ericr
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« on: March 11, 2013, 01:11:32 PM » |
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does orbit trap is possible in M3D like FractalScience Kit for example ? Thx ERIC chaospros is "old" but look sphere tesselation+kleinian group
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« Last Edit: March 11, 2013, 01:54:07 PM by ericr »
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Alef
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« Reply #1 on: March 15, 2013, 04:16:29 PM » |
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Cool thing, I never tought, it can be done there. Could you explain, how did you do it in Chaos Pro. Maybe you should explain in Chaos pro section.
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fractal catalisator
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makc
Strange Attractor
Posts: 272
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« Reply #2 on: March 15, 2013, 07:41:23 PM » |
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not really relevant to m3d but check this out.
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ericr
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« Reply #3 on: March 15, 2013, 11:15:42 PM » |
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orbit trap is the base for KLeinian group see arXiv.org in Chaoos pro a new paro do this seen's 2 or 2 days in 3d it s impossible for the moment but on day ! do you see the like with M3d for more expication see http://arxiv.org/pdf/1206.0087.pdf or http://arxiv.org/pdf/0707.2427v3.pdfthe 2nd is the most important ericr
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« Last Edit: March 15, 2013, 11:32:08 PM by ericr »
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makc
Strange Attractor
Posts: 272
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« Reply #4 on: March 16, 2013, 04:00:03 AM » |
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the 2nd is the most important they suck at writing abstracts. not reading it
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ericr
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« Reply #5 on: March 16, 2013, 11:14:26 AM » |
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I am french and not vrey god at englih but I do it because ist important inside is the solution of kleinian group 3d To be easy orbit trap = set limit =attractor like lorenz's on
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« Last Edit: March 16, 2013, 11:18:38 AM by ericr »
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Jesse
Download Section
Fractal Schemer
Posts: 1013
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« Reply #6 on: March 16, 2013, 06:52:39 PM » |
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Maybe not all suggestions belong to m3d, but if so you have to consider that the program has to calculate distance estimates to get use of the formula, that makes many formulas not work unfortunately For example the neat orbit trap pictures were rendered with a voxel-based renderer, and i think that there don't exist distance estimates for this kind of formulas, if so please correct me.
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Jesse
Download Section
Fractal Schemer
Posts: 1013
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« Reply #8 on: March 17, 2013, 01:27:14 AM » |
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Hi David, ... also the only variation from standard DE is essentially to replace the DE calculation with the orbit trap calculation.
it is often more easy than i thought of, lol. Thanks again, looks like a good additional option to play with...
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ericr
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« Reply #9 on: March 17, 2013, 10:08:35 AM » |
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It is possible to do that ?, it would be great ! ericr
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David Makin
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« Reply #10 on: March 17, 2013, 10:47:24 AM » |
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Hi David, it is often more easy than i thought of, lol. Thanks again, looks like a good additional option to play with... The tricky part is that AFAIK there is no algebraic method to get a true distance estimate for general orbit traps - and every single type (formula+trap) is quite likely to require different fudging to get an approximately linear distance estimate.
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Jesse
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Fractal Schemer
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« Reply #11 on: March 17, 2013, 08:05:01 PM » |
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The tricky part is that AFAIK there is no algebraic method to get a true distance estimate for general orbit traps - and every single type (formula+trap) is quite likely to require different fudging to get an approximately linear distance estimate.
Ok, so its not really that easy and my first tests were also not that promising as i thought of... was not able to get a really working DE from scratch for a standard bulb and the resulting structures were also somewhat disappointing. Must read a little more on the math to get the points...
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David Makin
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« Reply #12 on: March 18, 2013, 12:10:10 PM » |
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Ok, so its not really that easy and my first tests were also not that promising as i thought of... was not able to get a really working DE from scratch for a standard bulb and the resulting structures were also somewhat disappointing. Must read a little more on the math to get the points...
If it helps I didn't check up on any math basically as I didn't think there'd be anything relevant (at least not below phd level) so I rendered using the brute force method - extremely small steps but only a small image (640*480) and had the program store information relating to the change in orbit trap distance values - from that info I worked out the fudge, it worked quite well for the image and animation I posted but the error in estimation is around a magnitude larger than for standard DE so obviously step sizes have to be reduced accordingly - e.g. with analytical DE one can get away with say 0.75*DE on each step, with Buddhi's method around 0.5*DE but to render orbits accurately needs around 0.1*estimate or smaller. As for structures being disappointing - don't use a simple point trap that will be fairly mundane - try say a trap to line...
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« Last Edit: March 18, 2013, 12:12:28 PM by David Makin »
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makc
Strange Attractor
Posts: 272
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« Reply #13 on: March 18, 2013, 07:11:45 PM » |
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or menger sponge )
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ericr
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« Reply #14 on: March 23, 2013, 03:17:52 PM » |
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and now ?
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« Last Edit: March 23, 2013, 03:35:21 PM by ericr »
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