## Friday, July 20, 2007

### Jenea's Fruity Paragraph About Fibonacci Numbers

In this paragraph, I'll be talking about how Fibonacci Numbers relate in nature and reality. There are very many similarities between Fibonacci numbers and different types of living plants, fruits and animals. Mathematicians are very inspired by the Fibonacci quadratic formulas, especially the Golden Ratio.

This is a real life picture example of a fruity fruit called a pineapple. As you can see the pineapple has proportions.The number of turns in the spiral (from leaf to leaf) and the number of leaves that exist in the pattern in all cases express a Fibonacci fraction and therefore a Fibonacci ratio. The same pattern repeats over and over as the plant grows up. In the case of close-packed leaves in cabbages and succulents the correct arrangement may be crucial for availability of space. So nature isn't trying to use the Fibonacci numbers: they are appearing as a by-product of a deeper physical process. That is why the spirals are imperfect. The plant is responding to physical constraints, not to a mathematical rule.

This is a real life picture example of a flower, it forms a Fibonacci Sprial.