Kite Tree

- recursive kite shape

Fractal

Similar to the Lune Tree this is drawn using the kite shape. To ensure shapes overlap correctly, the tree is drawn in increasing depths from 1 to :Order.

To New
  # set default screen, pen and turtle values
  ResetAll SetScreenSize [400 400] HideTurtle
  SetSC Black SetPC Green SetPS 1 PenUp
End

To Init
  # make Angle and Scale global values
  GlobalMake "Angle 54
  GlobalMake "Scale 1.79
End

To Tree :Order :Size
  If :Order <0 [Stop]     # end recursion if order <0
  If :Order =0 [DrawKite :Size] [Forward :Size]     # draw kite if order =0
  Left 1.5*:Angle Tree :Order-1 :Size/:Scale
  Right :Angle Tree :Order-1 :Size/:Scale
  Right :Angle Tree :Order-1 :Size/:Scale
  Right :Angle Tree :Order-1 :Size/:Scale
  Left 1.5*:Angle Back :Size
End

To DrawKite :Size
  Forward :Size/2 Make "Col PenColor
  SetPC White Kite :Size FillZone SetPC :Col Fill
  SetPC Black Kite :Size SetPC :Col
  Forward :Size/2
End

To Kite :Size
  # kite shape drawn from centre (tp)
  Back :Size/2 PenDown
  Left 18.4 Forward :Size/1.26 Right 63.4
  Forward :Size/2.82 Right 90 Forward :Size/2.82
  Right 63.4 Forward :Size/1.26
  PenUp Right 161.6 Forward :Size/2     # return to centre
End

To Go :Order
  New Init
  For (List "Ord 0 :Order) [
    Home Back 192
    SetPC Run Item :Ord+1 [DarkRed Brown DarkGreen Green Magenta Cyan]
  Tree :Ord 175]
End

kite tree
Kite Tree

 

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