91 lines
2.8 KiB
Org Mode
91 lines
2.8 KiB
Org Mode
* L-Systems
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[[https://travis-ci.org/dlozeve/lsystems][https://travis-ci.org/dlozeve/lsystems.svg?branch=master]]
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[[https://opensource.org/licenses/BSD-3-Clause][https://img.shields.io/badge/License-BSD%203--Clause-blue.svg]]
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Generate and draw [[https://en.wikipedia.org/wiki/L-system][L-systems]]!
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[[./img/demo.png]]
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** Introduction
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This program can be used to generate arbitrary L-systems. It supports:
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+ full rewriting rules
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+ full representation rules
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+ personalized angle and segment length for the representation
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+ push ('[') and pop (']') operations
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** ~LSystem~ data type
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An L-system consists of:
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+ the L-system itself:
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+ an alphabet
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+ an axiom (i.e. the starting point)
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+ a set of rewriting rules (represented as a list of tuples)
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+ rules to transform it into a graphical representation:
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+ an angle and a length
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+ a set of representation rules (which symbols mean "draw forward",
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"turn left", "pop a position", etc.)
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** Building and running
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You will need [[https://docs.haskellstack.org/][Stack]].
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From the repository, run:
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#+BEGIN_SRC sh
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stack build
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stack exec lsystems-exe
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#+END_SRC
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This will open a window, where you can move around using the mouse and
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zoom by scrolling.
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For tests and documentation, run:
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#+BEGIN_SRC sh
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stack test --haddock
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#+END_SRC
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You can choose the L-system and the number of iteration via
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command-line arguments, see the output of ~--help~:
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#+BEGIN_SRC
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lsystems -- Generate L-systems
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Usage: lsystems-exe [LSYSTEM] [-n|--iterations N] [-c|--color R,G,B]
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[-w|--white-background] [-l|--list-lsystems]
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Generate and draw an L-system
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Available options:
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LSYSTEM L-system to generate (default: penroseP3)
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-n,--iterations N Number of iterations (default: 5)
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-c,--color R,G,B Foreground color RGBA
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(0-255) (default: RGBA 1.0 1.0 1.0 1.0)
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-w,--white-background Use a white background
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-l,--list-lsystems List all available L-systems
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-h,--help Show this help text
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#+END_SRC
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** Examples provided
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*** Space-filling curves
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+ [[https://en.wikipedia.org/wiki/Hilbert_curve][Hilbert curve]]
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+ [[https://en.wikipedia.org/wiki/Gosper_curve][Gosper curve]]
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*** Fractals
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+ [[https://en.wikipedia.org/wiki/L%C3%A9vy_C_curve][Lévy C curve]]
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+ [[https://en.wikipedia.org/wiki/Koch_snowflake][Koch snowflake]] and Koch curve
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+ [[https://en.wikipedia.org/wiki/Sierpinski_triangle][Sierpinski triangle]] and Sierpinski arrow curve
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+ [[https://en.wikipedia.org/wiki/Dragon_curve][Dragon curve]]
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+ Binary tree and fractal plant
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*** Tilings
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+ [[https://en.wikipedia.org/wiki/Penrose_tiling#Rhombus_tiling_(P3)][Penrose P3 tiling]]
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** Implementation
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The program is implemented in Haskell, using [[https://hackage.haskell.org/package/gloss][Gloss]] to display the
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generated L-systems.
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