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Author Topic: Lattice evolution  (Read 927 times)
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Dinkydau
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« on: October 14, 2017, 11:10:24 PM »




Mandel Machine, Mandelbrot set
And some Kalles Fraktaler

This image shows the evolution of a lattice. The lattice itself is a variation of Golden Ratio Tiling. It can also be compared to Elephant spiral tiling with central transformation because this is also an attempt at something that looks like a transformation of an otherwise right-angled tiling, and of course Triangle tiling with layered julia morphing for being connected. It's a mix of a lot of things.

I like it when morpings like this are connected whenever possible because to me it makes them a lot more impressive. That's why I wanted to find a way to make all the shapes that I already know surrounded by and connected to a tiling in a natural way. Is it possible? I think so. This image shows that evolution can be a connected tiling. Because evolution sets behave like julia sets with finite details, they can be used to build various other shapes like trees. It means that trees and S-shapes at the very least can be made surrounded by a connected tiling. The depth required to do that properly is too extreme, as I also commented on Elephant spiral tiling with central transformation, but I want to try to come as close as possible.

I also made use of Kalles Fraktaler. Mandel Machine wouldn't render this correctly, so I used this opportunity to work on something to convert the MMI file format to KFB, so I could use Kalles Fraktaler to fix the glitches given the progress by Mandel Machine. It was harder than I thought it would be but the result is there: another render of an apparently difficult location, free of glitches.

Magnification:
2^3796.25
6.0970680097714465978246352468373 E1142

Coordinates:
Code:
Re = -1.76856539435366368125259371293453236892641782036550238084035683278139847516020579836940755448093853806358532335622720215954860387925973462676210264185332619249622446097144464301696263314670575799470331597794419853481280083049813344714412669978249805531445637915677921147242961218729448326140934509447244923346834491904750058368493978125046376837105104088610590469955376290684019988563370767077290823529345255614107999427775332199891983963556882307645602243231590462852451961554663143998042396613582745038196155573683320524468218885621413135815233178922623800880270744324820393949165276400291219551742132035215660506960425009699199467178686542633858457116215710847955765911389610660640760093031838759495011431952174690031733085134861830812337744591371152885478077354772622020072507170087102831622232514924494081112032259257747492310876060757910257868803734144196405678120512443001786915069999243567634982118143679073365001032947680409484031048637779321233465936777391817115730373775376125971055725674328445312481196980698269861097741754301242350002619529351486080897755930259555714557011668880546952923003933637167679746220379199085840523329826374660
Im = 0.00149693415390767795776818884840489556855946301445691471574014563855527433886417969977385819538260268120841953162872636930325763746322273045770475720864573841501787930094585669029854545526055550254240550601638349230447392478835897915689588386917873306732459133130195499040290663241163281171562214964938877814041525983714426684720617999806166857035264185620487882712073265176954914054913266203287997924901540871019242527521230712886590484380712839459054394699971951683593643432733875864612142164058384584027531954686991700717520592706134315477867770419967332102686480959769035927998828366145957010260008071330081671951130257876517738836139132327131150083875547829353693231330986024536074662266149266972020406424662729505261246207754916338512723205243386084554727716044392705072728590247105881028092304993724655676823686703579759639901910397135711042548453158584111749222905493046484296618244721966973379997931675069363108125568864266991641443350605262290076130999673222331940884558082142583551902556005768303536299446355536559649684565312212482597275388117026700207573378170627060834006934127513560312023382257072757055987599151386137785304306581858
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Kalles Fraktaler
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kallesfraktaler
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« Reply #1 on: October 15, 2017, 03:31:05 PM »

Excellent!
And it is cool that you was able to go from MMI to KFB!
It would be cool if one could render a zoom sequence in MM in MMI files and then convert them to KFB in order to make a movie in KFMM.
But I don't think MM supports making a sequence of MMI automatically...?
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Want to create DEEP Mandelbrot fractals 100 times faster than the commercial programs, for FREE? One hour or one minute? Three months or one day? Try Kalles Fraktaler http://www.chillheimer.de/kallesfraktaler
http://www.facebook.com/kallesfraktaler
hapf
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« Reply #2 on: October 15, 2017, 10:05:36 PM »

Hm. When rendering this with size 6.0970680097714465978246352468373e-1142 I get the juncture with a different rotation. More like 85%. And there are practically no glitches when using the central minibrot as reference. Is this image with the original rotation?
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Dinkydau
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Posts: 1616



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« Reply #3 on: October 16, 2017, 12:05:26 AM »

The rotation is -128.96096641999998 degrees. I never mention it but almost all of my images are rotated.

Excellent!
And it is cool that you was able to go from MMI to KFB!
It would be cool if one could render a zoom sequence in MM in MMI files and then convert them to KFB in order to make a movie in KFMM.
But I don't think MM supports making a sequence of MMI automatically...?
Rendering zoom sequences appears to be limited to MMIT and exporting of MMI files has been broken since after version 1.3.3 which is the version when MMI was introduced in the first place. The only way to get an MMI file saved from a different version is to save MMIT, load it in 1.3.3 and save MMI from there.

I like the idea of using mandel machine to render zoom videos and I can imagine people would want to use kalles fraktaler's movie maker for it. Unfortunately the MMIT format is complicated. The main obstacle is their zlib compression. In order to read MMIT files my program must be able to interpret zlib compressed data. I tried to incorporate something in my program to compress like zlib for the other direction (KFB to MMIT) but I couldn't get it to work. It's so complicated. I wonder why everything with advanced computer usage has to be so complicated.

Maybe I can get it done for MMIT files with the compression level set to 0 (in mandel machine). That would also make it easier for myself. My preferred method would be to change mandel machine itself and make this all easier but I don't want to work on it as long as I don't have the source code of the latest version.
« Last Edit: October 16, 2017, 12:16:46 AM by Dinkydau » Logged

Dinkydau
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Posts: 1616



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« Reply #4 on: October 16, 2017, 07:26:09 AM »

I just noticed there's something else that makes this idea more difficult. The iteration bands aren't exactly the same in Kalles Fraktaler and Mandel Machine. I assume it's caused by a different bailout value. In my image it's not noticeable because the glitches were very small.
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