L-system in M4

L-system or Lindenmayer system is a type of formal grammar. This is a collection of DOL-system (Deterministic Context-Free L-system) rewriting rules implemented in the M4 language. Let's have fun with fractals, a kind of recreational mathematics.

Install necessary packages:

# dnf install -y m4 python3-tkinter

A fractal tree

$ m4 lsys.m4 tree_colored.ls | turtle_plotter

$A fractal tree$

A fractal plant

$ m4 lsys.m4 plant_colored.ls | turtle_plotter

$A fractal plant$

Sierpiński triangle

$ m4 lsys.m4 sierpinski.ls | turtle_plotter

Koch snowflake

$ m4 lsys.m4 koch_snowflake.ls | turtle_plotter

Hilbert curve

$ m4 lsys.m4 hilbert_curve.ls | turtle_plotter

Peano curve

$ m4 lsys.m4 peano_curve.ls | turtle_plotter

Penrose tiling

$ m4 lsys.m4 penrose_tiling.ls | turtle_plotter

Islands and lakes

$ m4 lsys.m4 islands_and_lakes.ls | turtle_plotter

Anklets of Krishna

$ m4 lsys.m4 anklets_of_krishna.ls | turtle_plotter

Pentagon (in one stroke)

$ m4 lsys.m4 pentagon.ls | turtle_plotter -i

Fibonacci tree

$ m4 lsys.m4 fibonacci_tree.ls | turtle_plotter

How to animate resulting graphic symbols

$ m4 lsys.m4 fibonacci_tree.ls | turtle_plotter -i
$ turtle_plotter -h

Your steps to understand L-system production rules in M4

$ m4 lsys.m4 how_it_works.ls
$ m4 lsys.m4 aAA.ls

If you want to become a great fractalist, the following book is mandatory reading: http://algorithmicbotany.org/papers/abop/abop.pdf

Name		Name	Last commit message	Last commit date
Latest commit History 141 Commits
doc		doc
img		img
.gitignore		.gitignore
.vimrc		.vimrc
32_segment_curve.ls		32_segment_curve.ls
Makefile		Makefile
README.md		README.md
aAA.ls		aAA.ls
alga.ls		alga.ls
algae.ls		algae.ls
algae_tree.ls		algae_tree.ls
andrea.ls		andrea.ls
andrea_4.ls		andrea_4.ls
andrea_5.ls		andrea_5.ls
andrea_6.ls		andrea_6.ls
andrea_rosette.ls		andrea_rosette.ls
angular.ls		angular.ls
anklets_of_krishna.ls		anklets_of_krishna.ls
board.ls		board.ls
box_fractal.ls		box_fractal.ls
bush_like_structure_three_dim.ls		bush_like_structure_three_dim.ls
cantor_set.ls		cantor_set.ls
crossdragon.ls		crossdragon.ls
dekking.ls		dekking.ls
dragon_curve.ls		dragon_curve.ls
fass_curve_1.ls		fass_curve_1.ls
fass_curve_2.ls		fass_curve_2.ls
fass_curve_3.ls		fass_curve_3.ls
fass_spiral.ls		fass_spiral.ls
fernando.ls		fernando.ls
fibonacci.ls		fibonacci.ls
fibonacci_tree.ls		fibonacci_tree.ls
fir_branch.ls		fir_branch.ls
fir_tree.ls		fir_tree.ls
flake.ls		flake.ls
gosper_curve.ls		gosper_curve.ls
grammar.m4		grammar.m4
grammars.txt		grammars.txt
grid.ls		grid.ls
hexa_grid.ls		hexa_grid.ls
hexagonal_tiling.ls		hexagonal_tiling.ls
hilbert_curve.ls		hilbert_curve.ls
hilbert_curve_three_dim.ls		hilbert_curve_three_dim.ls
how_it_works.ls		how_it_works.ls
islands_and_lakes.ls		islands_and_lakes.ls
koch_1.ls		koch_1.ls
koch_4.ls		koch_4.ls
koch_5.ls		koch_5.ls
koch_6.ls		koch_6.ls
koch_7.ls		koch_7.ls
koch_anti_snowflake.ls		koch_anti_snowflake.ls
koch_curve.ls		koch_curve.ls
koch_curve_quadratic.ls		koch_curve_quadratic.ls
koch_island.ls		koch_island.ls
koch_quadratic_snowflake.ls		koch_quadratic_snowflake.ls
koch_quadratic_snowflake_2.ls		koch_quadratic_snowflake_2.ls
koch_quadratic_snowflake_3.ls		koch_quadratic_snowflake_3.ls
koch_rectangles.ls		koch_rectangles.ls
koch_snowflake.ls		koch_snowflake.ls
koch_square_snowflake.ls		koch_square_snowflake.ls
leaf.ls		leaf.ls
levy_c_curve.ls		levy_c_curve.ls
lines.ls		lines.ls
lsys.m4		lsys.m4
mango_leaves.ls		mango_leaves.ls
moore_curve.ls		moore_curve.ls
pattern.ls		pattern.ls
peano_curve.ls		peano_curve.ls
peano_curve_polygon.ls		peano_curve_polygon.ls
peano_gosper_curve.ls		peano_gosper_curve.ls
penrose_tiling.ls		penrose_tiling.ls
penrose_tiling_2.ls		penrose_tiling_2.ls
penrose_tiling_3.ls		penrose_tiling_3.ls
pentafrac.ls		pentafrac.ls
pentafrac_oriented_scaled.ls		pentafrac_oriented_scaled.ls
pentafrac_scaled.ls		pentafrac_scaled.ls
pentagon.ls		pentagon.ls
pentagram.ls		pentagram.ls
pentagram_recur.ls		pentagram_recur.ls
pentagram_recur_exact.ls		pentagram_recur_exact.ls
pentakoch.ls		pentakoch.ls
pentaline.ls		pentaline.ls
pentaplex.ls		pentaplex.ls
pentastar.ls		pentastar.ls
plant.ls		plant.ls
plant_colored.ls		plant_colored.ls
plant_colored_scale_thickness.ls		plant_colored_scale_thickness.ls
quadratic_gosper_curve.ls		quadratic_gosper_curve.ls
shrub.ls		shrub.ls
sierpinski.ls		sierpinski.ls
sierpinski_arrowhead_curve.ls		sierpinski_arrowhead_curve.ls
sierpinski_carpet.ls		sierpinski_carpet.ls
sierpinski_curve.ls		sierpinski_curve.ls
sierpinski_curve_classic.ls		sierpinski_curve_classic.ls
sierpinski_curve_square_grid.ls		sierpinski_curve_square_grid.ls
sierpinski_median_curve.ls		sierpinski_median_curve.ls
snake_kolam.ls		snake_kolam.ls
spiral_tiling.ls		spiral_tiling.ls
square_cross.ls		square_cross.ls
stars.ls		stars.ls

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L-system in M4

Install necessary packages:

A fractal tree

A fractal plant

Sierpiński triangle

Koch snowflake

Hilbert curve

Peano curve

Penrose tiling

Islands and lakes

Anklets of Krishna

Pentagon (in one stroke)

Fibonacci tree

How to animate resulting graphic symbols

Your steps to understand L-system production rules in M4

Contact (Base64): bTR1bml4QGdtYWlsLmNvbQ

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L-system in M4

Install necessary packages:

A fractal tree

A fractal plant

Sierpiński triangle

Koch snowflake

Hilbert curve

Peano curve

Penrose tiling

Islands and lakes

Anklets of Krishna

Pentagon (in one stroke)

Fibonacci tree

How to animate resulting graphic symbols

Your steps to understand L-system production rules in M4

Contact (Base64): bTR1bml4QGdtYWlsLmNvbQ

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