Exploring life and the world with wide eyes and curiosity.

Fractal Fibonacci Romanesco*

They call it “Cavolfiore” or Cauliflower here, but Americans call it “Romanesco Broccoli”. Either way, it tastes great, it’s absolutely beautiful, and it’s math on your plate.

The Romanesco is a clear example of fractals and the fibonacci number sequence.

See how the whole head of Romanesco is made of smaller heads that mimic the shape of the bigger head, and each of those smaller heads is made of even smaller, duplicate heads? Fractals!

FRACTALS: “A fractal is a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole… Because they appear similar at all levels of magnification, fractals are often considered to be infinitely complex (in informal terms).” (Check Wikipedia for cool examples and further explanation: http://en.wikipedia.org/wiki/Fractal)

And you see the ever-expanding spiral emanating from the center point along which all the smaller heads are arranged? The Fibonacci sequence and the Fibonacci spiral!

FIBONACCI: “In the Fibonacci sequence of numbers, each number is the sum of the previous two numbers, starting with 0 and 1. Thus the sequence begins 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 etc.” (Wikipedia, http://en.wikipedia.org/wiki/Fibonacci)

Click HERE for a beautiful video by Cristóbal Vila about numbers as they establish patterns in nature.

*TWO words are Italian!

  1. patruMarch 25,10

    Interesting idea. Our 2007/2008 yearbook earned a First Place with Special Merit award from the American Scholastic Press Association. The theme was “Fractal.”

    That IS a beautiful image of broccoli. I like the sepia coloring.

  2. MaureenMarch 26,10

    The theme for the yearbook was “fractal”!? HOW did they carry that out? Curious.

    I have a wonderful, funky, wooden trestle table that I sit at and it, with the romanesco, seemed to call for a sepia tone.

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