A Geometry of the Pitted, Pocked, and Broken Up

This quote from James Gleick’s book Chaos: Making a New Science refers to the mathematician Benoit Mandelbrot who is considered the “father of fractal geometry”. I think its interesting to think about in relation to contemporary sculpture.

Clouds are not spheres, Mandelbrot is fond of saying, Mountains are not cones. Lightning does not travel in straight lines. the new geometry mirrors a universe that is rough not rounded, scabrous, not smooth. it is a geometry of the pitted, pocked, and broken up, the twisted, tangled, and intertwined. The understanding of nature’s complexity awaiting a suspicion that the complexity was not just random, not just accident. It required a faith that the interesting feature of lightning was not its direction, but rather the distribution of zigs and zags. Mandelbrot’s work made a claim about the world, and the claim was that such odd shapes carry meaning. The pits and tangles are more than blemishes distorting the classic shapes of Euclidian geometry. They are often the key to the essence of a thing.