File:One arm spiral - part of Mandelbrot set.png
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Summary
| Description |
English: One arm spiral - part of Mandelbrot set |
| Date | |
| Source | Made with c program[1] by Claude Heiland-Allen[2] |
| Author | Adam majewski |
Licensing
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Bash src code
"... be aware that the code is in alpha state and might change making the examples incompatible " Claude Heiland-Allen
#!/bin/bash
# test rays crossing image borders in both directions
# chmod +x *.sh
# angle or external parameter ray
angle=63/33554432
# info from program Mandel by Wolf Jung http://mndynamics.com/indexp.html
# The angle 63/33554432 or 0000000000000000000111111
# has preperiod = 25 and period = 1.
# Entropy: e^h = 2^B = λ = 1.14436377
# The corresponding parameter ray is landing at a Misiurewicz point of preperiod 25 and period dividing 1.
# one can use this script for making sequence images ( n.png) and text files ( n.txt) from 0 (zoom= 0 means no zomm ) to zoom=40 ( tested)
# zoom exponent : if zoom = 0 then no zoom, if 1 then radius is 10 times smaller
zoom=40
# zoom=30 ./render using MPFR<114> time = real 10m2.216s
# zoom=40 ./render using MPFR<149> time = real 57m21.769s
# depth of drawing external ray
depth=1500
# inbits are proportional to zoom
inbits=$((54+$((4*$zoom))))
# view = plane description = center and radius
# center can be aproximated by last point of the ray
# ./ray_in 63/33554432 1500 > ray.txt
center="2.75440192442997482763156942365466633744567027411676641366606788332e-1 6.43937272885086260909220730125585919267993168198975635957506121777e-3"
# radius = (image height/2)
radius="1.5e-"$zoom
view=$center" "$radius
length=$((${#center}/2))
# echo " length of string =" $length
# image size in pixels
iWidth=2560
iHeight=1440
maximum_iterations=4096
escape_radius=512
# 1 2 3 4 5 6 7 8 9
# ./render cre cim radius escape_radius stem width height maximum_iterations interior
arguments=$view" "$escape_radius" out "$iWidth" "$iHeight
echo "making png image "
pngfilename=$zoom".png"
# render image
# heredoc syntax
./render $arguments && ./colour > out.ppm && ./annotate out.ppm $pngfilename <<EOF
rgba 1 1 1 1
line ./ray_in $angle $depth | ./rescale $inbits 53 $view 0
EOF
echo "Image " $pngfilename "is saved"
References
File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 15:42, 1 August 2023 | | 2,560 × 1,440 (1 MB) | Obscure2020 | Optimized with OxiPNG and ZopfliPNG. |
| 11:54, 11 October 2014 |  | 2,560 × 1,440 (1.26 MB) | Soul windsurfer | User created page with UploadWizard |
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