Classic Iterated Function Systems

Larry Riddle, Agnes Scott College

Lévy Tapestry (Inside)


Description

 
 


Inside
Animation
 
 

Geogebra
Animation
Start the construction of the Lévy Tapestry with a square. The iteration steps for the Lévy dragon are repeated on each of the four sides of the square with the initial triangle motif placed inside the square.
 

4 triangles inside a square

Levy Inside Tapestry
12 Iterations
[Enlarge - version 1]
[Enlarge - version 2]

 


 
 


 


(12 Iterations)

You can see how each of the four copies (up to the 12th iteration) of the Lévy dragon fills the tapestry by clicking on the buttons to the left.

tapestry

L-System


L-system
Animation
Angle 45
Axiom F++F++F++F
F —> +F−−F+

 

References

  1. Lauwerier, Hans. Fractals: Endlessly Repeated Geometric Figures, Princeton University Press, 1991, pp. 45-48 (translated by Sophia Gill-Hoffstadt).