File:Part of parameter plane with fragment of Mandelbrot set , center = -1.8605739600158748e+00 + -9.3437424499999996e-07.png
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Summary
| Description |
English: Part of parameter plane with fragment of Mandelbrot set , center = -1.8605739600158748e+00 + -9.3437424499999996e-07 |
| Date | |
| Source | made wit Mightymandel - GPU based program by Claude Heiland-Allen[1] |
| Author | Adam majewski |
| Other versions |
|
Licensing
I, the copyright holder of this work, hereby publish it under the following license:
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- to remix – to adapt the work
- Under the following conditions:
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- share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
Summary
fractint
One can do similar image with Fractint :
- Start FRACTINT, go to main menu.
- Press '@' : Run saved command set
- Press 'F6': To select the PAR File : filament.par
- Then select parameter set 'Fil0' : press enter.
It is a section () from main fractint.par file
Filament { ; A Mandelbrot Ian Adam
reset type=mandel
corners=-1.86057396488642/-1.86057395514533/-0.00000093796272/-0.00000093078\
577 float=y maxiter=1500 inside=0
colors=000512<3>E44G55I66K77M88<13>mCBoCBqBA<2>v97w97y77<2>z11z00z00<9>z00z0\
0x02<28>20w00y00z<10>00z<5>``zffzllzsszzzz00z<6>00z<5>``zffzllzsszzzz00z<6>0\
0z<5>``zffzllzsszzzz00K00M00O00Q11S22U44W66Y98_<2>LKePOgTRiXUk`Yldam00z<8>00\
e00c00b<14>00O00O00N00N00M<21>00B00B009<17>000000000000000<24>000301
}
or :
Filament { ; A Mandelbrot Ian Adam
reset=2004 type=mandel
center-mag=-1.86057396001587505/-0.00000093437424500/2.786699e+08
params=0/0 float=y maxiter=1500 inside=0
colors=000512<4>G55I66K77<2>Q98S99U99W99YA9<3>eBAgBAiBBkCBmCB<3>tA8v97w9\
7y77<2>z11z00z00<4>z00z00z00<2>z00z00x02<23>C0mA0o80q<2>20w00y00z<4>00z0\
0z00z<3>00z<3>PPzVVz``zffz<2>zzz00z<4>00z00z00z<3>PPzVVz``zffz<2>zzz00z<\
4>00z00z00z<3>PPzVVz``zffz<2>zzz00K00M00O00Q11S22U44W66Y98_<3>POgTRiXUk`\
Yldam00z<3>00q00n00l<2>00e00c00b<10>00S00R00Q<22>00E00D00D<2>00B00B009<1\
3>002002001<24>000000000<3>000301
}
Mightymandel
Save it as a filament par, convert to ppar file :
./extra/split2ppar.sh /examples/par/filament.par
then run :
./src/mightymandel ./examples/ppar/filament.ppar
Check comment inside file :
identify -format "%c" 1.ppm mightymandel -1.8605739600158748e+00 + -9.3437424499999996e-07 i @ 3.5884749956982262e-09
convert to png using a script in extra that preserves metadata when converting to PNG :
./extra/ppm2png.sh 1.ppm
book program
Parameter file for gui version[2] ( for example filament.txt) :
view 154 -1.86057396001587505e+0 -0.00000093437424500e+0 3.588475109798367e-9
output :
type: double RENDER real: -1.86057396001587504999999999999999999999999999998e+00 imag: -9.34374245000000000000000000000000000000000000017e-07 radius: 3.5884751097983668e-09 bits: 35 type: mpfr
or sh file for non-gui version :
#!/bin/bash
# Radius is defined as "the difference in imaginary coordinate between the center and the top of the axis-aligned view rectangle".
# https://en.wikibooks.org/wiki/Fractals/Computer_graphic_techniques/2D/plane
#
# in examples directory : chmod +x standardview2.sh
# then go to the parent directory : cd ..
# run run these example from the parent directory :
# ./examples/ian.sh
#
# result :
# ./render using double
# rgba 1.000000 1.000000 1.000000 1.000000
# Image standard.png is saved
# info text file .txt is saved
# from file : / code/bin/mandelbrot_render.c
# int width = 1280;
# int height = 720;
# standard view of parameter plane : center_re, center_im, radius
# plane description : view = center and radius
center_re="-1.86057396001587505"
center_im="-0.00000093437424500"
center="$center_re $center_im"
radius="3.5884751097983668e-09" #$(echo 1.0/$zoom | bc -l) # real radius
view="$center $radius"
# inbits are proportional to zoom
# inbits=$((54+$((4*$zoom))))
# image file names
filename="ian" # filename stem : stem="standard"
ppmfilename=$filename".ppm"
pngfilename=$filename".png"
# escape radius
er="512"
# image size in pixels
w="800"
h="600"
# maximum iterations
n="1500"
# interior rendering
i="1"
# Heredoc
# ./render $view && ./colour "$stem" > "$stem.ppm"
#./render $view "$er" "$filename" "$w" "$h" "$n" "$i" && ./colour "$filename" > "$ppmfilename" && ./annotate "$ppmfilename" $pngfilename <<EOF
#rgba 1 1 1 1
#EOF
echo "Image " $pngfilename " is saved"
# info text file
textfilename=$filename".txt"
ratio=$(echo $w/$h | bc -l)
# http://stackoverflow.com/questions/12882611/how-to-get-bc-to-handle-numbers-in-scientific-aka-exponential-notation
# bash do not use floating point
rim=`echo ${radius} | sed -e 's/[eE]+*/\\*10\\^/'` # conver e to 10
rre=$(echo $ratio*$rim | bc -l) # real radius
cu=$(echo $center_im+$rim | bc -l)
cd=$(echo $center_im-$rim | bc -l)
cl=$(echo $center_re+$rre | bc -l)
cr=$(echo $center_re-$rre | bc -l)
rim="("$rim")" # add () because precedence of operators
zoom=$(echo 1/$rim | bc -l) # zoom = 1/radius
z=$(echo "$zoom" | sed 's/e/*10^/g;s/ /*/' | bc)
echo "part of parameter complex plane " > $textfilename
echo "center of image c = " $center >> $textfilename
echo "radius = (image height/2) = " $rim >> $textfilename
echo "radius = (image height/2) = " $radius >> $textfilename
echo "up corner = center_im+radius = cu =" $cu >> $textfilename
echo "down corner = center_im-radius = cd =" $cd >> $textfilename
echo "left corner = center_re+ratio*radius = cl =" $cl >> $textfilename
echo "right corner = center_im-ratio*radius = cr =" $cr >> $textfilename
echo "image ratio = width/height =" $ratio >> $textfilename
echo "zoom level = fractint mag = "$zoom >>$textfilename
echo "ratio = image width/height = " $ratio >> $textfilename
echo "info text file " $textfilename "is saved"
output :
./examples/ian.sh
./render using MPFR<44>
rgba 1.000000 1.000000 1.000000 1.000000
Image ian.png is saved
info text file ian.txt is saved
Result tekst file :
part of parameter complex plane center of image c = -1.86057396001587505 -0.00000093437424500 radius = (image height/2) = (3.5884751097983668*10^-09) radius = (image height/2) = 3.5884751097983668e-09 up corner = center_im+radius = cu = -.00000093078576989021 down corner = center_im-radius = cd = -.00000093796272010979 left corner = center_re+ratio*radius = cl = -1.86057395523124157027 right corner = center_im-ratio*radius = cr = -1.86057396480050852973 image ratio = width/height = 1.33333333333333333333 zoom level = fractint mag = 278669900.00064976875376361505 ratio = image width/height = 1.33333333333333333333
References
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:10, 17 January 2015 | | 1,280 × 720 (543 KB) | Soul windsurfer | User created page with UploadWizard |
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