Editing Peano curve (section)

==L-system construction==
The Peano curve shown in the introduction can be constructed using a [[Lindenmayer system]]. This L-system can be described as follows:

{|
|'''Variables''':||{{mono|X Y F}}
|-
|'''Constants''':||{{mono|+ &minus;}}
|-
|'''Start''':||{{mono|X}}
|-
|'''Rules''':||({{mono|X → XFYFX+F+YFXFY&minus;F&minus;XFYFX}}), ({{mono|Y → YFXFY&minus;F&minus;XFYFX+F+YFXFY}})
|}

where "{{mono|F}}" means "draw forward", "+" means "turn clockwise 90°", and "&minus;" means "turn anticlockwise 90°". The image in the introduction shows the images of the first three iterations of the rules.

The curve shown in the 'construction' section be constructed as follows:

{|
|'''Variables''':||{{mono|F}}
|-
|'''Constants''':||{{mono|+ &minus;}}
|-
|'''Start''':||{{mono|F}}
|-
|'''Rules''':||({{mono|F → F+F&minus;F&minus;FF&minus;F&minus;F&minus;FF}})
|}

where "{{mono|F}}" means "draw forward", "+" means "turn clockwise 90°", and "&minus;" means "turn anticlockwise 90°". The image above shows the first two iterations of the rule.