Title: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on December 29, 2012, 02:02:19 AM EDIT 2: I updated the code to reflect cKleinhuis' changes (there were always two parameters governing most of the transforms, now they are vec2's) and removed the unused circle and abs things that were probably just confusing people.
EDIT: I realise this may not be the correct subforum for this post, and I apologise ahead of time if I have filed this incorrectly, it just seemed the most appropriate place at a cursorsy glance Hello all, I realise this is my second ever post here but I am rather excited to share my first original (in the sense that it arose from 'scratch' for me) creation, the Mandelex (yes, it can look a bit like an X sometimes). I'll let the pictures do the talking, but a quick formula can't hurt (see code for details): p -> nonLinearPull(boxWrap(circleInversion(s*rotation(linearPull(p)+c)))) where boxWrap is TGlad's I think, linearPull is just a special translation, nonLinearPull is nearly a coordinate modulus and the rest is fairly easy to see. Interestingly enough, by wrapping the whole thing up in another linearPull, we achieve almost an entire nesting of the pattern at each of the corners (hence the X). It contains a whole bunch of different patterns and shapes, but like some of these IFS thingies, it's a bit hard to tweak the escape time and iteration count to get a clean render (it seems, actually, that bailout can be arbitrarily large without much adverse effects, but iterations are tricky) - I cheated and squared the fraction of iterations survived so as to add some contrast to the renders. Anyway, I would be interested in extending this guy to 3D, any words of advice? --- Here is an overview of the whole thing without the extra linearpull, and at the risk of destroying folks' bandwidth, I've merely linked to some other renders (http://hiato.uctleg.net/mandelex/mandelex_all.png) https://www.dropbox.com/s/36ku46syduezp0h/mandelex_center.png (https://www.dropbox.com/s/36ku46syduezp0h/mandelex_center.png) https://www.dropbox.com/s/dhpgkmcl2rza4lx/mandelex_upper_right.png (https://www.dropbox.com/s/dhpgkmcl2rza4lx/mandelex_upper_right.png) https://www.dropbox.com/s/z8vk61gjpw0zawp/mandelex_addlin_minilex.png (https://www.dropbox.com/s/z8vk61gjpw0zawp/mandelex_addlin_minilex.png) https://www.dropbox.com/s/q1kk27b6aazry5l/mandelex_additional_linear.png (https://www.dropbox.com/s/q1kk27b6aazry5l/mandelex_additional_linear.png) (if these don't work, you can try here (http://hiato.uctleg.net/mandelex/) instead) I would encourage all to explore this thing, and so I have here (http://hiato.uctleg.net/mandelex/mandelex.frag) a Fragmentarium file for you to play around with :P Enjoy Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Kali on December 29, 2012, 09:45:05 AM Very nice... I didn't study the code yet, but I got really interesting patterns playing with it. 3D version could be also great, I'll see if I can help...
This is from a Julia version of it: http://zoom.it/xn5t Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on December 29, 2012, 12:43:51 PM Very interesting, 3d extension should be easy ;D
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 29, 2012, 12:46:05 PM can you elaborate the formula parts with explicit code examples ?
wohoo, a new formula!!! Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on December 29, 2012, 12:48:22 PM can you elaborate the formula parts with explicit code examples ? wohoo, a new formula!!! Here it is, I copypasted from his link :dink: :dink: :dink: Code: // Tslil 'Hiato' Clingman, 2012 Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 29, 2012, 01:48:38 PM ah, just watched the pics, here is a fragmentarium file with parameters extended to vec2 and bigger range to allow negative scales, negative values work as well ;)
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on December 29, 2012, 05:02:24 PM Thanks for the positive response all, much appreciated O0
Kali: Wow, nice Julia find, what are the coordinates/params for that one? cKleinhuis: heh, the negative values of scale (around -2) make for some really interesting architecture, cool idea ^-^ EDIT: Here's what I'm talking about (wrap=0.25, scale=-2, others are unchanged): (http://hiato.uctleg.net/mandelex/mandelex_neg_scale_sw.png) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: matsoljare on December 29, 2012, 10:28:46 PM How about a height map?
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 29, 2012, 11:00:55 PM this is going to make an awesome 3d object, i am unsure how to fiddle the 3d rendering without de estimators,
syntopia had somewhere a script for brute force raymarching, but it is not included in the examples of the program :( Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on December 30, 2012, 12:00:27 AM critical question...
If it has discontinuities, it gives trouble , So is it continue or not? Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on December 30, 2012, 01:43:17 AM DarkBeam: hmm, yeah, I thought about his a little and it doesn't seem to be continuous - linearpull essentially cuts space and shifts a chunk. Bleh, ah well.
cKleinhuis : I'll give that a stab on the morrow, I recall reading his blog post on the matter. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: David Makin on December 30, 2012, 03:03:58 AM this is going to make an awesome 3d object, i am unsure how to fiddle the 3d rendering without de estimators, syntopia had somewhere a script for brute force raymarching, but it is not included in the examples of the program :( Buddhi's/my method of delta DE should work OK - if not just using the magnitudes then using the smooth iteration counts. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 30, 2012, 03:22:49 AM is it included in the default examples or what would you suggest is the easiest method to get non de rendering working !??!
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: kram1032 on December 30, 2012, 10:13:23 AM very beautiful cross-sections. :)
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on December 30, 2012, 02:05:51 PM Ladies and Gents, here is a quick preview of the first 3D render of this beast :D
EDIT: Here is the script I used to get these renders (I have intentionally turned DOWN the ray count so that you don't get bombed by running it for the first time) http://hiato.uctleg.net/mandelex/mx3d.frag (http://hiato.uctleg.net/mandelex/mx3d.frag) -- There are some serious issue with iteration counts, set it much above 15 and you get foam, perhaps a DE might solve this, I'm not sure. (http://hiato.uctleg.net/mandelex/mx3d_first_look.png) and a second (it's pretty tricky to do renders, the lines are an artefact of the image combination process, Syntopia?) (http://hiato.uctleg.net/mandelex/mx3d_snd_look.png) There are still many things to work out though: rotations in 3D are not as simple as in 2D and so I'm not sure what 'good' paramaters are; i Anyway, I'll update with a script once it's stable (this was done using Syntopia's wonderful brute force raytracer O0 ) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 30, 2012, 02:14:34 PM you need 2 angles to rotate now ;)
but you can do it simple consecutive, by calling 2 rotate functions that leave one component alone, or you create a rotation matrix out of your 2 angles, this is advisable because gpu is optimized for matrix multiplication Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on December 30, 2012, 03:01:07 PM Ok, so I see that I can retrieve the 2D shape by performing rotations in one plane only, but then the resulting shape is a rectangle. I have updated the script (http://hiato.uctleg.net/mandelex/mx3d.frag) accordingly. (I had to change the maximum "far" value in the renderer include file to get this pic, note again the lines)
(http://hiato.uctleg.net/mandelex/mx3d_rectangle_rotate_one_plane.png) (Also, can someone recommend a place to store these images, I'm a tad concerned my host is not going to be so happy with this :/) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 30, 2012, 03:13:08 PM too bad, even i installed the brute raytracers from the fragmentarium site
@syntopia if you read this, can you update the download package to include ALL examples, or provide an actualised example folder as download ?!? this is the output, seems like some base include is missing, but i am not familar with fragmentarium Code:
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on December 30, 2012, 03:29:36 PM too bad, even i installed the brute raytracers from the fragmentarium site @syntopia if you read this, can you update the download package to include ALL examples, or provide an actualised example folder as download ?!? this is the output, seems like some base include is missing, but i am not familar with fragmentarium [snip] So yeah, you need to stick the files Brute3D.frag, Brute-Raytracer.frag, and DepthBufferShader.frag in your Examples/Include directory. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on December 30, 2012, 03:36:50 PM i got it running, but now i have no colors
but i saw ... you use 3 angles as angle definition ... but 2 are perfectly sufficient ;) this is because 2 angles are sufficient to place a dot on a sphere, the third angle just gives redundancy .... Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Syntopia on December 30, 2012, 03:49:06 PM Hi, the Brute force raytracer is not part of the official build yet, because of some issues I need to fix with some of the other code.
The experimental build can be found here in this thread: http://www.fractalforums.com/3d-fractal-generation/rendering-3d-fractals-without-distance-estimators/msg54477/#msg54477 (The example files are not enough to run the brute shader - there are required changes to the binary files as well.) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Syntopia on December 30, 2012, 03:51:18 PM and a second (it's pretty tricky to do renders, the lines are an artefact of the image combination process, Syntopia?) If you get recombination artifacts using the Brute raytracer, you must set the Padding option in the High-Resolution render dialog (please use the build linked to above). Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Alef on December 30, 2012, 03:55:56 PM I wanted to post a link http://www.fractalforums.com/3d-fractal-generation/rendering-3d-fractals-without-distance-estimators/90/ but Syntopia was 2 just mins befor me.
Well, 2D looks great. 3D so far is rather menger mandelbox, but I think, so far it's like unpolished gemstone, and we just need to find a way to get what is seen in 2D pictures. Maybe it could become popular like mandelbox, and someone would 3D print it. Better share .jpg pictures, they loads faster. If you want easy ready solution with colours, compiler and brute force raytracer, and don't want spead, then you should try Chaos Pro. http://www.chaospro.de/ It have much less possibilities than Fragmentarium (It's a bitt outdated), but it should be much more easy to implement and finetune it. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Hiato on January 01, 2013, 10:30:44 PM Heya all, I trust that calendar transitions were joyous and so on. So I have been playing with the parameters in the Mandelex a little and found some interesting variants [I have dubbed them "hivemind" and "sierpenski" for semi-obvious reasons :P] - all the presets are now stored in the .frag file, and renders and .frags can be found here: http://hiato.uctleg.net/mandelex/ (http://hiato.uctleg.net/mandelex/)
Some quick snaps, Hivemind (http://i.imgur.com/DEdNu.jpg) Sierpenski (http://i.imgur.com/Ndiyp.jpg) Sheep (the justification for this name lies in the joiners between the centre object and the corner pieces :P) (http://i.imgur.com/ea54x.jpg) Now for some replies: @kram1032: Why thank you :) @cKleinhuis: Yeah, so I am currently attempting to create a cross section renderer for the 3D version to confirm this business with rotations, I'm not sure why we are getting what we have. @Syntopia: Ah, I see, makes sense (I was wondering what that did), thanks @Alef: I agree, some work needs to go into this 3D version. First I want to take a cross-section approach and get a rough idea what it is that we should see. As for .jpg, heh, yeah it seems obvious now that you mention it :P Thanks for the kind words though, much appreciated, and I'll check out Chaos Pro once things return to normal my side. Thanks all for your interest in this matter, it seems that this is a truly awesome community you guys have here! Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: subblue on January 03, 2013, 09:08:41 PM This is a very interesting new fractal, thanks for sharing it! However, I couldn't help optimise the original code ;)
I've removed all conditionals (apart from the bailout), fixed issues with the stricter ATI GLSL compiler, improved the rotation behaviour (no white square covering the center now), added a julia mode, separated the linear and non-linear params, and added average exponential smooth colouring. On my system I'm getting a 2-3x fps speed increase now :) (https://dl.dropbox.com/u/149853/pics/mandelex1.jpg) (https://dl.dropbox.com/u/149853/pics/mandelex2.jpg) (https://dl.dropbox.com/u/149853/pics/mandelex3.jpg) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: trafassel on January 03, 2013, 09:49:21 PM The 3D variant of the formula given in reply #4 (but with angle=0) is dusty, but there are some regions with stays stable with 256 iterations.
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 04, 2013, 12:03:25 AM Would it be possible to have mandelex code that is more platform neutral? :'( For example, what is a slider, what does inout mean in the context of a function, etc. I don't want to have to learn to use another platform. From my point of view, generic code would be far preferable. The original mandelbulb and mandelbox code meet the generic requirements, which makes it very easy to use with almost any platform.
Thanks in advance. ;D Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on January 04, 2013, 01:32:59 AM Inout is simply a variable parameter which means the function changes its value
slider is a user interface directive to create ui slider with min max and default values ;) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 04, 2013, 01:35:59 AM Inout is simply a variable parameter which means the function changes its value slider is a user interface directive to create ui slider with min max and default values ;) Thanks. :) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on January 04, 2013, 02:14:52 AM This is rather new and the author kindly shared his code with us just one week ago or so the formula is not yet fully explored neither available in any othe program, he has formulated a pseudo code right in the first post in a few weeks this formula should be fully documented :)
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 04, 2013, 02:29:16 AM Some of the images look really promising. :dink: I hope to see if I can get it working in UltraFractal using my 3D Fractal Raytrace module. Here is a Mandelbox example using the same module:
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: LMarkoya on January 04, 2013, 07:10:58 PM SOme of the later images are really beautiful.....nice work all
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 07, 2013, 12:55:21 AM I have been playing around with the really cool Mandelex :dink: discovered by Hiato. I have implemented it as 3D using 3D Fractal Raytrace in Ultrafractal. Here is an image that I call Slums.
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on January 07, 2013, 01:12:10 AM for examining slices of 3d formulas ultrafractal is perfectly suited, just implement z coordinate as param ;)
nice pic, and congrats to hiato for this! Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on January 07, 2013, 10:35:44 AM Hey ... In this case he used it as a raytracer. :)
The problem is that uf raytraces veeery slowly. MB3d is like 20x or 50x faster :D Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on January 07, 2013, 12:25:49 PM yes, i meant just for nicely rendering the slices, as 3d renderer it is practically impracticable :D
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on January 07, 2013, 01:28:30 PM step, mix, clamp? What kind of functions are!? :'( :'( :'(
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 07, 2013, 06:43:30 PM Lets clarify things here. I am using a full 3D raytracer written for Ultrafractal, not slices or any such thing. The algorithm is based upon an article by Hart, Sandin and Kauffman for estimating the distance from a point to a fractal surface. The raytracer includes camera positioning, multiple lights, shadows, transparency, surface normals, rotations, etc. Distance estimates from the camera to the surface can be made with a number of potential types which require the derivative of the fractal function. Two methods which don't require an explicit derivative are delta-DE and brute force. The brute force method is VERY SLOW and I rarely use it. It can slice a 3D object, but that was a later add-on. It may not be totally full featured but it gets the job done. Its main drawback is that it is slow ;D.
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 07, 2013, 06:58:53 PM step, mix, clamp? What kind of functions are!? :'( :'( :'( DarkBeam: I ignored them, :hmh: using the functions shown within the "formula" function. I am not too sure of the implementation of nonLinear pull based upon what is inside the "formula" function, :sad1: so I am still experimenting. Obviously I am using a 3D version, which is a plugin for 3D Fractal Raytrace in UF.Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: fractalrebel on January 07, 2013, 08:54:41 PM There have been questions raised in this thread about whether it is possible to do raytracing with Ultrafractal. :'( Since the 3D Mandelex requires a raytracer and I am experimenting using a Ultrafractal raytracer, I don't think it is off topic to answer in this thread. Here is an example that uses reflection, refraction with a user-defined refractive index and shadows. This was rendered completely and totally within Ultrafractal. :dink:
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: David Makin on January 07, 2013, 09:29:02 PM Hey ... In this case he used it as a raytracer. :) The problem is that uf raytraces veeery slowly. MB3d is like 20x or 50x faster :D Erm ? Really ? My Wip3D formula renders a degree 8 Mandelbulb (complete unzoomed one in a 928*626 window) in just 6.7 secs - this is with smooth iteration colouring standard gourad+Phong lighting including 2 light sources - camera without shadows or specular, plus positional with specular and hard shadows - including "star"-fix and positional ambient soft-shadowing. Or alternatively my escape-time 3D IFS formula ray-traces a Menger sponge with similar lighting and at the same resolution in 0.86secs. Or the Wip3D formula again at same res. and lighting etc. renders the original Lowe Mandelbox in 7.23secs. The image below, exactly as seen here took just 11.69secs: (http://nocache-nocookies.digitalgott.com/gallery/13/141_07_01_13_9_28_07.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=13133 (http://www.fractalforums.com/index.php?action=gallery;sa=view;id=13133) Colouring used is (2D) triangle inequality average. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on January 07, 2013, 09:35:42 PM ok, people, i meant ultrafractal is best suited for just rendering the slices as plain 2d, because it is a very sophisticated animation/editing/exploring
tool with an incredible precision, the hacks with 3d rendering are possible, i know, but i am as well aware that the program is not really nice for doing such, the biggest problem is that something that is done in the init/global part can not be succsesive be seen, most of the 3d renderers have black screen for ages and then sometime the result is there, but this makes it very hard to conveniently edit something.... i would love to see more images of the mandelX, this thread seems to become hijacked ;) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: David Makin on January 07, 2013, 09:47:57 PM ok, people, i meant ultrafractal is best suited for just rendering the slices as plain 2d, because it is a very sophisticated animation/editing/exploring tool with an incredible precision, the hacks with 3d rendering are possible, i know, but i am as well aware that the program is not really nice for doing such, the biggest problem is that something that is done in the init/global part can not be succsesive be seen, most of the 3d renderers have black screen for ages and then sometime the result is there, but this makes it very hard to conveniently edit something.... i would love to see more images of the mandelX, this thread seems to become hijacked ;) Apologies, but to say that UF is 20* slower (or worse) than MB3D or MBer is just plain wrong ;) Also MMFWip3D and my 3D IFS do not use the global section so you *do* get nice progressive renders. Am going to implement the Mandelex in my Wip3D formula shortly - plus release an update that makes it easy for anyone to add any test 3D/4D formula very quickly - in fact for testing it should be the quickest way of testing a new formula for anyone. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on January 07, 2013, 10:06:21 PM bring it on ;)
are your formulas available via library update !? why dont you use the library ?! Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: David Makin on January 08, 2013, 04:31:47 AM bring it on ;) are your formulas available via library update !? why dont you use the library ?! Because I usually only add "finished" formulas to the UF formula database - i.e. those I don't plan on making any major changes to and the Wip3D formula is far, far from "finished" ;) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Alef on January 08, 2013, 08:31:03 AM Could you use this tweaked version? It looks to have nice patterns unlike that of mandelbox/ menger sponge.
(https://dl.dropbox.com/u/149853/pics/mandelex1.jpg) p.s. If we would manage to convince Slijkerman, that UF could had special 3D formulas of type: formula, raytracer, colour method, everything would be slightly more easy. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on March 05, 2013, 06:52:23 PM I have been playing around with the really cool Mandelex :dink: discovered by Hiato. I have implemented it as 3D using 3D Fractal Raytrace in Ultrafractal. Here is an image that I call Slums. Please can you write here a scheme of the formula you used :) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on March 06, 2013, 01:40:00 PM @darkbeam, this post contains a cleaned up frag file, the function call is reall just calling the functions in this order:
http://www.fractalforums.com/index.php?topic=14516.msg56180#msg56180 linearPull(CircleInverse(Scale(Rotate(Add(nonLinearPull( z ),pixel))))) :) values for rotate and scale imitate complex multiplication, in 2d they are both single float values, in 3d you have an additional axis for rotation, so 2 floats as angle Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Alef on March 06, 2013, 06:17:57 PM C / C++ style code of last and optimised version would be pretty useful.
It uses specific language, and if you read .frag file with notepad, you see everything in the same line and squares, where next line are. Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on March 06, 2013, 06:46:49 PM here is my c# implementation of the transforms:
linear_a linear_b and fold are float values, as described in first post Code:
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: laser blaster on March 30, 2013, 05:32:52 AM Holy crap, that is amazing! ;D Wow, it has an entirely different feel from any fractal I've yet seen. Great work. I'll need to start exploring this thing.
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: kram1032 on March 30, 2013, 04:31:07 PM I wouldn't call it entirely different but it IS very nice to look at.
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 02, 2015, 06:37:10 PM DE is totally horrible as expected! :sad1: By the way why not ;D
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: KRAFTWERK on February 02, 2015, 07:30:07 PM DE is totally horrible as expected! :sad1: By the way why not ;D Erhm... formula available? :angel1: Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 02, 2015, 07:48:16 PM Erhm... formula available? :angel1: Uhm, eh... ... YESSSS :beer: Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: KRAFTWERK on February 02, 2015, 07:51:25 PM :horsie: :horsie: :horsie: :horsie:
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 03, 2015, 03:44:48 PM I made as usual coding mistakes btw I adopted a modified linear pull, much more versatile, :D
void linearPull(inout vec3 p, float lp, float effect, int fiddler) { int doLP = 0; if (abs(p.x)>lp) doLP++; if (abs(p.y)>lp) doLP++; if (abs(p.z)>lp) doLP++; if (fiddler == doLP) { lp*=effect; if (p.x<0) p.x+=lp; else p.x-=lp; if (p.y<0) p.y+=lp; else p.y-=lp; if (p.z<0) p.z+=lp; else p.y-=lp; } }; Images soon :D Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 03, 2015, 03:50:22 PM Here's the big badass one! It's simply HUGE and oh my, details!!!! :D
(http://i.imgur.com/Lpl5gAL.jpg) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on February 03, 2015, 04:25:38 PM nice having this beast in mb3d available!
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 03, 2015, 04:34:43 PM A wagon full of patience is a must. Dust is just everywhere and some variants are even worse. :'(
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 03, 2015, 04:55:14 PM Another variation, with mega-slow render settings :snore: :snore: :snore:
(http://i.imgur.com/hDRfvBj.jpg) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: KRAFTWERK on February 03, 2015, 06:33:08 PM OK, need to download the latest formula pack! :banginghead:
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 03, 2015, 07:15:03 PM Ah, important formula note;
-> Effect = 0 means that Mandalex effect will disappear. But effect can be <0, and an effect will be spawn (different) -> A pull value less than 0, or 0, will EXCLUDE its execution! So postlinear = -1 means that you will NOT get a postlinear effect. So both pulls = 0 imply NO mandalex effect. Use it responsibly :beer: Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: KRAFTWERK on February 03, 2015, 07:52:04 PM As you said Luca lots of noisy and unconnected settings, but VERY interesting and addictive to play with! :beer: O0
Responsibly? ;) Never! :evil1: BTW, did I tell you I'm happy that you are back? :beer: :beer: :beer: Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on February 03, 2015, 10:39:29 PM nice, so let me use this occasion to point out my youtube issues covering the mandelX
and as anecdote: this issues formed the idea of the followed amazingbox and mandelbrot iteration visualistion :whistle: :dance: :crazy: for once in the news: https://www.youtube.com/watch?v=mWmM1x7_-Pw and the detailed review in the tutorial issue, please like, share AND comment https://www.youtube.com/watch?v=cdBJuOSkkKk :D :D :D :D :D :D :D :D Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 03, 2015, 11:30:16 PM Lool guys :D
I laughed at the video Christian! ;) You are amazing almost as a box :D And Johan please inform us on your results ok :D Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: bib on February 04, 2015, 12:03:03 AM OK, need to download the latest formula pack! :banginghead: +1BTW, did I tell you I'm happy that you are back? :beer: :beer: :beer: +1;) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: cKleinhuis on February 04, 2015, 12:27:02 AM i think you meant? :embarrass:
I laughed at the video Christian! ;) You are amazing almost as Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on February 04, 2015, 12:38:42 AM i think you meant? :embarrass: ;DYes of course! Hello also 2 Jeremie! Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: KRAFTWERK on February 04, 2015, 08:28:36 AM And Johan please inform us on your results ok :D I will, you know, I am never first out, I want to find something exceptional first. O0 Might post some of my tests here though... And of course, thank you Hiato for inventing it!!! Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Imagyx on May 23, 2016, 09:13:03 PM It's been a year since the last post in this thread, but as I just recently revisited fractal forums after
four years of absence, I've had a go at the mandelX as well. Thanks for the formula. This is what I got so far in my raytracer... As I found no 3D-images in this thread anymore I'm not sure if this is the right thing :hmh: It was easy to extend the formula to 3D, therefore I hope I didn't make any stupid mistakes ;D Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: hgjf2 on May 24, 2016, 08:36:19 AM Thanks for the positive response all, much appreciated O0 where is the image?Kali: Wow, nice Julia find, what are the coordinates/params for that one? cKleinhuis: heh, the negative values of scale (around -2) make for some really interesting architecture, cool idea ^-^ EDIT: Here's what I'm talking about (wrap=0.25, scale=-2, others are unchanged): (http://hiato.uctleg.net/mandelex/mandelex_neg_scale_sw.png) Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: hgjf2 on May 24, 2016, 08:38:52 AM where is the image? <quoted image removed>!I'm understood why image missing, that show as corrupt JPG file. It maybe was been removed by user. :sphappy: :devil: Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Sockratease on May 24, 2016, 11:16:15 AM where is the image? <quoted image removed>! I'm understood why image missing, that show as corrupt JPG file. It maybe was been removed by user. :sphappy: :devil: Actually, it was an externally hosted image and the post is nearly 4 years old. The site it was hosted on, hiato.uctleg.net, appears to be down. That took any images hosted there with it :sad1: Nothing corrupt there, just another lost website taking all it's content with it. Maybe try archive.org's "wayback machine" if you really want to see it :educated: Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: DarkBeam on May 24, 2016, 12:39:40 PM oh bad news. :( Luckily I pasted the code in one of the first posts in page 1 :)
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Max Sinister on May 24, 2016, 11:26:02 PM That picture on top of this page looks like a strange Sci-Fi building.
Title: Re: An interesting fractal, the Mandelex (inspired by the box) Post by: Imagyx on May 25, 2016, 09:09:04 PM I made a mistake and switched Nonlinear and Linear Pull in the code... :embarrass: And after playing a bit with the formula and rearranging some of the procedures I got the following: This is a cross. |