https://github.com/dhanya-abhirami/kolam
Generates beautiful Kolam Pattern using L-Systems
https://github.com/dhanya-abhirami/kolam
fractal-geometry fractals grammar-rules lsystems p5js rangoli
Last synced: 5 months ago
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Generates beautiful Kolam Pattern using L-Systems
- Host: GitHub
- URL: https://github.com/dhanya-abhirami/kolam
- Owner: Dhanya-Abhirami
- License: gpl-3.0
- Created: 2018-06-15T09:29:02.000Z (over 7 years ago)
- Default Branch: master
- Last Pushed: 2021-11-17T04:55:22.000Z (about 4 years ago)
- Last Synced: 2025-04-15T00:12:17.485Z (7 months ago)
- Topics: fractal-geometry, fractals, grammar-rules, lsystems, p5js, rangoli
- Language: JavaScript
- Homepage: https://dhanya-abhirami.github.io/Kolam/
- Size: 146 KB
- Stars: 12
- Watchers: 1
- Forks: 1
- Open Issues: 0
-
Metadata Files:
- Readme: README.md
- License: LICENSE
Awesome Lists containing this project
README
[](https://www.gnu.org/licenses/gpl-3.0)
# Kolam ⌘
Kolam is a class of patterns drawn using lines, curves and dots. Made of rice flour or chalk, Kolams are a welcome sight in the courtyards of homes in South India.
## Lo Behold!
## L-System
An L-system or Lindenmayer system is a parallel rewriting system and a type of formal grammar. An L-system consists of an alphabet of symbols that can be used to make strings, a collection of production rules that expand each symbol into some larger string of symbols, an initial "axiom" string from which to begin construction, and a mechanism for translating the generated strings into geometric structures.
L-systems differ from Chomsky grammars in that all variables are replaced in each step, and not just one. For example
```
Axiom (Initial State): G G
Production Rule: G -> g G G f
First Derivation: g G G f g G G f
Second Derivation: g g G G f g G G f f g g G G f g G G f f
```
## L-System Application
```
Variables: F,A,B
Axiom: FBFBFBFB
Rules:
A->AFBFA
B->AFBFBFBFA
```
Where,
SymbolMeaning
F Move forward 20 units
ADraw an arc of radius 20 units upto 90 degrees
B
Calculate forward units l = 10/sqrt (2)
Move forward l Units
Draw an arc of radius l units upto 270 degrees
Forward l Units
## References
[Wikipedia](https://en.wikipedia.org/wiki/L-system)
[Graphical modeling](http://algorithmicbotany.org/papers/abop/abop-ch1.pdf)
[Research Paper 1](https://www.researchgate.net/publication/295258996_A_View_of_India_Through_Kolam_Patterns_and_Their_Grammatical_Representation)
[Research Paper 2](https://www.semanticscholar.org/paper/Application-of-L-Systems-to-Algorithmic-Generation-Prusinkiewicz-Krithivasan/940ea81d742a5b8e690bce367ee4981bb6dbba60)
[Example 1](https://imaginary.org/film/mathlapse-l-system-for-single-knot-kolam-pattern-generation)
[Example 2](https://gist.github.com/jhubley/3cc23bf95bb5acaaad09152878a13d3b)
[Example 3](https://users.math.yale.edu/public_html/People/frame/Fractals/Panorama/Art/Kolams/Kolams.html)
## Lightning Talk
This project was presented at [PySangamam 2018](https://youtu.be/Gjgq2Ge05uA?t=397)
## Support Me!
* If you :heart: my project, please give it a :star: .
* Feel free to give me more grammars for Kolam generation