lSystems in Python: Examples

Hexagonal Gosper at order 4

Axiom: XF
X -> X+YF++YF-FX--FXFX-YF+
Y -> -FX+YFYF++YF+FX--FX-Y
Angle: 60
Order: 4

Four Hiway Dragons at Order 11

Axiom: FX
        X -> FX+FY
        Y -> FX-FY
        F ->
Angle: 90
Order: 11

Four Hiway Dragons at Order 13

Axiom: FX
        X -> FX+FY
        Y -> FX-FY
        F ->
Angle: 90
Order: 13

Four Hiway Dragons at Order 14

Axiom: FX
        X -> FX+FY
        Y -> FX-FY
        F ->
Angle: 90
Order: 14

Peano at Order 3

Axiom: X
X -> XFYFX+F+YFXFY-F-XFYFX
Y -> YFXFY-F-XFYFX+F+YFXFY
Angle: 90
Order: 3

Pentigree at Order 4

Axiom: F-F-F-F-F
F -> F-F++F+F-F-F
Angle: 72
Order: 4

Sierpinski Arrowhead at Order 7

Axiom: YF
X -> YF+XF+Y
Y -> XF-YF-X
Angle: 60
Order: 7

Square Sierpinski at Order 5

Axiom: F+XF+F+XF
X -> XF-F+F-XF+F+XF-F+F-X
Angle: 90
Order 5

Tetra Dragon at Order 8

Axiom: F
X -> F+F-F
Angle: 120
Order: 8

Hexagonal Tile at Order 7

Axiom: F
F -> -F+F+f[+F+F]-
f -> ff
Angle: 60
Order: 7

Koch Snowflake at Order 4

Axiom: F--F--F
F -> F+F--F+F
Angle: 60
Order: 4

Quadratic Koch at Order 2

Axiom: F+F+F+F
F -> F-FF+FF+F+F-F-FF+F+F-F-FF-FF+F
Angle: 90
Order: 2

Sierpinski Median at Order 12

Axiom: L--F--L--F
L -> +R-F-R+
L -> -L+F+L-
Angle: 45
Order: 12

Islands and Lakes at Order 1

Axiom: F+F+F+F
F -> F+f-FF+F+FF+Ff+FF-f+FF-F-FF-Ff-FFF
f -> ffffff
Angle: 90
Order: 1

Koch Cubes at Order 4

Axiom: F-F-F-F
F -> FF-F-F-F-FF
Angle: 90
Order: 4

Koch Moss at Order 4

Axiom: F-F-F-F
F -> FF-F--F-F
Angle: 90
Order: 4

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