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pix_strange_attractor [2007-06-14 08:45] – external edit 127.0.0.1 | pix_strange_attractor [2008-04-10 15:20] (current) – 77.128.39.6 | ||
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a place for my sketchy notes on the project... | a place for my sketchy notes on the project... | ||
+ | more info | ||
+ | * my initial research report: [[pix_research_report]] | ||
+ | * which evolved into: [[research_report_pix]] | ||
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actually, looking closer at the demo code, the SpinButton demo displays the text manually with a text box. so making a custom controller should be easy. the spin button will still store integers internally, but i think i will take something of a fixed-point approach, and just specify a multiplier that is applied to the internal SpinButton | actually, looking closer at the demo code, the SpinButton demo displays the text manually with a text box. so making a custom controller should be easy. the spin button will still store integers internally, but i think i will take something of a fixed-point approach, and just specify a multiplier that is applied to the internal SpinButton | ||
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===== exploring the space ===== | ===== exploring the space ===== | ||
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* highf-100.png: | * highf-100.png: | ||
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+ | note from the future (!!): i realise now that this is actually a plot of the basin of attraction (i was changing the initial value for each point in the image, not the constants of the equation). this is also why the fractal dimension isn't changing very obviously. much much later, i do a plot of the fractal dimension when actually changing the constants and the results are more interesting. | ||
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- | as an aside i realised that different starting points is just the same as choosing different coefficients, | + | as an aside i realised that different starting points is just the same as choosing different coefficients, |
==== 17 Dec 2006 ==== | ==== 17 Dec 2006 ==== | ||
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previously i haven' | previously i haven' | ||
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==== 29 Dec 2006 ==== | ==== 29 Dec 2006 ==== | ||
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it would be also interesting to have an automatic parameter fudger (like my applet) but with more parameters controlling the automatic search. for example, hill climbing to maximise some metric. in the sprott book, there is some data correlating how highly people rated a given attractor and cross referenced to the values of the two metrics. there was an obvious maximum for particular values of both. it would be interesting to hunt towards attractors that had these ' | it would be also interesting to have an automatic parameter fudger (like my applet) but with more parameters controlling the automatic search. for example, hill climbing to maximise some metric. in the sprott book, there is some data correlating how highly people rated a given attractor and cross referenced to the values of the two metrics. there was an obvious maximum for particular values of both. it would be interesting to hunt towards attractors that had these ' | ||
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+ | ==== 20 Jun 2007 ==== | ||
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+ | lots of changes in the last few months, but i just wanted to upload this neat new render. i made a normal escape plot for a slice of an attractor (in red, lighter colours mean quicker escape), and then overlayed a plot of the fractal (correlation) dimension (green, lighter colours mean higher dimension). | ||
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+ | {{dimension_colour_merge.png|}} | ||
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+ | so, to describe a bit more. the black and green areas are where the map doesn' | ||
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+ | it would be really interesting to be able to click around on this image and see the attractor that each point represents. i'm not sure yet if that will make it into the research or if it will just be listed as a future direction. | ||
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+ | === Yet another animation === | ||
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+ | Oh, and there is this neat new animation. First some ramblings. I was showing the parameter plots above to Tim Boykett, and he pointed out an important assumption that I was making. The plots are specifically plotting the presence of attractors that just happen to have 0,0,0 in their basin of attraction (because the function doing the escape-plot always uses 0,0,0 as the starting point). To investigate how important this assumption was, I made an animation of parameter plots for changing initial values. The base attractor is the one used in all of the images called " | ||
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+ | [[http:// | ||
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+ | {{movingbasin.gif? | ||
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+ | (this is here twice because the second one, which is the //right way// to link images with thumbnails, results in a slightly corrupted animation) | ||
+ | |||
+ | ==== twiki era cruft ==== | ||
< | < | ||
- | png highf-c00-20-512esc20.png manage 22.2ÊK 17 Dec 2006 - 21:14 pix | + | png highf-c00-20-512esc20.png manage 22.2�K 17 Dec 2006 - 21:14 pix |
- | Ê png highf-c00-10-512esc20.png manage 18.5ÊK 17 Dec 2006 - 21:12 pix | + | � png highf-c00-10-512esc20.png manage 18.5�K 17 Dec 2006 - 21:12 pix |
- | Ê png highf-c11-21-512esc20.png manage 11.7ÊK 17 Dec 2006 - 21:25 pix | + | � png highf-c11-21-512esc20.png manage 11.7�K 17 Dec 2006 - 21:25 pix |
- | Ê png highf-100.png manage 4.8ÊK 15 Dec 2006 - 17:32 pix | + | � png highf-100.png manage 4.8�K 15 Dec 2006 - 17:32 pix |
- | Ê png deg1-c02-12-e20.png manage 11.8ÊK 17 Dec 2006 - 23:05 pix | + | � png deg1-c02-12-e20.png manage 11.8�K 17 Dec 2006 - 23:05 pix |
- | Ê png highf-xz256.png manage 3.9ÊK 15 Dec 2006 - 17:29 pix | + | � png highf-xz256.png manage 3.9�K 15 Dec 2006 - 17:29 pix |
- | Ê png highf-c00-01-512esc20.png manage 18.5ÊK 17 Dec 2006 - 21:10 pix | + | � png highf-c00-01-512esc20.png manage 18.5�K 17 Dec 2006 - 21:10 pix |
- | Ê png highf-yz256.png manage 3.7ÊK 15 Dec 2006 - 17:49 pix | + | � png highf-yz256.png manage 3.7�K 15 Dec 2006 - 17:49 pix |
- | Ê png highf-xy512esc20.png manage 16.2ÊK 17 Dec 2006 - 15:00 pix | + | � png highf-xy512esc20.png manage 16.2�K 17 Dec 2006 - 15:00 pix |
- | Ê png highf-c01-21-512esc20.png manage 18.9ÊK 17 Dec 2006 - 21:23 pix | + | � png highf-c01-21-512esc20.png manage 18.9�K 17 Dec 2006 - 21:23 pix |
- | Ê png highf-xy512esc.png manage 12.5ÊK 17 Dec 2006 - 14:12 pix | + | � png highf-xy512esc.png manage 12.5�K 17 Dec 2006 - 14:12 pix |
- | Ê gif highf-zanim.gif manage 308.5ÊK 19 Dec 2006 - 06:53 pix | + | � gif highf-zanim.gif manage 308.5�K 19 Dec 2006 - 06:53 pix |
- | Ê gif deg1anim.gif manage 520.9ÊK 18 Dec 2006 - 08:32 pix | + | � gif deg1anim.gif manage 520.9�K 18 Dec 2006 - 08:32 pix |
- | Ê gif highf-zanim-slow.gif manage 382.7ÊK 19 Dec 2006 - 13:25 pix | + | � gif highf-zanim-slow.gif manage 382.7�K 19 Dec 2006 - 13:25 pix |
- | Ê png highf-xy256.png manage 3.6ÊK 15 Dec 2006 - 17:28 pix | + | � png highf-xy256.png manage 3.6�K 15 Dec 2006 - 17:28 pix |
- | Ê png highf-c01-11-512esc20.png manage 20.9ÊK 17 Dec 2006 - 21:22 pix | + | � png highf-c01-11-512esc20.png manage 20.9�K 17 Dec 2006 - 21:22 pix |
- | Ê png highf-c10-20-512esc20.png manage 15.4ÊK 17 Dec 2006 - 21:32 pix | + | � png highf-c10-20-512esc20.png manage 15.4�K 17 Dec 2006 - 21:32 pix |
- | Ê | + | � |
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