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.
[Enlarge - version 1]
[Enlarge - version 2]
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.