An example of a Fibonacci sequence making spiral patterns in nature. This is also a fractal because each floret is an identical but smaller version of the whole thing & this makes the spirals easy to see.

Rose by Günter Hickstein

The way the flower petals are unraveling give off the sensation of the flower being twisted around in a circle to the point of it being unraveled.


Nautilus Shell This factor varies from to & may be due to the shell not being cut exactly along a central plane to produce a cross-section.


Golden Mean or Fibonacci series. The number of clockwise and counterclockwise spirals in a sunflower are always two consecutive Fibonacci numbers.

Pine Cone

~~ pine cone with 13 spirals to the right & 8 to the left, a progression of Fibonacci numbers & the Golden Spiral