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
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“A person, seasoned with a just sense of the imperfections of natural reason, will fly to revealed truth with the greatest avidity: while the haughty Dogmatist, persuaded that he can erect a compleat system of Theology by the mere help of philosophy, disdains any further aid, and rejects this adventitious instructor.”
—David Hume (1711–1776)
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