MiniBrot
From Ultrafractal Wiki
A small shape which is similar to the Mandelbrot Set. Also called a Bud or Midget.
See also
On the subject of minibrots, see the small dots in each iteration level in the first UPR below ?
Well try zooming into (the centre of) one of them and you'll eventually get a result like the second UPR (don't zoom into one too near the "inside" because the higher iteration band ones require extremely deep zooming).
Note that the number of isolated dots doubles in each iteration band.
All the "usual" Mandelbrot mini's are there too I think :)
This is the "most" mini-Mandelbrots I've found in a single formula ("most" being a relative term since the number is infinite even for z2+c).
bye Dave Makin
MiniFractal1 {
fractal:
title="MiniFractal1" width=640 height=480 layers=1
credits="David Makin;10/16/2008;Frederik Slijkerman;7/23/2002"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=-0.0333593749995/0.00109375003 magn=16.537468
formula:
maxiter=100 percheck=off filename="mmf3.ufm" entry="MMF3d-Magic"
p_search=None p_searchdepth=12 p_startscale=1E20 p_searchreal=yes
p_searchimag=no p_autooff=no p_value=0/0 p_zstart=0/0 p_c=4/0
p_c1=1/0 p_c2=100/0 p_c3=1/0 p_c4=0.5/0 p_c5=1/0 p_c6=1/0
p_power=2/0 p_power1=2/0 p_power2=0.5/0 p_showmap=yes
p_usevalue="Unused (ie. nothing)" p_usepixel="Constant c"
p_usecentre=0/0 p_usescale=1.0 p_swvalue="Constant c"
p_swpixel=Zstart p_swcentre=0/0 p_swscale=1.0 p_showmod=yes
p_sigma=no p_product=no p_selfrot=no p_ang=0.0 p_t=0/0 p_m=1/0
p_n=0/1 f_fn1=ident p_fixfn=no p_flip=no p_smallbail=divergent
p_bailout=65536.0 p_bailout1=1E-5 p_smooth=Frac+Atan
inside:
transfer=none
outside:
density=10000 transfer=cuberoot filename="mmf3.ucl"
entry="MMF3f-ExtCilia" p_method="Hinrich's Div." p_bailout=65536
p_dauto=yes p_power=2/0 p_usedfudge=no p_fudge=1.0 p_fudge1=1.0
p_ciliamode="Just iteration" p_split=2.0 p_olditer=No p_iterval=0.0
p_iterweight=50.0 p_logiter=Ident p_skew=0.0 p_rot=0.0 p_fixrot=no
p_rpwr=5.0 p_fixskew=no p_smallbail=1E-5 p_cauto=yes p_cpower=2/0
p_usecfudge=no p_fudgec=1.0 p_fudge1c=1.0 p_cfixed=no
p_cfixedval=1/0 p_cciliamode=Sawtooth p_csplit=2.0 p_fixconv=yes
p_colditer="1 older" p_citerval=0.0 p_iterweightc=50.0
p_logiterc=Ident p_cskew=0.0 p_crot=0.0 p_cfixrot=no p_crpwr=5.0
p_cfixskew=no p_convoffset=0.0 p_zbasin=Off p_zscale=0.1 p_ip=1.0
gradient:
smooth=yes rotation=1 index=0 color=6555392 index=64 color=13331232
index=168 color=16777197 index=257 color=43775 index=343 color=512
opacity:
smooth=no index=0 opacity=255
}
MiniFractal2 {
fractal:
title="MiniFractal2" width=640 height=480 layers=1
credits="David Makin;10/16/2008;Frederik Slijkerman;7/23/2002"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.083919756939134/-0.055559936540282 magn=150502.93
formula:
maxiter=100 percheck=off filename="mmf3.ufm" entry="MMF3d-Magic"
p_search=None p_searchdepth=12 p_startscale=1E20 p_searchreal=yes
p_searchimag=no p_autooff=no p_value=0/0 p_zstart=0/0 p_c=4/0
p_c1=1/0 p_c2=100/0 p_c3=1/0 p_c4=0.5/0 p_c5=1/0 p_c6=1/0
p_power=2/0 p_power1=2/0 p_power2=0.5/0 p_showmap=yes
p_usevalue="Unused (ie. nothing)" p_usepixel="Constant c"
p_usecentre=0/0 p_usescale=1.0 p_swvalue="Constant c"
p_swpixel=Zstart p_swcentre=0/0 p_swscale=1.0 p_showmod=yes
p_sigma=no p_product=no p_selfrot=no p_ang=0.0 p_t=0/0 p_m=1/0
p_n=0/1 f_fn1=ident p_fixfn=no p_flip=no p_smallbail=divergent
p_bailout=65536.0 p_bailout1=1E-5 p_smooth=Frac+Atan
inside:
transfer=none
outside:
density=10000 transfer=cuberoot filename="mmf3.ucl"
entry="MMF3f-ExtCilia" p_method="Hinrich's Div." p_bailout=65536
p_dauto=yes p_power=2/0 p_usedfudge=no p_fudge=1.0 p_fudge1=1.0
p_ciliamode="Just iteration" p_split=2.0 p_olditer=No p_iterval=0.0
p_iterweight=50.0 p_logiter=Ident p_skew=0.0 p_rot=0.0 p_fixrot=no
p_rpwr=5.0 p_fixskew=no p_smallbail=1E-5 p_cauto=yes p_cpower=2/0
p_usecfudge=no p_fudgec=1.0 p_fudge1c=1.0 p_cfixed=no
p_cfixedval=1/0 p_cciliamode=Sawtooth p_csplit=2.0 p_fixconv=yes
p_colditer="1 older" p_citerval=0.0 p_iterweightc=50.0
p_logiterc=Ident p_cskew=0.0 p_crot=0.0 p_cfixrot=no p_crpwr=5.0
p_cfixskew=no p_convoffset=0.0 p_zbasin=Off p_zscale=0.1 p_ip=1.0
gradient:
smooth=yes rotation=1 index=0 color=6555392 index=64 color=13331232
index=168 color=16777197 index=257 color=43775 index=343 color=512
opacity:
smooth=no index=0 opacity=255
}
