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About Digital Art / Hobbyist Peter SdobnovMale/Russia Groups :iconfractasm: Fractasm
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Deviant for 14 Years
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Statistics 404 Deviations 6,467 Comments 283,578 Pageviews

Newest Deviations

Dragon Thistle by Zueuk Dragon Thistle :iconzueuk:Zueuk 53 12 Kleinian Tree - green by Zueuk Kleinian Tree - green :iconzueuk:Zueuk 6 3 Kleinian Tree - blue by Zueuk Kleinian Tree - blue :iconzueuk:Zueuk 7 2 Under Construction by Zueuk Under Construction :iconzueuk:Zueuk 7 3 Sky Dragon by Zueuk Sky Dragon :iconzueuk:Zueuk 99 27 Hypersquared by Zueuk Hypersquared :iconzueuk:Zueuk 22 5 Purple and Violet by Zueuk Purple and Violet :iconzueuk:Zueuk 30 4 Dragonology by Zueuk Dragonology :iconzueuk:Zueuk 57 12 Inks by Zueuk Inks :iconzueuk:Zueuk 62 13 Fortune Teller by Zueuk Fortune Teller :iconzueuk:Zueuk 45 14 Cold Fusion by Zueuk Cold Fusion :iconzueuk:Zueuk 21 3 Golden Chambers by Zueuk Golden Chambers :iconzueuk:Zueuk 30 4 Neon Autumn by Zueuk Neon Autumn :iconzueuk:Zueuk 20 2 Ivory Chambers by Zueuk Ivory Chambers :iconzueuk:Zueuk 71 7 Iridescent by Zueuk Iridescent :iconzueuk:Zueuk 32 9 Gnarly Winds by Zueuk Gnarly Winds :iconzueuk:Zueuk 35 6


Branches by tatasz Branches :icontatasz:tatasz 161 15 Zenyatta Dishonored ( overwatch ) by AnatoFinnstark Zenyatta Dishonored ( overwatch ) :iconanatofinnstark:AnatoFinnstark 1,313 46 Leptin by Senzune Leptin :iconsenzune:Senzune 631 40 Porcelain by tatasz Porcelain :icontatasz:tatasz 103 7 Oddity by BoxTail Oddity :iconboxtail:BoxTail 277 11 Unit Square To Disc (menger Circular) Small by tatasz Unit Square To Disc (menger Circular) Small :icontatasz:tatasz 150 18 Both by tatasz Both :icontatasz:tatasz 131 7 Incandescence by JohnSu Incandescence :iconjohnsu:JohnSu 19,688 874 The Conductor by Travis-Anderson The Conductor :icontravis-anderson:Travis-Anderson 1,065 98 Moving by pillemaster Moving :iconpillemaster:pillemaster 16 5 Mysterious Magician by Web5teR Mysterious Magician :iconweb5ter:Web5teR 2,493 207 Atlantis Nebula #9 by StarkitecktDesigns Atlantis Nebula #9 :iconstarkitecktdesigns:StarkitecktDesigns 791 31 We are the robots by Waldemar-Kazak We are the robots :iconwaldemar-kazak:Waldemar-Kazak 7,961 453 Evolutionary Process by moonhigh Evolutionary Process :iconmoonhigh:moonhigh 17 9 Seahorse Nebula by fractist Seahorse Nebula :iconfractist:fractist 1,295 57 Foci by tatasz Foci :icontatasz:tatasz 109 11


Cataclysm by Zueuk Cataclysm :iconzueuk:Zueuk 1,514 210 Delicate Garden 2 by wb-skinner Delicate Garden 2 :iconwb-skinner:wb-skinner 665 251 Fractal Calendar by MichaelFaber Fractal Calendar :iconmichaelfaber:MichaelFaber 17 32 Guidance  - by rougeux Guidance - :iconrougeux:rougeux 222 136


Kleinian Weave
Strictly speaking, there is no Kleinian group here (perhaps no group at all), but it still looks fine as an IFS fractal.
A 100% 2D one, by the way ;)
Kleinian Tree - green
Kleinian group limit sets do not have to look the same all the time :) (Smile)

(edit) slightly less obnoxious green color
Long time ago (during the 2011 new year holidays, to be precise), while thinking about how would I want a new/better fractal editor to look like, I got this idea.
I wanted to be able to combine different transformations in different ways, but I didn't want to get lost while tracing lines (like here, for example) - the usual way of putting nodes everywhere and linking them together did not sound good for me.

Instead, I decided to place things on screen in the order of computation:
- transformations are applied from top to bottom
- transformations on the same level are either all applied at the same time - like with Sum here, or only one of them is applied - like in Choice back there (that's how it looked like 3 years ago :))

editor-UI-2016 by Zueuk

What you see above is a slightly non-trivial "final transformation" for a hyperbolic tiling I made a few months ago.
I certainly find it much easier to work with this, than to manage "xaos links" in Apophysis.

Besides, as I have already said some time before - everything is a transformation. Including the "Sum" - which is a transformation that contains other transformations. This means that it is possible to put anything - not only a simple transformation, but a random choice (also contains other transformations), or another sum inside it.

And finally, here's a low-ish quality render, just to demonstrate the result:
example-FX by Zueuk

Just in case somebody tries to reproduce this in Apo :slow: "Murl" here is the Apo plugin murl2, and the "Sum" part should actually be a "disassembled" version of my old plugin named polypolar. The tiling itself is obviously a 7x3 hypertile.


Peter Sdobnov
Artist | Hobbyist | Digital Art


:iconpillemaster: :iconboxtail: :icontatasz: :iconzy0rg: :iconlexxe: :iconlyc: :iconjoelfaber: :iconaexion: :iconutak3r: :iconmichaelfaber: :iconpsion005:


Add a Comment:
ActorzInc Featured By Owner Mar 14, 2019   General Artist
Hi!  How is your new editor coming?  :)
Zueuk Featured By Owner Mar 25, 2019  Hobbyist Digital Artist
slowly... :slow:
ActorzInc Featured By Owner Mar 26, 2019   General Artist
It's in good hands!
The best stuff is always worth the time.  :)
Geonetique Featured By Owner Aug 15, 2018  Hobbyist General Artist
happy birthday
Zueuk Featured By Owner Aug 15, 2018  Hobbyist Digital Artist
thank you :)
Geonetique Featured By Owner Aug 19, 2018  Hobbyist General Artist
you are welcome
Antares2 Featured By Owner Aug 15, 2018  Hobbyist Digital Artist
happy birthday !!
Zueuk Featured By Owner Aug 15, 2018  Hobbyist Digital Artist
thanks! :D
davincipoppalag Featured By Owner Aug 14, 2018  Hobbyist General Artist
Happy Birthday! :iconcakeplz: :iconwineplz:
Zueuk Featured By Owner Aug 15, 2018  Hobbyist Digital Artist
thanks! :thanks:
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