a plant puts out a new shoot, that shoot has to grow two months before it is strong enough to support branching. If it branches every month after that at the growing point, we get the picture shown here
**http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html#plants**
A plant that grows very much like this is the "sneezewort": **Achillea ptarmica.**
**The most irrational number ** ******= ** ** Divina proportio**
there is a precise sense in which some irrational numbers are more irrational than others.
This phenomenon has had important consequences in the organization of the natural world. In packing seeds around a core, many plants choose the strategy of placing each one at the **most irrational angle** .
**Rotation through the ****most irrational** **angle**** leads to ****seed packing patterns****
**
with numbers of left- and right-diagonal rows given by** c****onsectutive Fibonacci numbers** __http://plus.maths.org/issue3/fibonacci/__ Nature **uses spirals** **** to prevent overcrowding |