几种分形的mathematica实现

kochPointList?ptList_? :? Module??temp ? ??, i, classNum ? Length?ptList? ? 2?, For?i ? 0, i ? classNum, i ? i ? 1, temp ? Join?temp, ?ptList??2 i ? 1??, ptList??2 i ? 1?? 2 ? 3 ? ptList??2 i ? 2?? 1 ? 3, ptList??2 i ? 1?? 2 ? 3 ? ptList??2 i ? 2?? 1 ? 3, ?ptList??2 i ? 1?? ? ptList??2 i ? 2??? ? 2 ? ?ptList??2 i ? 1????2?? ? ptList??2 i ? 2????2??, ptList??2 i ? 2????1?? ? ptList??2 i ? 1????1??? ? Sqrt?3? ? 6, ?ptList??2 i ? 1?? ? ptList??2 i ? 2??? ? 2 ? ?ptList??2 i ? 1????2?? ? ptList??2 i ? 2???? 2??, ptList??2 i ? 2????1?? ? ptList??2 i ? 1????1??? ? Sqrt?3? ? 6, ptList??2 i ? 1?? 1 ? 3 ? ptList??2 i ? 2?? 2 ? 3, ptList??2 i ? 1?? 1 ? 3 ? ptList??2 i ? 2?? 2 ? 3, ptList??2 i ? 2?? ???????????????????????????4?????? ???????????????????????????? ???; ??Print?temp?;??temp?; kochPlot?finalList_? :? Module??kochClass ? ??, i, kochClassNum ? Length?finalList? ? 2?, For?i ? 0, i ? kochClassNum, i ? i ? 1, AppendTo?kochClass, Line??finalList??2 i ? 1??, finalList??2 i ? 2??????; Show?Graphics?kochClass?????Graphics???AspectRatio???? originSparkPtList1 ? ???1, 0?, ?1, 0??; originSparkPtList2 ? ??1, 0?, ??1, 0??; originSparkPtList3 ? ??1, 0?, ??1, 0?, ??1, 0?, ?0, 3 ?, ?0, 3 ?, ?1, 0??; ?kochPlot?Nest?kochPointList, originSparkPtList1, 4??, kochPlot?Nest?kochPointList, originSparkPtList3, 4??, kochPlot?Nest?kochPointList, originSparkPtList2, 4??? ? , , ? Cl ick to bu y N OW ! PD F-XChange w ww.docu-track .co m C lic k t o b uy N OW ! PD F-XChange w ww.docu-track .co m sierPointList?ptList_? :? Module??temp ? ??, i, classNum ? Length?ptList? ? 3?, For?i ? 0, i ? classNum, i ? i ? 1, temp ? Join?temp, ? ptList??3 i ? 1??, ?ptList??3 i ? 1?? ? ptList??3 i ? 2??? ? 2, ?ptList??3 i ? 1?? ? ptList??3 i ? 3??? ? 2, ?ptList??3 i ? 1?? ? ptList??3 i ? 2??? ? 2, ptList??3 i ? 2??, ?ptList??3 i ? 2?? ? ptList??3 i ? 3??? ? 2, ?ptList??3 i ? 1?? ? ptList??3 i ? 3??? ? 2, ?ptList??3 i ? 2?? ? ptList??3 i ? 3??? ? 2, ptList??3 i ? 3?? ???; ??Print?temp?;??temp?; sierPlot?finalList_? :? Module??sierTriClass ? ??, i, sierTriClassNum ? Length?finalList? ? 3?, For?i ? 0, i ? sierTriClassNum, i ? i ? 1, AppendTo?sierTriClass, Line? ?finalList??3 i ? 1??, finalList??3 i ? 2??, finalList??3 i ? 3??, finalList??3 i ? 1??? ???; Show?Graphics?sierTriClass?, AspectRatio ? 1 ? GoldenRatio?? originSparkPtList1 ? ???1, 0?, ?0, 3 ?, ?1 2 , 0??; originSparkPtList2 ? ???1, 0?, ?0, ? 3 ?, ?1 2 , 0??; ?sierPlot?Nest?sierPointList, originSparkPtList1, 4??, sierPlot?Nest?sierPointList, originSparkPtList2, 4??? ? , ? iterF?miuX_, miuY_, iterN_, zX0_, zY0_? :? Block??miu ? miuX ? I miuY, z ? zX0 ? I zY0, count ? 0?, While?Abs?z? ? 2.0 && count ? iterN, z ? z2 ? miu; count???; Return?count?;?; mdbtPlot1 ? DensityPlot?iterF?x, y, 50, 0, 0?, ?x, ?2.5, 2?, ?y, ?2, 2?, PlotPoints ? 150, AspectRatio ? Automatic?; mdbtPlot2 ? Show?mdbtPlot1, Graphics? Line????0.85, ?0.3?, ??0.65, ?.3?, ??0.65, ?.1?, ??0.85, ?.1?, ??0.85, ?0.3?????; mdbtPlot3 ? DensityPlot?iterF?x, y, 50, 0, 0?, ?x, ?0.85, ?0.65?, ?y, ?.3, ?.1?, PlotPoints ? 100, AspectRatio ? Automatic?; ?Show?mdbtPlot1?, Show?mdbtPlot2?, Show?mdbtPlot3?? ? , , ? 2 ReleaseFinal.nb Cl ick to bu y N OW ! PD F-XChange w ww.docu-track .co m C lic k t o b uy N OW ! PD F-XChange w ww.docu-track .co m alfa ? 45 Random?? Degree; beta ? 30 Random?? Degree; treePointList?ptList_? :? Block??temp ? ??, i, classNum ? Length?ptList? ? 2, alfa, beta?, ??Block?????Block??????????????????????????????? For?i ? 0, i ? classNum, i ? i ? 1, temp ? Join?temp, ? ptList??2 i ? 1??, ptList??2 i ? 1?? 2 ? 3 ? ptList??2 i ? 2?? 1 ? 3, ptList??2 i ? 1?? 2 ? 3 ? ptList??2 i ? 2?? 1 ? 3, ptList??2 i ? 1?? ? ? 2 3 Cos?alfa 2 ? Cos? alfa 2 ? ?ptList??2 i ? 2????1?? ? ptList??2 i ? 1????1??? ? Sin? alfa 2 ? ?ptList??2 i ? 2????2?? ? ptList??2 i ? 1????2??? , 2 3 Cos?alfa 2 ? Sin? alfa 2 ? ?ptList??2 i ? 2????1?? ? ptList??2 i ? 1????1??? ? Cos? alfa 2 ? ?ptList??2 i ? 2????2?? ? ptList??2 i ? 1????2??? ?, ptList??2 i ? 1?? 2 ? 3 ? ptList??2 i ? 2?? 1 ? 3, ptList??2 i ? 1?? 1 ? 3 ? ptList??2 i ? 2?? 2 ? 3, ptList??2 i ? 1?? 1 ? 3 ? ptList??2 i ? 2?? 2 ? 3, ptList??2 i ? 1?? 2 ? 3 ? ptList??2 i ? 2?? 1 ? 3 ? ? 2 3 Cos?beta 2 ? Cos? beta 2 ? ?ptList??2 i ? 2????1?? ? ptList??2 i ? 1????1??? ? Sin? beta 2 ? ?ptList??2 i ? 2????2?? ? ptList??2 i ? 1????2??? , 2 3 Cos?beta 2 ? Cos? beta 2 ? ?ptList??2 i ? 2????2?? ? ptList??2 i ? 1????2??? ? Sin? beta 2 ? ?ptList??2 i ? 2????1?? ? ptList??2 i ? 1????1??? ?, ptList??2 i ? 1?? 1 ? 3 ? ptList??2 i ? 2?? 2 ? 3, ptList??2 i ? 2?? ????????????????????????????????????5?????? ???????????????????????????? ???; ??Print?temp?;??temp?; treePlot?finalList_? :? Module??treeClass ? ??, i, treeClassNum ? Length?finalList? ? 2?, For?i ? 0, i ? treeClassNum, i ? i ? 1, AppendTo?treeClass, Line? ? finalList??2 i ? 1??, finalList??2 i ? 2?? ? ???; Show?Graphics?treeClass?????Graphics???AspectRatio???? originSparkPtList ? ??0, 0?, ?1, .5??; treePlot?Nest?treePointList, originSparkPtList, 4?? ReleaseFinal.nb 3 Cl ick to bu y N OW ! PD F-XChange w ww.docu-track .co m C lic k t o b uy N OW ! PD F-XChange w ww.docu-track .co m W?lam_, n_, s_, x_? :? Sum?lam?s?2? k Sin?lamk x?, ?k, 1, n??; ?Plot?W?2, 20, 1.1, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.2, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.3, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.4, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.5, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.6, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.7, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.8, x?, ?x, ?1, 1??, Plot?W?2, 20, 1.9, x?, ?x, ?1, 1??? ? ?1.0 ?0.5 0.5 1.0 ?0.6 ?0.4 0.2 0.4 0.6 , ?1.0 ?0.5 0.5 1.0 ?0.5 0.5 , ?1.0 ?0.5 0.5 1.0 ?1.0 ?0.5 0.5 1.0 , ?1.0 ?0.5 0.5 1.0 ?1.0 ?0.5 0.5 1.0 , ?1.0 ?0.5 0.5 1.0 ?1.0 ?0.5 0.5 1.0 , ?1.0 ?0.5 0.5 1.0 ?1.5 ?1.0 ?0.5 0.5 1.0 1.5 , ?1.0 ?0.5 0.5 1.0 ?2 ?1 1 2 , ?1.0 ?0.5 0.5 1.0 ?3 ?2 ?1 1 2 3 , ?1.0 ?0.5 0.5 1.0 ?4 ?2 2 4 ? juliaIterF?miuX_, miuY_, iterN_, zX0_, zY0_? :? Block??miu ? miuX ? I miuY, z ? zX0 ? I zY0, count ? 0?, While?Abs?z? ? 2.0 && count ? iterN, z ? z2 ? miu; count???; Return?count?;?; juliaPlot1 ? DensityPlot?juliaIterF?0, 0, 50, x, y?, ?x, ?2, 2?, ?y, ?2, 2?, PlotPoints ? 150, AspectRatio ? Automatic?; juliaPlot2 ? DensityPlot?juliaIterF?0.27334, 0.00742, 50, x, y?, ?x, ?2, 2?, ?y, ?2, 2?, PlotPoints ? 150, AspectRatio ? Automatic?; juliaPlot3 ? Show?juliaPlot2, Graphics? Line????0.7, ?0.1?, ??0.3, ?.1?, ??0.3, .3?, ??0.7, .3?, ??0.7, ?0.1?????; juliaPlot4 ? DensityPlot?juliaIterF?0.27334, 0.00742, 50, x, y?, ?x, ?0.7, ?0.4?, ?y, ?.1, .3?, PlotPoints ? 100, AspectRatio ? Automatic?; ?Show?juliaPlot1?, Show?juliaPlot2?, Show?juliaPlot3?, Show?juliaPlot4?? ? , , , ? 4 ReleaseFinal.nb Cl ick to bu y N OW ! PD F-XChange w ww.docu-track .co m C lic k t o b uy N OW ! PD F-XChange w ww.docu-track .co m Posi1 ? 0.28; pointA ? 1 ? 2 ? I ? 2; f1?z_? :? ?z ? pointA? ? 2; Posi2 ? 0.44; pointB ? 0; f2?z_? :? ?z ? pointB? ? 2; Posi3 ? 0.28; pointC ? 1; f3?z_? :? ?z ? pointC? ? 2; f?z_? :? Block??randSeed ? Random???, Which?randSeed ? Posi1, f1?z?, randSeed ? Posi2 ? Posi1, f2?z?, True, f3?z???; showIFS?z0_, plotRegion_List, xDividNum_, yDividNum_, maxIter_? :? Block??xStat ? 1, yStat ? 1, z ? z0, a ? xDividNum, b ? yDividNum, ptBlockMax ? 0?, Array?ptBlockStat, ?a, b??; For?i ? 1, i ?? a, i ? i ? 1, For?j ? 1, j ?? b, j ? j ? 1, ptBlockStat?i, j? ? 0??; For?i ? 1, i ?? maxIter, i ? i ? 1, xStat ? Floor?a ? Re?z? ? plotRegion??1????1?? plotRegion??2????1?? ? plotRegion??1????1?? ? ? 1; yStat ? Floor?b ? Im?z? ? plotRegion??1????2?? plotRegion??2????2?? ? plotRegion??1????2?? ? ? 1; ptBlockStat?xStat, yStat???; z ? f?z?;??Print?f?z?????; For?i ? 1, i ?? a, i ? i ? 1, For?j ? 1, j ?? b, j ? j ? 1, ??Print?ptBlockStat?i,j??;??ptBlockMax ? Max?ptBlockMax, ptBlockStat?i, j????; grayBlockStat ? Table?GrayLevel ? 1 ? 2.2 N?ptBlockStat?j, i??????????j,i???i,j?? ptBlockMax ?, ?i, 1, a?, ?j, 1, b??; Show?Graphics?RasterArray????RasterArray????????????grayBlockStat??? ?; showIFS?0 ? I 0, ???.1, ?.1?, ?1.1, 0.6??, 150, 150, 100000? RasterArray::obs : RasterArray is obsolete. Translating to Raster. ? ReleaseFinal.nb 5 Cl ick to bu y N OW ! PD F-XChange w ww.docu-track .co m C lic k t o b uy N OW ! PD F-XChange w ww.docu-track .co m