What You Need to Know About Fractal Dimensions of Cauliflower

Judy harvested these two excellent heads of cauliflower this afternoon.  The one on the right is one of the best heads we’ve ever grown.  It was over eight inches across and perfect in every way.

I searched “cauliflower” on Wikipedia just to see what might be of interest for a blog post and discovered fractal dimensions.  Mathematicians find broccoli and cauliflower interesting because of their fractals.

A paper cited says:  “The fractal structures of a green broccoli and a white cauliflower are investigated by box-counting method of their cross-sections. The capacity dimensions of the cross-sections are 1.78 ± 0.02 for a green broccoli and 1.88±0.02 for a white cauliflower, and both are independent of their directions.”

I’m not going to suggest I really know what math guys are talking about, but if you’re curious, here you go:  http://arxiv.org/PS_cache/cond-mat/pdf/0411/0411597v1.pdf and http://en.wikipedia.org/wiki/Fractal_dimension


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