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Koch curve
This is a fractal curve. You can find more information about this at Wikipedia.
Logo script:
# Koch curve
reset
canvassize 850, 550
go 125, 350
turnright 90
learn koch $x, $t {
if $t>0 {
$t=$t-1
$x=$x/3
koch $x, $t
turnleft 60
koch $x, $t
turnright 120
koch $x, $t
turnleft 60
koch $x, $t
} else {
forward 3*$x
}
}
koch 200, 6
Result:
Sierpinski Triangle
Another famous fractal is the Sierpinski triangle.
Logo script:
# Sierpinski triangle
learn sierp $l {
if $l > 2 {
repeat 3 {
sierp $l/2
forward $l
turnleft 120
}
}
}
reset
canvassize 600, 533
go 50, 483
turnright 90
sierp 500
Result:
Heighway Dragon
Another famous fractal is the Heighway Dragon.
Logo script:
# Heighway dragon
reset
canvassize 500, 500
go 320, 400
turnright 90
$size = 7
learn X $depth {
if $depth>0 {
X $depth-1
turnleft 90
Y $depth-1
forward $size
}
}
learn Y $depth {
if $depth>0 {
forward $size
X $depth-1
turnright 90
Y $depth-1
}
}
pencolor 0,255,0
forward $size
X 10
turnleft 90
pencolor 255,0,0
Y 10
forward $size
go 50,450
Result: