 However, if the fractal has an empty interior, this decomposition may not lead to a tiling of the entire plane.For example, the Sierpinski triangle is rep-3, tiled with three copies of itself, and the Sierpinski carpet is rep-8, tiled with eight copies of itself, but repetition of these decompositions does not form a tiling.On the other hand, the dragon curve is a space-filling curve with a non-empty interior; it is rep-4, and does form a tiling.