the fib. seq. extensively. The arrangements of leaves, shoots, flowers, petals,
you name it, all show the fob. seq. Of course plants don't intend to follow this
sequence, they just grow in the most comfortable way , spreading out their
various appendages so they all get the materials they need, easily. Plants are
also excellent subjects if you want to study golden spirals.
pineapples, pinecones. what do they have in common other than the fact that
they're all plants? each one is formed of opposite sets of spirals . a pineapple
has 8 spirals going in the opposite direction. a pinecone? 5 and 8. A sunflower?
21 and 34. 8, 13, 21, 34. they are numbers in the fib seq!
seq. also forms a part of phyllotaxy. Phyllotaxy, by the way, is the pattern of
arrangements of leaves around the stalk. Many plants like daisies, succulents,
firs and pines show the fib. seq. in their leaf arrangement patterns.
thing occurs even in the arrangements of flowers. now take a look at the
3 petals -
5 petals -
8 petals -
13 petals -
21 petals -
34 peals -
you could actually give you math teacher a Fiboquet on teachersí day or the
first day of school!!
to have taken this Fibonacci thing to heart. there are species of daisies with
13, 21,34,55and 89 petals.
common daisies have 34 petals (sometimes they have 33 due to malnutrition and
The sneezewort is
one incredible plant. thatís why it has this little bit devoted to it. the
sneezewort has a strange growth pattern:
lengthens through time and then reproduces another exactly like itself, which
repeats the pattern of Fibonacci branching.
In scientific terms
it shows cumose inflorescence. (An inflorescence is a flower that is made up of
many flowers, i.e., a compound flower. another example of an inflorescence is a
The Fib. seq pops
up all through the Animal Kingdom. It shows up in the morphological features and
reproductive patterns of animals like rabbits, bees, ants and bees. Take a walk
and you'll soon come across a trail of ants (they're everywhere, the little
buggers!). If you look closely, you'll find that an ant's body is divided in the
Golden ratio! the Fib. Seq. plays around many different creatures. Take a dive
into the ocean(or visit your local aquarium) and what do you see? More
Fibonacci. The eyes, tail and fin of a dolphin are all associated with the Fib.
seq. An angelfish is also similar. When you start looking around, you will see
that the Seq. is almost always there, in some form or the other. to find out
more, start clicking around.
Finally, we come to
the interesting part: the Fib. seq, the Golden ratio and. ourselves.
Ok, where shall we
begin? First things first. Every cell in our body has the Fib. Seq. entwined in
it, i.e., the fib. seq. can be found within our DNA.
(Deoxyribonucleic acid) molecule has a double helical structure. It is 34
angstroms long and 21 angstroms wide. 21? 34? Do those numbers ring a bell? Oh,
what did you know, they are successive numbers in the Fib. Ser.!
Now look at your
hands. Look carefully at those pretty fingers of yours. The lengths of the
divisions of your fingers, i.e., fingertip to 1st ridge, 1st ridge to knuckle,
etc, follow the Golden ratio.
Also, you have 2
hands which bear 5 fingers, 8 of which (exclude thumbs) are divided into 3
sections. 2, 5, 8, 3? Yes! More Fibonacci!
And guess what? The
size of your hand is proportional to the size of your hand in the golden ratio.
And, wait there's more! The distance from your eyes to the bottom of your chin
is divide by your eyebrows, nose and mouth fit in the golden ratio. Phew! But
why stop wait the face and hands? The fib. sec. manifests itself on your entire
And finally, did you know that what we generally perceive as beauty is actually
the fib. seq? The closer you body is to the G.ratio, the more beautiful you will
seem to other people. The same applies to your face. No wonder the great
sculptors of the ancient Greek and Roman eras used the Golden ratio when