I'd say shells came first. According to Wikipedia: The Fibonacci
sequence is named after Leonardo of Pisa, who was known as Fibonacci.
Fibonacci's 1202 book Liber Abaci introduced the sequence to Western
It sounds familiar, but, since you brought it up, How are shells related
to the Fibonacci sequence? It surprises me that all shells would have
this commonality. I would have expected the kind of variance that you
see in the growth rings of trees.
Answering my own question (by copying from Wikipedia):
It is sometimes stated that nautilus shells get wider in the pattern of
a golden spiral, and hence are related to both φ and the Fibonacci
series. In truth, nautilus shells (and many mollusc shells) exhibit
logarithmic spiral growth, but at an angle distinctly different from
that of the golden spiral.
Um, y'all have this slightly backward.
It isn't that nature knows advanced math. It is that advanced math
is what it takes for humans to describe nature. Fibonacci didn't
define a sequence just to amuse college freshmen. He did it to
make sense of the way that plants tend to be formed -- one stem,
two leaf groupings, three leaf groupings, five petals, eight petals,
Maybe there's a Great Mathematician drawing on the chalkboard.
Maybe there's mathematical structure making us imagine a chalkboard.
Ether way, it is pretty amazing how things tend to fit/work together.
Drew Lawson | Pass the tea and sympathy
| for he good old days are dead
What's a hoot is to watch a cat confront his first cicada. The cat will
worry it for a while, then the bug will go opossum.
Almost always, the cat will pick up the insect to carry it god-knows-where
for further processing.
The cicada will begin to buzz.
Cat invariable leans back and spits the bug twenty-five feet!
No way ... the dog has canine epilepsy, which makes him susceptible to
having seizures. He takes Phenobarbitol twice daily to control them
and is on a very specialized diet as recommended by his vet. You can
second guess the vet's advice all day long, but I'm not changing a thing
on this end.
My dog, on the other hand, has been running around for days, eating them
like popcorn. YUCK !!!!
Yup. My dog didn't hardly touch her dog food for a month when they were
-- Jim in NC
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