Agnes Scott College
Larry Riddle, Agnes Scott College
image

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.
 

FourCopiesInsideDesign

Levy Tapestry Inside
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).