Garden-Variety Fractals

Published by patrick honner on

My Mom gave me some clippings of a Christmas Cactus (Chris, pictured at the right), and after taking a while to get accustomed to her new home, Chris is finally starting to grow.

Christmas Cactus

The new leaves sprouting out, smaller but similar to the original, put me in mind of the Mandelbrot set.  The bulbs that “grow” out of the Mandelbrot set are perfectly similar to the original, and no matter how much you zoom in, you’ll always see the exact same sort of object.

plants and fractal
I can’t say for sure if the leaves of the Christmas Cactus are infinitely self-similar, but it’s close enough for my eyes.

patrick honner

Math teacher in Brooklyn, New York


Mike · August 23, 2010 at 8:09 pm

seen this?

MrHonner · August 23, 2010 at 9:36 pm

I do not know much about Magic Squares, and I have not seen this–I’ll take a closer look.

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