The sequence of Fibonacci numbers begins as
F0
|
F1
|
F2 |
F3
|
F4
|
F5
|
F6
|
F7
|
F8
|
F9
|
F10 ...
|
1
|
1
|
2
|
3
|
5
|
8
|
13
|
21
|
34
|
55
|
89 ...
|
They are generated from the recursion Fn
=Fn-1 + Fn-2 .
Supposedly they play a role in natural growth patterns occuring in pine
cones, snails, sun flowers, etc. Taking a sample of only one sunflower I was
surprised to actually find F8 and F
9 occuring in the "pattern". This pattern consists of cuved "arms"
, spiraling out of the center of the flower. We see arms curved to the right
(right arms) and left arms. At the boundary of the photo the number of arms
has stabilized, no new arms are added. Click
here
to see an enlargement where the arms are numbered. There is a yellow dot
on each right arm, and a brown dot on every left arm.
More examples at the Phi-Nest
.
So what shall we do with this pine cone?
