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Sierpinski Carpet

The Sierpinski carpet is a plane fractal first described by Wacław Sierpiński in 1916.

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#if INTERACTIVE
#r "System.Drawing.dll"
#endif

open System.Drawing

let isSierpinskiCarpetPixelFilled(x, y) =
   let rec f (x,y) =
      if x > 0 || y > 0 then
         if x % 3 = 1 && y % 3 = 1 then false
         else f (x/3,y/3)
      else true
   f (x,y)

let width,height = 728, 728   
let image = new Bitmap(width, height)   
for y = 0 to height-1 do
   for x = 0 to width-1 do
      if isSierpinskiCarpetPixelFilled(x,y) 
      then image.SetPixel(x,y,Color.Black)
   
image.Save("carpet.png", Imaging.ImageFormat.Png)
namespace System
namespace System.Drawing
val isSierpinskiCarpetPixelFilled : x:int * y:int -> bool

Full name: Script.isSierpinskiCarpetPixelFilled
val x : int
val y : int
val f : (int * int -> bool)
val width : int

Full name: Script.width
val height : int

Full name: Script.height
val image : Bitmap

Full name: Script.image
Multiple items
type Bitmap =
  inherit Image
  new : filename:string -> Bitmap + 11 overloads
  member Clone : rect:Rectangle * format:PixelFormat -> Bitmap + 1 overload
  member GetHbitmap : unit -> nativeint + 1 overload
  member GetHicon : unit -> nativeint
  member GetPixel : x:int * y:int -> Color
  member LockBits : rect:Rectangle * flags:ImageLockMode * format:PixelFormat -> BitmapData + 1 overload
  member MakeTransparent : unit -> unit + 1 overload
  member SetPixel : x:int * y:int * color:Color -> unit
  member SetResolution : xDpi:float32 * yDpi:float32 -> unit
  member UnlockBits : bitmapdata:BitmapData -> unit
  ...

Full name: System.Drawing.Bitmap

--------------------
Bitmap(filename: string) : unit
   (+0 other overloads)
Bitmap(stream: System.IO.Stream) : unit
   (+0 other overloads)
Bitmap(original: Image) : unit
   (+0 other overloads)
Bitmap(filename: string, useIcm: bool) : unit
   (+0 other overloads)
Bitmap(type: System.Type, resource: string) : unit
   (+0 other overloads)
Bitmap(stream: System.IO.Stream, useIcm: bool) : unit
   (+0 other overloads)
Bitmap(width: int, height: int) : unit
   (+0 other overloads)
Bitmap(original: Image, newSize: Size) : unit
   (+0 other overloads)
Bitmap(width: int, height: int, format: Imaging.PixelFormat) : unit
   (+0 other overloads)
Bitmap(width: int, height: int, g: Graphics) : unit
   (+0 other overloads)
Bitmap.SetPixel(x: int, y: int, color: Color) : unit
type Color =
  struct
    member A : byte
    member B : byte
    member Equals : obj:obj -> bool
    member G : byte
    member GetBrightness : unit -> float32
    member GetHashCode : unit -> int
    member GetHue : unit -> float32
    member GetSaturation : unit -> float32
    member IsEmpty : bool
    member IsKnownColor : bool
    ...
  end

Full name: System.Drawing.Color
property Color.Black: Color
Image.Save(filename: string) : unit
Image.Save(stream: System.IO.Stream, format: Imaging.ImageFormat) : unit
Image.Save(filename: string, format: Imaging.ImageFormat) : unit
Image.Save(stream: System.IO.Stream, encoder: Imaging.ImageCodecInfo, encoderParams: Imaging.EncoderParameters) : unit
Image.Save(filename: string, encoder: Imaging.ImageCodecInfo, encoderParams: Imaging.EncoderParameters) : unit
namespace System.Drawing.Imaging
Multiple items
type ImageFormat =
  new : guid:Guid -> ImageFormat
  member Equals : o:obj -> bool
  member GetHashCode : unit -> int
  member Guid : Guid
  member ToString : unit -> string
  static member Bmp : ImageFormat
  static member Emf : ImageFormat
  static member Exif : ImageFormat
  static member Gif : ImageFormat
  static member Icon : ImageFormat
  ...

Full name: System.Drawing.Imaging.ImageFormat

--------------------
Imaging.ImageFormat(guid: System.Guid) : unit
property Imaging.ImageFormat.Png: Imaging.ImageFormat
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More information

Link:http://fssnip.net/tG
Posted:1 year ago
Author:Phillip Trelford
Tags: art