centermove=yes
p_strscale=0/1.1 p_strangle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear repeat=yes
p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-fBm" transfer=linear repeat=yes
p_offset=0/0 p_scale=0.5 p_angle=0 p_step=0.5 p_anglestep=37 p_octaves=7
p_power=2
gradient:
smooth=yes numnodes=2 index=102 color=8816262 index=264 color=7171437
layer:
mapalpha=0 method=multipass caption="New Layer 4" opacity=100 visible=yes
alpha=yes mergemode=softlight
mapping:
center=0.24/0.48 magn=0.05 angle=0 numtransforms=1
transform:
filename="dmj.uxf" entry="dmj-Stretch" p_strcenter=0/0 p_centermove=yes
p_strscale=0/1.1 p_strangle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear repeat=yes
p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-fBm" transfer=linear repeat=yes
p_offset=0/0 p_scale=0.5 p_angle=0 p_step=0.5 p_anglestep=37 p_octaves=7
p_power=2
gradient:
smooth=yes numnodes=2 index=102 color=8816262 index=264 color=7171437
layer:
mapalpha=0 caption="New Layer 8" opacity=100 visible=yes alpha=yes
mergemode=difference
mapping:
center=0.24/0.48 magn=1.24481327800829872 angle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear repeat=yes
p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-fBm" transfer=linear repeat=yes
p_offset=0/0 p_scale=0.5 p_angle=0 p_step=0.5 p_anglestep=37 p_octaves=7
p_power=2
gradient:
smooth=yes numnodes=2 index=99 color=3223857 index=275 color=16777215
layer:
mapalpha=0 caption="New Layer 3" opacity=100 visible=yes alpha=yes
mergemode=hardlight
mapping:
center=-0.0995099000228599936/0.799629142564558336
magn=7.42061885937891584 angle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear repeat=yes
p_mode="Final magnitude"
outside:
filename="sam.ucl" entry="FamilyGradient" density=0.100000000000000006
transfer=arctan repeat=yes p_mode="Squares" p_tilem=0/0 p_sizesq=0.1
p_rottile=0
gradient:
smooth=yes numnodes=4 index=38 color=8355711 index=39 color=5592405
index=40 color=13092807 index=128 color=8355711
layer:
insolid=9868950 mapalpha=0 caption="New Layer 5" opacity=70 visible=yes
alpha=yes mergemode=difference
mapping:
center=-0.0995099000228599936/0.799629142564558336
magn=7.42061885937891584 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping"
p_mode="Unselected Tiles Solid"
p_tilesel1=-0.1156810580184404/0.803222733230242944
p_tilesel2=-0.7618/0.56866666666666656 p_tilesel3=1E20/0
p_tilesel4=1E20/0 p_tilem=0/0 p_sizesq=0.1 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.45 p_rot=0 p_tilem=0/0 p_sizesq=0.1
p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=none repeat=yes
p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-Triangle" density=0.100000000000000006
transfer=arctan repeat=yes p_apower=1 p_aflavor="normal" p_power=2
p_bailout=1E20
gradient:
smooth=no numnodes=1 index=0 color=0
layer:
inalpha=0 mapalpha=0 caption="New Layer 2" opacity=100 visible=yes
alpha=yes mergemode=hardlight
mapping:
center=-0.0995099000228599936/0.799629142564558336
magn=7.42061885937891584 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping" p_mode="Checkerboard Out"
p_tilesel1=1E20/0 p_tilesel2=-0.7618/0.56866666666666656
p_tilesel3=1E20/0 p_tilesel4=1E20/0 p_tilem=0/0 p_sizesq=0.1 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.45 p_rot=0 p_tilem=0/0 p_sizesq=0.1
p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=none repeat=yes
p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-Triangle" density=0.100000000000000006
transfer=arctan repeat=yes p_apower=1 p_aflavor="normal" p_power=2
p_bailout=1E20
gradient:
smooth=no numnodes=2 index=52 color=16777215 index=390 color=0
layer:
mapalpha=0 caption="New Layer 1" opacity=100 visible=yes alpha=yes
mapping:
center=-0.0995099000228599936/0.799629142564558336
magn=7.42061885937891584 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping" p_mode="Checkerboard Out"
p_tilesel1=1E20/0 p_tilesel2=-0.7618/0.56866666666666656
p_tilesel3=1E20/0 p_tilesel4=1E20/0 p_tilem=0/0 p_sizesq=0.1 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.45 p_rot=0 p_tilem=0/0 p_sizesq=0.1
p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" density=0.5 transfer=linear
repeat=yes p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-Smooth" density=0.100000000000000006
transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
smooth=no numnodes=2 index=52 color=16777215 index=387 color=0
layer:
mapalpha=0 caption="Layer 1" visible=yes alpha=yes
mapping:
center=-0.0995099000228599936/0.799629142564558336
magn=7.42061885937891584 angle=0 numtransforms=1
transform:
filename="samobs.uxf" entry="<<Family>>Mapping"
p_mode="Selected Tiles Solid" p_tilesel1=1E20/0 p_tilesel2=1E20/0
p_tilesel3=1E20/0 p_tilesel4=1E20/0 p_tilem=0/0 p_sizesq=0.6 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.45 p_rot=0 p_tilem=0/0 p_sizesq=0.1
p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" transfer=linear offset=200
repeat=yes p_mode="Final magnitude"
outside:
filename="dmj.ucl" entry="dmj-Smooth" density=0.100000000000000006
transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
smooth=no numnodes=2 index=52 color=0 index=387 color=16777215
}
Copyright 2000 Samuel Monnier
julifa {
; Copyrights 2000 S. Monnier
; http://www.crosswinds.net/~s31415/index/index.htm
fractal:
title="julifa" width=400 height=400 author="Samuel"
created="April 6, 2000" numlayers=10
layer:
mapalpha=0 caption="Big One" opacity=90 visible=yes alpha=yes
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping" p_mode="Gird Out"
p_tilesel1=1E20/0 p_tilesel2=1E20/0 p_tilesel3=1E20/0 p_tilesel4=1E20/0
p_tilem=0/0 p_sizesq=0.4 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.5 p_rot=0 p_tilem=0/0 p_sizesq=0.4
p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" density=4 transfer=linear
repeat=yes p_mode="Average magnitude"
outside:
filename="dmj.ucl" entry="dmj-Smooth" density=0.100000000000000006
transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
smooth=no numnodes=2 index=60 color=0 index=379 color=16777215
layer:
caption="Large Frame" opacity=100 visible=yes alpha=no mergemode=overlay
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="Standard.ucl" entry="Default" density=30 transfer=cube
offset=200 repeat=yes
outside:
filename="sam.ucl" entry="FamilyGradient" density=0.100000000000000006
transfer=arctan repeat=yes p_mode="Squares" p_tilem=0.1/0.1 p_sizesq=0.2
p_rottile=0
gradient:
smooth=no numnodes=2 index=39 color=8355711 index=41 color=0
layer:
caption="Large light" opacity=39 visible=yes alpha=no mergemode=softlight
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping"
p_mode="Selected Tiles Solid"
p_tilesel1=-0.523283368888888889/-0.0743154222222222222
p_tilesel2=-1.17070828444444444/0.100043271111111111
p_tilesel3=-0.716564711111111111/0.314950497777777778
p_tilesel4=-0.6625/-0.2703 p_tilem=0.1/0.1 p_sizesq=0.2 p_rottile=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="Standard.ucl" entry="Default" density=30 transfer=cube
offset=200 repeat=yes
outside:
filename="Standard.ucl" entry="Default" density=0.100000000000000006
transfer=arctan repeat=yes
gradient:
smooth=no numnodes=1 index=48 color=8355711
layer:
mapalpha=0 caption="Large" opacity=90 visible=yes alpha=yes
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0 numtransforms=2
transform:
filename="sam.uxf" entry="<<Family>>Mapping"
p_mode="Selected Tiles Solid"
p_tilesel1=-0.715213093333333333/-0.266245146666666667 p_tilesel2=1E20/0
p_tilesel3=1E20/0 p_tilesel4=1E20/0 p_tilem=0.1/0.1 p_sizesq=0.2
p_rottile=0
transform:
filename="sam.uxf" entry="<<Family>>Mapping" p_mode="Checkerboard In"
p_tilesel1=1E20/0 p_tilesel2=1E20/0 p_tilesel3=1E20/0 p_tilesel4=1E20/0
p_tilem=0.1/0.1 p_sizesq=0.2 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.5 p_rot=0 p_tilem=0.1/0.1 p_sizesq=0.2
p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" density=5 transfer=linear
repeat=yes p_mode="Average magnitude"
outside:
filename="dmj.ucl" entry="dmj-Smooth" density=0.100000000000000006
transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
smooth=no numnodes=2 index=60 color=0 index=379 color=16777215
layer:
caption="Medium Frame" opacity=100 visible=yes alpha=no mergemode=overlay
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="Standard.ucl" entry="Default" density=30 transfer=cube
offset=200 repeat=yes
outside:
filename="sam.ucl" entry="FamilyGradient" density=0.100000000000000006
transfer=arctan repeat=yes p_mode="Squares" p_tilem=0.05/0.05
p_sizesq=0.1 p_rottile=0
gradient:
smooth=no numnodes=2 index=39 color=8355711 index=41 color=0
layer:
caption="Meduim Light" opacity=39 visible=yes alpha=no
mergemode=softlight
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping"
p_mode="Selected Tiles Solid"
p_tilesel1=-0.436779831111111112/0.0649012088888888888
p_tilesel2=-1.05987562666666667/0.241963137777777778
p_tilesel3=-0.94228488/-0.266245146666666666
p_tilesel4=-0.530041457777777778/-0.24597088 p_tilem=0.05/0.05
p_sizesq=0.1 p_rottile=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="Standard.ucl" entry="Default" density=30 transfer=cube
offset=200 repeat=yes
outside:
filename="Standard.ucl" entry="Default" density=0.100000000000000006
transfer=arctan repeat=yes
gradient:
smooth=no numnodes=1 index=48 color=8355711
layer:
mapalpha=0 caption="Medium" opacity=90 visible=yes alpha=yes
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping" p_mode="Checkerboard Out"
p_tilesel1=1E20/0 p_tilesel2=1E20/0 p_tilesel3=1E20/0 p_tilesel4=1E20/0
p_tilem=0.05/0.05 p_sizesq=0.1 p_rottile=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.5 p_rot=0 p_tilem=0.05/0.05
p_sizesq=0.1 p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" density=3 transfer=linear
offset=300 repeat=yes p_mode="Average magnitude"
outside:
filename="dmj.ucl" entry="dmj-Smooth" density=0.100000000000000006
transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
smooth=no numnodes=2 index=60 color=0 index=379 color=16777215
layer:
caption="Small Frame" opacity=100 visible=yes alpha=no mergemode=overlay
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="Standard.ucl" entry="Default" density=30 transfer=cube
offset=200 repeat=yes
outside:
filename="sam.ucl" entry="FamilyGradient" density=0.100000000000000006
transfer=arctan repeat=yes p_mode="Squares" p_tilem=0.025/0.025
p_sizesq=0.05 p_rottile=0
gradient:
smooth=no numnodes=2 index=38 color=8355711 index=40 color=0
layer:
caption="Smal Light" opacity=25 visible=yes alpha=no mergemode=softlight
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0 numtransforms=1
transform:
filename="sam.uxf" entry="<<Family>>Mapping" p_mode="Checkerboard Out"
p_tilesel1=1E20/0 p_tilesel2=1E20/0 p_tilesel3=1E20/0 p_tilesel4=1E20/0
p_tilem=0.025/0.025 p_sizesq=0.05 p_rottile=0
formula:
filename="mt.ufm" entry="mt-pixel" maxiter=100 percheck=normal
p_inside=no
inside:
filename="Standard.ucl" entry="Default" density=30 transfer=cube
offset=200 repeat=yes
outside:
filename="Standard.ucl" entry="Default" density=0.100000000000000006
transfer=arctan repeat=yes
gradient:
smooth=no numnodes=1 index=48 color=16777215
layer:
caption="Small" visible=yes alpha=no
mapping:
center=-0.797661777777777778/2.35555555555555556E-5
magn=4.93236089098167135 angle=0
formula:
filename="sam.ufm" entry="Multijul" maxiter=100 percheck=normal
p_power=2/0 p_center=0/0 p_magn=0.5 p_rot=0 p_tilem=0.025/0.025
p_sizesq=0.05 p_rottile=0 p_bailout=1E20
inside:
filename="mt.ucl" entry="mt-magnitude" density=4 transfer=linear
offset=200 repeat=yes p_mode="Average magnitude"
outside:
filename="dmj.ucl" entry="dmj-Smooth" density=0.100000000000000006
transfer=arctan repeat=yes p_power=2/0 p_bailout=128
gradient:
smooth=no numnodes=2 index=60 color=0 index=379 color=16777215
}
