Mandelbrot’s Vegetable Stand

Posted by jns on January 18, 2007

I can’t say I expected to see fractals mentioned in an article about cauliflower — or a casual mention of “the Mandelbrot theory” by a cauliflower farmer — but I wasn’t terribly surprised either. I’ve seen these Romanesco cauliflowers and they are visually astonishing, regardless of whether one is a “Caltech guy” or not. I’m not convinced that our author has a deep understanding of fractals, but she manages to capture the spirit and not do much violence to the idea of self-similarity (at all length scales), so Mrs. Scattergood gets the gold star in science communication for today.

But the Romanesco cauliflower is an heirloom and isn’t to be confused with green cauliflower, or broccoflower, which is a cross between a broccoli and a cauliflower. Romanesco is astonishing in appearance, as much for its composition as for its color. Lime-green in hue, a head (or curd) of Romanesco is a near-perfect example of naturally occurring fractal: a fragmented geometric shape composed of smaller parts that are copies of the whole. The cauliflower resembles an M.C. Escher print more than something you’d find naturally occurring in your vegetable garden.

“The guys at Caltech come down and study them,” says Alex Weiser of Weiser Family Farms, in whose farmers market stands you’ll find all three varieties of cauliflower. “Something about the Mandelbrot theory.” But you don’t need a degree in mathematics to cook them. Whether they’re fully grown or beautiful babies, Weiser prefers his cauliflower roasted, with just a little sea salt and olive oil splashed on before they’re put in a hot oven.

[Amy Scattergood, "A Brilliant Comeback", Los Angeles Times via Baltimore Sun, undated, read on 19 January 2006.]