This example shows the stability of the Peano space-filling curve: each order of the curve can be overlapped to each other (click the canvas to see it).
By stability, we indicate the property of the curve to yield stable layouts, suitable for treemaps that follow our data cartography methodology. According to it, a slight change in input data should be reflected only by a slight change in the map. An unstable curve (like the classical Hilbert curve, see this example) could cause a map to flip even if a single cell is added.