Intelligent
Design
Fibonnaci
Sequence
Leonardo
Fibonacci (1175 AD), a great mathematician of the Middle Ages
discovered the Fibonacci sequence by studying nature. He studied the
growth of rabbit populations and the growth of leaves and petals and
discovered a welldefined mathematical sequence in all of this.
This is
the Fibonacci sequence:
1, 1,
2, 3, 5, 8, 13, 21, 34, 55, 89, 144 …………etc.
Each
number in the sequence is the sum of the two preceding numbers starting
with the root number 1.
1+1=2,
1+2=3, 2+3=5, 3+5=8, 5+8=13, ……...
The
Fibonacci sequence progresses towards the Golden Mean if we
divide two successive numbers in the sequence.
1/1
= 1
2/1 = 2.0
3/2 = 1.5
5/3 = 1.667
8/5 = 1.60
.
144/89 = 1.618
The
Fibonacci sequence propagates towards Phi (Ø) but never reaches
it since it is an irrational or transcendent number.
Fibonacci spirals
and Golden Mean ratios appear everywhere in the universe. The
spiral is the natural flow form of water when it is going down the drain.
It is also the natural flow form of air in tornados and hurricanes.
Here’s another beautiful example of a Fibonacci spiral in nature, it’s
the Nautilus shell and every book about sacred geometry contains one:
Nautilus
shell
The
Golden Mean ratio is all over the human body, in the ratios between
the bones, the length of your arms and legs. The Golden Mean is also the
ratio in the distance from the navel to your toe and the distance from
your navel to the top of your head. Michelangelo has beautifully hidden
these Golden Mean ratios in his fresco on the ceiling of the Sistine
Chapel in Rome:
Michelangelo
and the Phi ratios in the human hand
(Courtesy of Dan Winter, www.soulinvitation.com)
Vitruvian
Man
Now
here’s an interesting drawing from Leonardo Da Vinci. What he is showing
in this sketch is that the human body ‘squares the circle’. When man
stretches his arms and holds them horizontally, man’s body will
perfectly fit into the square. On the other hand, when he spreads his legs
and raises his arms as in the sketch, man’s body can be perfectly
circumscribed by a circle. The circumference of the square ‘equals’
that of the circle.
A lot
has been written about this sketch alone, it contains a whole lot of
hidden sacred geometry. We will not go into all the details here, but I
want to show you some very amazing things. Ancient wisdom, the Hermetic
tradition tells us that the human body can be regarded as a blueprint for
the universe by means of all the ratios that are found within the body.
This may indeed be true. Let’s have a look at the following picture:
This is
the same picture as above, in the picture there are now two red circles
added. The biggest red circle fits perfectly and is inscribed by the
square. The smaller red circle’s is centered between the outer circle
and the inner red circle and tangentially touches both.
Much to
our surprise, the upper red circle represents the moon and the lower red
circle represents the Earth! In mathematical terms: The ratio of the
diameter of the smaller red circle to the bigger red circle r / R equals
the ratio of the diameter of the moon to the diameter of the Earth! Now let’s prove it:
(3)
Radius
of the moon : r
Radius of the Earth : R
Side of the square is : 2R
The perimeter of the square is : 8 R
Radius of the outer circle is : r + R
The circumference of the outer circle is : 2 p ( r + R )
Now
‘squaring the circle’ makes the perimeter of the square equal to the
circle:
8 R = 2
p ( r + R )
8 R  2
p R = 2 p r
R (8
– 2 p) = 2 p r
r / R =
(8 – 2 p) / 2 p = (4 – p) / p
Earth
radius = 6,370,973 m
Moon radius = 1,738,000 m
Moon to Earth ratio = r / R = 0.27279977
r / R = (4 – p) / p = 0.273239544 (p = 3.14159265)
Quod
Erat Demonstrandum!
There
is another mysterious relation to be discovered in the sketch of the
Vitruvian man by Leonardo Da Vinci. The Great Pyramid at the Giza plateau
in Egypt called after the pharaoh that is supposedly buried there named
Khufu (Cheops in Greek), holds a perfect geometrical relation to the
squaring of the circle and the Vitruvian man as depicted by Leonardo Da
Vinci!
Look at
the picture below:
Great
Piramid at Giza in relation to Vitruvius man
The
triangle in the picture is the exact geometrical proportion of the Great
Pyramid at the Giza Plateau near Cairo, Egypt. The angles between the base
and the apex (top) of the pyramid are exactly 51 degrees and 51 seconds.
(51º 51º).
(4)
The Great Pyramid and in fact the complete layout of the Giza plateau
with all its pyramids, sacred temples and the sphinx contains a lot of
hidden sacred geometry .
The
point I want to make here is that the Egyptians were aware of the art of
sacred geometry and how it relates to the universe, as the Giza
plateau and in particular the Great Pyramid proves.
Souls of Distortion © 2006
