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This script generates Barnsleys Fractal Fern using script only. ; version 2017-10-03 ; Barnsley Fractal Fern ; by larnil #include <GUIConstants.au3> Dim $x, $y, $xn, $yn, $n, $r, $dc $WinSize = 800 ; window size ;Create graphics windows AutoItSetOption("GUIOnEventMode", 1) $GUI = GUICreate("Barnsley Fractal Fern", $WinSize, $WinSize, -1, -1) $Graphic = GuiCtrlCreateGraphic(0, 0, $WinSize, $WinSize) GUICtrlSetBkColor(-1, 0x000000) GUICtrlSetGraphic(-1,$GUI_GR_COLOR, 0x00ff00) GUISetState(@SW_SHOW) GUISetOnEvent($GUI_EVENT_CLOSE,"Bye") ;Main $start = TimerInit() _Fern(800) ; hight of fern - can be larger than window MsgBox(0,"Time taken:",Round(TimerDiff($start)/1000,3) &" seconds") While 1 Sleep(100) WEnd Func Bye() Exit EndFunc Func _Fern($height) $f = $height/10.6 ; scale factor. Complete fern is within 0 <= y <= 9.9983 (with no scale) $offset_x = $height/2 - $height/40 ; Side adjustment. Fern is within −2.1820 < x < 2.6558 (with no scale) For $n = 1 To $height*200 ; Number of iterations $r = Random(0, 99, 1) Select Case $r < 85 ; 0-84 = 85% of the time $xn = 0.85 * $x + 0.04 * $y $yn = -0.04 * $x + 0.85 * $y + 1.6 Case $r > 84 AND $r < 92 ; 85-91 = 7% of the time $xn = 0.2 * $x - 0.26 * $y $yn = 0.23 * $x + 0.22 * $y + 1.6 Case $r > 91 AND $r < 99 ; 92-98 = 7% of the time $xn = -0.15 * $x + 0.28 * $y $yn = 0.26 * $x + 0.24 * $y + 0.44 Case Else ; 99-99 = 1% of the time $xn = 0 $yn = 0.16 * $y EndSelect $x = $xn $y = $yn GUICtrlSetGraphic($Graphic, $GUI_GR_PIXEL, $offset_x + $x * $f, $height - $y * $f) Next GUICtrlSetGraphic($Graphic, $GUI_GR_REFRESH) EndFunc ;==> Fern Here is another example where I have used GDI (my very first attempt at using GDI by the way). This script can generate much larger Ferns and save them to file (png). I have used this script to generate a 20000 x 20000 pixel @ 600 dpi image. Looks really good printed out in full size. #include <GDIPlus.au3> #include <GUIConstantsEx.au3> ; Param Local Const $iPxColor = 0xFF00FF00 ; Pixel color for fractal Alpha/R/G/B Local Const $iBgColor = 0xFFFFFFFF ; Background color for image Alpha/R/G/B Local Const $iSize = 1000 ; Hight of fern in pixels - image will have this hight and width too Local Const $iIter = $iSize*400 ; Number of iterations - $iSize * 200 is a good starting point ; Call function ;$start = TimerInit() _Fern($iSize,$iIter) ;MsgBox(0,"Time taken:",Round(TimerDiff($start)/1000,3) &" seconds") ; Function for generating Barnsley Fractal Fern Func _Fern($Size,$Iter) _GDIPlus_Startup() ; initialize GDI+ Local $hBitmap = _GDIPlus_BitmapCreateFromScan0($Size, $Size) ; create an empty bitmap Local $hBmpCtxt = _GDIPlus_ImageGetGraphicsContext($hBitmap) ; get the graphics context of the image _GDIPlus_GraphicsClear($hBmpCtxt, $iBgColor) ; Set the background color for empty bitmap ; Here the magic happens $x=0 ; init $y=0 ; init $f = $Size/10.6 ; scale factor. Complete fern is within 0 <= y <= 9.9983 (with no scale) $offset_x = $Size/2 - $Size/40 ; Side adjustment. Fern is within −2.1820 < x < 2.6558 (with no scale) For $n = 1 To $Iter ; Number of iterations $r = Random(0, 99, 1) Select Case $r < 85 ; 0-84 = 85% of the time $xn = 0.85 * $x + 0.04 * $y $yn = -0.04 * $x + 0.85 * $y + 1.6 Case $r > 84 AND $r < 92 ; 85-91 = 7% of the time $xn = 0.2 * $x - 0.26 * $y $yn = 0.23 * $x + 0.22 * $y + 1.6 Case $r > 91 AND $r < 99 ; 92-98 = 7% of the time $xn = -0.15 * $x + 0.28 * $y $yn = 0.26 * $x + 0.24 * $y + 0.44 Case Else ; 99-99 = 1% of the time $xn = 0 $yn = 0.16 * $y EndSelect $x = $xn $y = $yn _GDIPlus_BitmapSetPixel($hBitmap, $offset_x + $x * $f, $Size - $y * $f, $iPxColor) ; Change pixel color for calculated X,Y Next ; ==> End of magic $File = "\Fractal_Fern_"&StringRight(Hex($iPxColor),6)&"-"&StringRight(Hex($iBgColor),6)&"-"&$iSize&".png" _GDIPlus_ImageSaveToFile($hBitmap, @MyDocumentsDir & $File) ;save bitmap to disk ShellExecute(@MyDocumentsDir & $File); Show it to the world in your default image viewer ; Cleanup GDI+ resources _GDIPlus_GraphicsDispose($hBmpCtxt) _GDIPlus_BitmapDispose($hBitmap) _GDIPlus_Shutdown() EndFunc ;==> _Fern