Postcards from the M-set

[jwm-art]

Kalles Fraktaler works in WINE (either x86 or x86_64 afaik, I use the 32bit one on my amd64 Debian).

I should really clean up my own program so it's usable by other people, if you're adventurous you could take a look: https://code.mathr.co.uk/mandelbrot-perturbator

Just been playing around again with Kalles Fraktaler. When I initially tried it, I disliked the splodgy rendering enough to not use it. However, just playing with it right now, that splodgy rendering is just what is needed to make zooming into areas I've been trying to reach with MDZ a breeze.

Only problem I have with Fraktaler, in WINE x86_64, Arch Linux, NVidia, etc, yawn, after resizing the window, it gets all nasty flickering redraws and jitters  only thing I've find is to try to remember to avoid resizing the window. EDIT: No, actually the flickering can be fixed by resizing the window via the menu option to resize the window.

I've currently got MDZ in a Screen session, running on 4 cores, rendering an image 2000x3000 with 3x AA, last time I checked, it's got another 50 hours at location:

Code:

cx -8.0031818920892134216145709291375820067942855297384908008175618699884325156364237101484276819316307e-1
cy 1.7059212202748603282662375505622032878166989102403322125831976226403881423779732475341264388458332e-1
size 1.7296538103558983331146862092995779917150445188806452954233997570539986307385244671577415941086444e-56

It really is dog slow. Ridiculously dog slow.

Re Mandelbrot Pertubator, it took a bit of effort and a little guess work to get going, and sorry to say I didn't really get on with it, still a bit too much waiting involved and uncertainty with zooming.

[PieMan597]

The image rendered in 3.518 seconds in Mandel Machine:

[Kalles Fraktaler]

The image rendered in 3.518 seconds in Mandel Machine:
<image>

In what resolution did you render it in MM?

3000x2000 pixels with 3x3 AA would require a background image of 9000x6000 pixels.
I tried that in Kalles Fraktaler and it took 13 minutes to render, requiring 20 references.

[PieMan597]

I rendered  the image at 3000*2000 with no AA.

[youhn]

At the moment I'm using a somewhat older PC. Kalles Fraktaler gives so much speed that it is still fun to explore fractals. This one is not very deep, which keeps the shape a bit "cleaner"

Code:

Re: -1.74853249034754902274889350213035891073818192659047665561019458161533691359474218838652486778045639282642347218565
Im: -0.0000047293936551186614835262643066911614071621620372876938075086677463268759167176329266739199096567074658321198
Zoom: 3.50000000000E90
Iterations: 14028
IterDiv: 0.200000
SmoothMethod: 0
ColorMethod: 0
ColorOffset: 90
Rotate: -0.841448
Ratio: 360.000000
Colors: 0,0,0,255,255,255,
Smooth: 1
MultiColor: 0
BlendMC: 0
MultiColors: 
Power: 2
FractalType: 0
Slopes: 0
SlopePower: 50
SlopeRatio: 50
SlopeAngle: 45
imag: 1
real: 1
SeedR: 0
SeedI: 0
FactorAR: 1
FactorAI: 0

Similar, but another path and a little deeper zoomed into the mandelbrot set:

Code:

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Zoom: 3.09999999999E202
Iterations: 34800
IterDiv: 4.000000
SmoothMethod: 0
ColorMethod: 0
ColorOffset: 14
Rotate: -2.029172
Ratio: 361.002786
Colors: 0,0,0,41,35,190,132,225,108,214,174,82,144,73,241,241,187,233,235,179,166,219,60,135,12,62,153,36,94,13,28,6,183,71,222,179,18,77,200,67,187,139,166,31,3,90,125,9,56,37,31,93,212,203,252,150,245,69,59,19,13,137,10,28,219,174,50,32,154,80,238,64,120,54,253,18,73,50,246,158,125,73,220,173,79,20,242,68,64,102,208,107,196,48,183,50,59,161,34,246,34,145,157,225,139,31,218,176,202,153,2,185,114,157,73,44,128,126,197,153,213,233,128,178,234,201,204,83,191,103,214,191,20,214,126,45,220,142,102,131,239,87,73,97,255,105,143,97,205,209,30,157,156,22,114,114,230,29,240,132,79,74,119,2,215,232,57,44,83,203,201,18,30,51,116,158,12,244,213,212,159,212,164,89,126,53,207,50,34,244,204,207,211,144,45,72,211,143,117,230,217,29,42,229,192,247,43,120,129,135,68,14,95,80,0,212,97,141,190,123,5,21,7,59,51,130,31,24,112,146,218,100,84,206,177,133,62,105,21,248,70,106,4,150,115,14,217,22,47,103,104,212,247,74,74,208,87,104,118,250,22,187,17,173,174,36,136,121,254,82,219,37,67,229,60,244,69,211,216,40,206,11,245,197,96,89,61,151,39,138,89,118,45,208,194,201,205,104,212,73,106,121,37,8,97,64,20,177,59,106,165,17,40,193,140,214,169,11,135,151,140,47,241,21,29,154,149,193,155,225,192,126,233,168,154,167,134,194,181,84,191,154,231,217,35,209,85,144,56,40,209,217,108,161,102,94,78,225,48,156,254,217,113,159,226,165,226,12,155,180,71,101,56,42,70,137,169,130,121,122,118,120,194,99,
Smooth: 1
MultiColor: 1
BlendMC: 0
MultiColors: 64	0	2,512	0	1,1024	0	0,128	0	0,1024	0	0,
Power: 2
FractalType: 0
Slopes: 0
SlopePower: 50
SlopeRatio: 50
SlopeAngle: 45
imag: 1
real: 1
SeedR: 0
SeedI: 0
FactorAR: 1
FactorAI: 0

[claude]

It really is dog slow. Ridiculously dog slow.

Yes perturbation helps immensely, and series approximation works wonders.

Re Mandelbrot Pertubator, it took a bit of effort and a little guess work to get going, and sorry to say I didn't really get on with it, still a bit too much waiting involved and uncertainty with zooming.

Fair, is more of an algorithmic test-bed than a user-oriented program so far.  And it's still not as fast as I'd like it to be - it's optimized (series approximation coefficient cache) for interactive clicking at deep zooms, but there are sometimes long pauses when it finds a new primary reference (when going off center) ..  The attached took around 4mins to render at 3000x2000 with 1500 or so references (most a single pixel big).

[jwm-art]

[Dinkydau]

Nice

[jwm-art]

I made some boxes the other day:

and have been playing around with the process to do so, and trying to incorporate it into other things, and became curious as to what happens to these forms when zooming in to close vicinity of a minibrot interior. The image below has a quite different starting point to the above

Having zoomed past the squares, it's on to octogons like a spiders-web, and so on and so forth, until eventually the tunnel of boxes in the first picture are wave-like shapes.

Actually if I were to zoom back out from the second picture, each square in the tunnel of squares would be rotated (roughly 15degress at a guess) to the next. Conversely if we were to zoom into the minibrot deep within the first picture, the waves would be more like corrugations.

[Dinkydau]

I really like that box in a box thing.

[jwm-art]

I really like that box in a box thing.

Thanks. Location:
Re: -0.6569006535481482114878619188267381569561069100292458112146695942820034962456339622457906738392903938440749440958922552228118088467417302185454155723770536448352527018347262835725871952513509232565006065214552359472655
Im: 0.378897859183148185705124347546543018710199667920027580936434640683837855184293064310539183879023495224215868372879885 399880636675240356924592837725674633011321318488366056195653922855084471099522548934283497788525396
Zoom: 3.64995249409E193

Deeper than necessary but it wasn't something I immediately decided to render.

[jwm-art]

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Zoom: 2.41031242692E462
Iterations: 277272
https://plus.google.com/+jwmartnet/posts/Uv6fTTyvAXz

[Iariak]

These are all incredible ! Also different from what you usually see.

[hapf]

Recursively descending into such babushka shapes creates very complex and dense structures on the way to a minibrot.

[jwm-art]

Recursively descending into such babushka shapes creates very complex and dense structures on the way to a minibrot.

I like that term for them, very accurate.

In the M-Set thought, I'm finding them tricky creatures to pin down... Evolving something which is simultaneously tree-like and bubushka-like quickly becomes disorientating and I've not figured how to tackle it. It's almost ritualistic.