Chip Bradley

March 14, 2021

Here we see details of how and why two [not one] whorled patterns
develop to determine seed locations within the head of a sunflower. To
more clearly understand this, you will see a *counter-clockwise* pattern
in the UPPER whorl developing from a spiral #1, then #2, then #3, #4 and
then #5. To more easily see the seed locations, you can see dots in the
next 4 rows after the #5 "seed row" -- leading to a solid #10 spiral
path designation. Likewise, we continue with four more dotted seed
location paths. Continuing in similar fashion, we come to solid path
#15, then #20, then #25, then #30, Between each of these solid paths, we
find dotted seed paths. Finally, after 3 more dotted seed paths, we come
to the last spiral #34.

Moving to the LOWER spiral pattern, we see it at first appears to be the
same. But it is not. This series of spirals naturally runs clockwise to
the upper set. It also will amazingly always have 21 spirals -- which
happens to be the sum of the previous two Fibonacci numbers, 8 and 13.

Since the last spiral in both the upper and lower heads is in the 34th
and 21st position respectively, and since EACH is a Fibonacci number
(next to one another in the consecutive series), we see where they
occur.

0 + 1 = 1
1 + 1 = 2
2 + 1 = 3
3 + 2 = 5
5 + 3 = 8
8 + 5 = 13
13 + 8 = 21
21 + 13 = 34

Finally. I thought it would be fitting to emphasise the all important
a / b = phi ratio occuring here. Between the two whorled patterns (which
have been separated for clarity) I have written the equation 34 / 21 =
(approximately) phi or, in this case, 1.619047619047619...