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pix_strange_attractor [2007-06-21 08:07] – nikpix_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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 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 'optimal' properties.) 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 'optimal' properties.)
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 ==== 20 Jun 2007 ==== ==== 20 Jun 2007 ====
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 so, to describe a bit more. the black and green areas are where the map doesn't just spin off to infinity, but keeps returning values. in the black areas, the fractal dimension is very low, so it is possible that the map just returns a small number of points over and over again. in the green areas, the fractal dimension is higher (and highest where the green is lightest). the points with highest dimension probably produce points in a voluminous cloud, or at best a sheet. the darker green areas possibly producing points arranged as lines. so, to describe a bit more. the black and green areas are where the map doesn't just spin off to infinity, but keeps returning values. in the black areas, the fractal dimension is very low, so it is possible that the map just returns a small number of points over and over again. in the green areas, the fractal dimension is higher (and highest where the green is lightest). the points with highest dimension probably produce points in a voluminous cloud, or at best a sheet. the darker green areas possibly producing points arranged as lines.
  
-it would be really interesting to be able to click around on this image and see the attractor that each point represents. i' not sure yet if that will make it into the research or if it will be a future direction.+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.
  
 === Yet another animation === === Yet another animation ===
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 {{movingbasin.gif?64x64|click for full size}} {{movingbasin.gif?64x64|click for full size}}
 +
 +(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 ==== ==== twiki era cruft ====
  • pix_strange_attractor.1182413273.txt.gz
  • Last modified: 2007-06-21 08:07
  • by nik