WOLFRAM|DEMONSTRATIONS PROJECT

Tiling Dragons and Rep-tiles of Order Two

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dragon
Lévy dragon
level
5
tiling
basic
unit
patch
color
moiré
bicolor
prototile
1
2
Dragons and rep-tiles of order two constructed by iterated function systems (IFS) of order two can tile the plane. But such a rep-tile can itself also be tiled by simple polygons. This results in a variety of tiling shapes from intermediate iteration steps. Well-known fractals like the Harter–Heighway dragon, Lévy dragon, twindragon and more can be tiled in this way.