Download PDF

yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Historia Plantarum (Theophrastus) wikipedia, lookup

Photosynthesis wikipedia, lookup

Venus flytrap wikipedia, lookup

Sustainable landscaping wikipedia, lookup

Plant physiology wikipedia, lookup

Plant stress measurement wikipedia, lookup

History of botany wikipedia, lookup

Meristem wikipedia, lookup

Plant morphology wikipedia, lookup

Leaf wikipedia, lookup

Plant evolutionary developmental biology wikipedia, lookup

Glossary of plant morphology wikipedia, lookup

Fibonacci fraction∗
2013-03-22 1:00:40
where Fi is the
A Fibonacci fraction is a rational number of the form FFm
ith number of the Fibonacci sequence and n and m are integers in the relation
n < m. In the Fibonacci fractional series, each m = n + 2:
1 1 2 3 5 8 13 21 34
, , , , , , , , ,...
2 3 5 8 13 21 34 55 89
The most important application of Fibonacci fractions is in botany: plants
arrange the leaves on their stems (phyllotaxy) in many different ways, but “only
those conforming to a Fibonacci fraction allow for efficient packing of leaf primordia on the meristem surface.” There is also an application in optics.
[1] P. A. David “Leaf Position in Ailanthus Altissima in Relation to the Fibonacci Series” American Journal of Botany 26 2 (1939): 67
[2] R. W Pearcy & W Yang “The functional morphology of light capture and
carbon gain in the Redwood forest understorey plant Adenocaulon bicolor
Hook” Functional Ecology 12 4 (1998): 551
[3] H. C. Rosu, J. P. Trevino, H. Cabrera & J. S. Murguia, “Self-image effects
for diffraction and dispersion” Electromagnetic Phenomena 6 2 (2006): 204
- 211
∗ hFibonacciFractioni
created: h2013-03-2i by: hPrimeFani version: h40584i Privacy
setting: h1i hDefinitioni h11B39i
† This text is available under the Creative Commons Attribution/Share-Alike License 3.0.
You can reuse this document or portions thereof only if you do so under terms that are
compatible with the CC-BY-SA license.