With apologies to real estate agents, we’d like to say that the three most important factors in design are scale, scale, and scale. One reason is that many of the worst environmental design blunders of the 20th century have been mistakes of scale — especially our failures to come to terms with the linked nature of scales, ranging from small to large. The cumulative consequence of these failures is that the scales of the built environment have become highly fragmented, and (for reasons we detail here) this is not a good thing. Can we correct this shortcoming?

Most designers know something about “fractals,” those beautiful patterns that mathematicians like Benoît Mandelbrot have described in precise structural detail. In essence, fractals are patterns of elements that are “self-similar” at different scales. They repeat a similar geometric pattern in many different sizes. We see fractal patterns almost everywhere in nature: in the graceful repetition at different scales of the fronds of ferns, or the branching patterns of veins, or the more random-appearing (but repetitive at different scales) patterns of clouds or coastlines.

Figure 1. The beautiful structure of fractals, patterns that are repeated and sometimes rotated or otherwise transformed at different scales. Left, a natural example of ice crystals (Photo: Schnobby@wikimediacommons). Right, a computer-generated fractal coral reef that, helped by color and shading effects, could be mistaken for a natural scene (Photo: Prokofiev@wikimediacommons).

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