Representation As Lindenmayer System
The Koch Curve can be expressed by a rewrite system (Lindenmayer system).
- Alphabet : F
- Constants : +, −
- Axiom : F++F++F
- Production rules:
- F → F−F++F−F
Here, F means "draw forward", + means "turn right 60°", and − means "turn left 60°".
Read more about this topic: Koch Snowflake
Famous quotes containing the word system:
“We recognize caste in dogs because we rank ourselves by the familiar dog system, a ladderlike social arrangement wherein one individual outranks all others, the next outranks all but the first, and so on down the hierarchy. But the cat system is more like a wheel, with a high-ranking cat at the hub and the others arranged around the rim, all reluctantly acknowledging the superiority of the despot but not necessarily measuring themselves against one another.”
—Elizabeth Marshall Thomas. Strong and Sensitive Cats, Atlantic Monthly (July 1994)