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At first sight the natural world appears random, agitated and chaotic.
But reality is...
there are schemes.
From the petals of a flower,
to the winding course of a river.
There is a geometry in the world surrounding around us.
and this is called fractal geometric !!!
The fractal is a structure that is repeats itself at different scales
so that looking at a part of the fractal
is also seen the set.
These geometric structures that give us information about the world?
Be careful ...
it is easy to stumble in the vegetation
... in this remote area of Colorado
the biologist Braian A. uses fractals to try to understand how
earth breathe ...
We are using fractal geometry to know and possibly predict the
total amount of carbon dioxide that enters and exits the ecosystem
practically as the earth breathes
Here it is believed that studying the geometry of individual plants can be
accurately measure how much carbon dioxide carbon dioxide is absorbed from the environment
if we had glasses that would allow see
carbon dioxide
photosynthesis will appear to us directly
as columns of smoke and waves cross the valley
co2 entering and coming out
the research group is looking a structure
a scaling relationship that each plant with leaf can have in common with
the environment in which they live
to identify the nature structures
which can be described mathematically
and this can be helpful because if there are structures then we can
use them to fully understand and maybe even predict the nature
nature may seem chaotic
but there is an invisible order revealed from mathematics
we look at the x-ray of an arm
shows us a numeric structure that expressed through the nature
a bone in the arm
connected to two bones in the forearm
that bind to 8 bones in the wrist
from here that the 5 bones of the hand
and 3 other bones for each finger
these numbers 1-2-3
5 and 8
are part of a mathematical set called the Fibonacci sequence
is a series of numbers in which each one is the sum of two numbers preceding it
if we bring these numbers on a graphic
result in a spiral
where the arc-curve corresponds to structure of a pine cone
is the same trend that we see in shell of the Nautilus Pompilius
and this is important
the search for a model of operation is the purpose
of scientific investigation
scientists look for patterns in nature and even the biologists like me seek
models once they identify one means that you can
potentially predict something in the world
But there's more if you take a number of the Fibonacci sequence and
divide it by the previous
you get a number close to 1,618
is a ratio commonly called golden section
Now we look again at the arm x-ray
the difference in length between the forearm and the hand is equal to
golden ratio
and the same is true for the three bones of the finger
and even in our dna
the length of a single turn of the helix divided by the amplitude of the molecule
approaches this magic proportion
the Fibonacci sequence, and proportion that derives
are examples of fractals
and how the structure of the veining of a leaf
reflects that of the branches of the tree
a fractal has the same structure that is repeats at different scales
the fractal implies
the self-similarity & self-similarity as a face
a structure of this type can be repeated several times and then studied
using different scales of observation
nature is built & based on this geometry
because the fractals allow it to create large structures
so incredibly effective
so that nature can be contain 96,000 kilometers of veins
arteries in the human body
and similarly enters 1.8 meters of DNA bands in a small
cell nucleus
if one uses the DNA of a human body
and then stretches
would come to overcome the distance pluton 6.4 billion kilometers