Fruits

romanescoBMany fruits, seedpods and vegetables show fractal patterns, some in spiraling self-similarity and others showing fractal symmetries.

The probably best known example for fractals is the romanesco broccoli. Each of the small sprouts are a downscaled, self similar copy of the whole broccoli. Additionally the sprouts are arranged in a logarithmic spiral.

Often we can find Fibonacci numbers in fruits and seed pods.

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To get an idea how simple the rules are that create these shapes, let’s examine the input needed for a computer to generate a romanesco broccoli:

Hh5nxyq - Fruits
Mathematically generated broccoli

xform
scale 0.75
rotate y,225
translate 0,0.12,0
weight 0.3
xform
rotate y,360/7
weight 0.8
xform
scale 0.3,-0.5,0.3
rotate z, -110
translate 0,0.2,0
weight 0.07

That is it.

Further Reading & Sources

Fractal Food – Fourmilab
Fractal Analysis & Characterization of Tropical Fruits  – Paper, University of Singapore

Who would expect that this is how an MRI-scan cutting through a banana looks like:
lzaMeXm - Fruits

and some more MRI’s of fruits – can you guess what is what?

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