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new release : kalle's fraktaler 2.14.6.1

mathr.co.uk/kf/kf.html#kf-2.14

- bugfix: load palette after map in command line rendering so that the colours from the palette are actually used (reported by blob)

claude boosted

Emacs wizards advice wanted! 

The 10 images in this thread took an hour to render without manual intervention:

```
real 59m36.715s
user 577m16.915s
sys 134m50.937s
```

I think only about 4 of them are any good.

My need more work....

```
Formula
z:=(y+i|x|)^p+c
z:=(x+iy)^p+c
z:=(y+i(-x))^p+c
z:=(|y|+i(-x))^p+c

p=2
q=2
d=1.0
e=0.0
a=0.115385984615401059999
b=0.570927230791718799994
r=6.103515625e-5
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=(y+i|x|)^p+c
z:=((-|y|)+ix)^p+c

p=3
q=2
d=1.0
e=0.0
a=-0.951463728118373499999999987
b=-0.528032363504725900000000004
r=2.3283064365386963e-10
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=(x+i|y|)^p+c

p=3
q=2
d=1.0
e=0.0
a=0.221810726706229480000000003
b=1.07709091783090300000000002
r=1.1641532182693481e-10
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=(|x|+i(-y))^p+c
z:=(y+i(-x))^p+c
z:=((-|x|)+iy)^p+c
z:=(x+i(-|y|))^p+c

p=3
q=2
d=1.0
e=0.0
a=0.64752288063777459999995
b=0.48262893915836135999996
r=9.5367431640625e-7
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=(x+iy)^p+c
z:=(y+i(-|x|))^p+c
z:=((-y)+i(-x))^p+c

p=5
q=2
d=1.0
e=0.0
a=0.5461096108486259000015
b=-0.4409497686985499600001
r=1.52587890625e-5
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

this one and the previous one are too stretched for my taste. the bot has a metric (directionality histogram flatness) that aims to prevent it, but it doesn't seem to work so well. perhaps I need to use (circular) earth-mover's distance instead of Euclidean distance between the histogram vectors.

this one could probably have done with higher iteration count

need to implement mrob's algorithm of "keep doubling iteration count until rate of new escapes is low"

This is the command I use to extract the metadata from the image to post, as Mastodon strips it from the image files.

```
exiftool -j image.png |
grep '"Comment": ' |
sed 's/^.*"Comment": \(.*\),$/\1/' |
xargs echo -e
```

```
Formula
z:=((-y)+i(-x))^p+c
z:=((-x)+iy)^p+c
z:=(x+i(-y))^p+c

p=3
q=2
d=1.0
e=0.0
a=0.19261979731673805999999
b=-0.66241965269418789999997
r=4.76837158203125e-7
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=((-x)+i(-|y|))^p+c

p=5
q=2
d=1.0
e=0.0
a=-0.381700552841197199999994
b=-0.50929658053243720000001
r=1.1920928955078125e-7
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=((-|y|)+i(-x))^p+c
z:=(x+i(-|y|))^p+c
z:=(|x|+i|y|)^p+c
z:=((-|x|)+i|y|)^p+c

p=3
q=2
d=1.0
e=0.0
a=-0.70012254494507160000037
b=0.23357387732466695
r=3.814697265625e-6
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=(x+iy)^p+c
z:=((-|y|)+i|x|)^p+c
z:=((-|x|)+i(-y))^p+c
z:=((-x)+iy)^p+c

p=3
q=2
d=1.0
e=0.0
a=-0.69710380482082619999999998
b=0.29058280603387619999999999
r=4.6566128730773926e-10
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

```
Formula
z:=(y+i|x|)^p+c
z:=(|y|+i|x|)^p+c
z:=((-|x|)+i|y|)^p+c

p=3
q=2
d=1.0
e=0.0
a=0.18318616957027166999995
b=-0.71952927782307309999983
r=3.814697265625e-6
t=(1.0,0.0,0.0,1.0)
n=4096

de=0.25
```

stroboscopic gif 

new release : kalle's fraktaler: 2.14.6

mathr.co.uk/kf/kf.html#kf-2.14

- new feature: high quality image downscaling with anti-aliasing using the Pixman library
- new feature: ball method for period detection in Newton-Raphson zoom
- new feature: command line KFB map colouring
- bugfix: image is refreshed from first calculated pixels, instead of 1% (reported by Fluoroantimonic_Acid)
- bugfix: don't read Iteration Divisor from KFB map files (for historical reasons this is an integer in the file format, instead of the floating point value that it can take now in the rest of the program)
- upgrade to boost 1.70.0
- upgrade to mpfr 4.0.2p1
- upgrade to png 1.6.37
- upgrade to glm 0.9.9.5
- upgrade to mingw64 g++ 8.3-win32 20190406 and rebuild everything

archive.org/details/arxiv-1205 reference

Manifold Learning Approach for Chaos in the Dripping Faucet
by Hiromichi Suetani; Karin Soejima; Rei Matsuoka; Ulrich Parlitz; Hiroki Hata

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