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FractalFoundation
Alien
Posts: 25
Infinite Math, Infinite Beauty, Infinite Love
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« Reply #1 on: November 27, 2010, 08:50:22 AM » |
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Great work, Torolf! I'm totally addicted to Mandelbulber too! Are these all just 'simple' IFS fractals? I'm obsessed with finding fractals that echo natural patterns, and some of yours do that really well. I love the last one particularly. Great colors, and awesome structures all around.Thanks for sharing!
-Jonathan
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jotero
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« Reply #2 on: November 27, 2010, 11:18:51 AM » |
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Great work, Torolf! I'm totally addicted to Mandelbulber too! Are these all just 'simple' IFS fractals? I'm obsessed with finding fractals that echo natural patterns, and some of yours do that really well. I love the last one particularly. Great colors, and awesome structures all around.Thanks for sharing!
-Jonathan
Thanks Jonathan, the images were all made with settings/mandelbox rotated. ciao torolf |
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cbuchner1
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« Reply #3 on: November 27, 2010, 11:34:23 AM » |
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very nice shapes, but the coloring makes me think it's moldy bread.
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cKleinhuis
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« Reply #4 on: November 27, 2010, 11:55:50 AM » |
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great and sharp images, nice work!
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divide and conquer - iterate and rule - chaos is No random!
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jotero
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« Reply #5 on: November 27, 2010, 01:14:31 PM » |
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hello all  many thanks   ciao torolf |
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jotero
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« Reply #6 on: November 29, 2010, 07:13:36 PM » |
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cKleinhuis
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« Reply #7 on: November 29, 2010, 11:37:57 PM » |
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great ones, especially the last, love the range, and details!!!
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divide and conquer - iterate and rule - chaos is No random!
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KRAFTWERK
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« Reply #8 on: November 30, 2010, 09:52:44 AM » |
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hello all many thanks <Quoted Image Removed> ciao torolf I like this a lot jotero I am glad to see all nice images done with rotated boxes...  |
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miner49er
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« Reply #9 on: November 30, 2010, 10:12:22 AM » |
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WOW! THose are really amazing pics! The range of inticate details is truly awesome. Does anyone know when will MAndelbulb 3D is likely to have this rotation of Mandeboxes implemented? Also, can anyone exlplain what the rotation is exactly?
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bib
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« Reply #10 on: November 30, 2010, 10:38:50 AM » |
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Rotations do exist in Mandelbulb3D. Just select an amazing box as the first formula, and _Rotate as the second one. As far as I understood, a rotation is simply.....a rotation ! for the current iteration, the point is rotated around each axis by the assigned angle in degrees. By the way, I think that rotations are not commutative in 3D. So I don't know exactly in what order they are processed. In Mandelbulber, buddhi talked about rotating angles of the folding planes, which is not the same thing as the _Rotate function in M3D I think, but it gives very similat results in essence (spirals...) I might be totally misinterpreting |
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Between order and disorder reigns a delicious moment. (Paul Valéry)
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Madman
Fractal Molossus
Posts: 678
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« Reply #11 on: November 30, 2010, 09:23:26 PM » |
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Rotations are commutative in M3D. There's no difference between, say Formula 2 as 5,5,5 and Formula 3 as 0,0,0 and Formula 2 as 5,5,0 and Formula 3 as 0,0,5. (I think this sentence is not commutative, so maybe I should have placed brackets somewhere  ). The same goes for the number of iterations. 10,10,10 once iterated is the same as 5,5,5 twice iterated. BTW I've rotated quite a lot of Amazing Boxes but only rarely found spirals (One of the only ones was in Vorticity and that one was approximately a quarter of the size of the box, so even for me hard to miss :-S). On the other hand, I'm not looking as deep as bib sometimes does... http://www.fractalforums.com/movies-showcase-(rate-my-movie)/the-return-of-the-rotated-negative-box/ |
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All I want is a warm bed, a kind word and unlimited power (Ashleigh Brilliant)
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bib
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« Reply #12 on: November 30, 2010, 09:50:03 PM » |
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I was not talking about this kind of commutativity, I was talking about rotation around X, then Y, then Z, is not the same as in another order. For example if you take (1,0,0) and rotate it 90° around X, then Y, then Z, you get (1,0,0), then (0,0,1), and finally (0,0,1). And if you rotate it around, say, X, then Z, then Y, you get (1,0,0), then (0,1,0), then (0,1,0). Mathematicians please correct me if I'm wrong. Regarding your example, I'm almost sure that you are wrong. Setting [F1 as (5,5,5) and F2 as (0,0,0)] or [F1 as (5,5,0) and F2 as (0,0,5)] is not the same because of the bailout test that occurs in the middle, and decides if the point is in or out. The difference might be hardly noticeable in most cases, but I'm pretty sure that one could find an example where the impact would be clearly visible. Then the big question: how to find spirals in rotated boxes? Just explore! I would say that they are often found in the middle of the cube's edges, but not necessarily. Another tip I would suggest if to set small rotations (no more than 10-12°), and vary their signs, but again, this is purely empirical. It's funny because one of my most beautiful spirals was the first one I stumbled upon, just after KRAFTWERK gave me the recipe of the rotated box: http://www.fractalforums.com/index.php?action=gallery;sa=view;id=3810 |
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Between order and disorder reigns a delicious moment. (Paul Valéry)
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cKleinhuis
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« Reply #13 on: November 30, 2010, 09:57:30 PM » |
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some of the image have amazing ptoential for big sized prints, but i think many of them lack a really good perspective, e.g. centering of interesting objects, good outlook, there are soo amazingly interesting structures, and for example this image looks like a massive gateway http://www.jotero.com/bilder/mandelbulber/mandelbulber_25_11_2010_06_sauermann.jpgbut, with a little changed camera perspective, the impact would be a little larger, in my eyes... |
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divide and conquer - iterate and rule - chaos is No random!
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Madman
Fractal Molossus
Posts: 678
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« Reply #14 on: November 30, 2010, 10:16:38 PM » |
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Oops... I stand corrected. Bib, You are, of course, right. I think I'll have to dive into my old books and see if there's a copy left of linear algebra 101...
And, before I forget, (and completely hi-jack the topic...), your renders are great Torolf! I especially like the somewhat subdued colouring.
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All I want is a warm bed, a kind word and unlimited power (Ashleigh Brilliant)
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May 13, 2010, 06:16:30 PM
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