A geometric figure, each part of which has the same statistical character as the whole. In a landscape, self-similar fractals occur regardless of the scale at which it is viewed; topographic contours are described as self-similar, and a numerical sequence is statistically self-similar if its statistical moments are the same upon resampling. However, in self-affine fractals, different geometrical directions are scaled differently to preserve shape or statistical moments; see Sung and Cheng (2004) Geomorph. 62, 181; see also Pelletier (2007) Geomorph. 91, 3–4. Fractality is the state or condition of being fractal.