Transcript Phi, Fibonacci, and 666

Phi, Fibonacci, and 666
Jay Dolan
Derivation of Phi 1.618
(1+√n½) / 2
N=5
The point at which the ellipse
(y=x^2) and the line (y=x) intersect
has an x value of approximately
1.618.
The proportion of each line
segment to any other line segment
is 1.618.
“A is to B as B is to C, where
A is 161.8% of B and B is
161.8% of C, and
B is 61.8% of A and C is 61.8%
of B”
Phi in Nature
Each segment of the human finger can be
divided to find the Golden Ratio
More examples
The front two incisor teeth
form a golden rectangle,
with a phi ratio in the
height to the width.
The ratio of the width of
the first tooth to the second
tooth from the center is
phi. The ratio of the width
of the smile to the third
tooth from is phi.
Spirals of a sunflower’s
seeds become increasingly
larger by the number Phi.
The sections of an
ant’s body are laid
out true to the
Divine Ratio
Phi in Art
Leonardo’s “The Last
Supper” follows the
proportion as well
One of the most anatomically
correct drawings, the Vitruvian
Man holds true to the proportion
Phi
Phi in Architecture
Ancient Egyptian Pyramids
Greek Parthenon, Athens
Architects have designed
buildings that are true to
the ratio for thousands of
years
Notre Dame Cathedral, Paris
United Nations Building, New York
The Fibonacci Sequence
Leonardo Pisano Fibonacci
discovered it in about 1202 A.D.
He lived from 1170-1250
He first used the sequence to
calculate the growth of a Rabbit
population.
The sequence is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 35, 56…
Each number is found by adding up
the two previous numbers.
The Fibonacci sequence is found in
nature and is still used to predict
growth patterns.
The sequence in Nature: Flower Petals
1
2
3
5
8
13
21
34
Fibonacci in the Real World
“A group of rabbits mate at the age of one
month and at the end of its second month a
female can produce another pair of rabbits.
Suppose that the rabbits never die and that
each female always produces one new pair,
with one male and one female, every month
from the second month on. How many pairs
will there be in one year?”
The branches of a plant form according to the
Fibonacci Series
A little clearer…
More real world uses
Predicting populations
Area
Census
Rank
Actual
Population
Predicted Population
Method 1
Method 2
New York, NE NJ
1
16,206,841
LA Long Beach CA
2
8,351,266
10,016,379
10,016,379
Chicago NW IN
3
6,714,578
6,190,462
5,161,366
Detroit, MI
5
3,970,584
3,825,916
4,149,837
Washington DC
8
2,481,459
2,364,546
2,453,956
Houston, TX
13
1,677,863
1,461,370
1,533,626
Cincinnati, OH
21
1,110,514
903,176
1,036,976
Dayton, OH
34
685,942
558,194
686,335
Richmond, VA
55
416,563
344,983
423,935
Las Vegas, NV
89
236,681
213,211
257,450
New London, CT
144
139,121
131,772
146,277
Great Falls, MT
233
70,905
81,439
85,982
666
Originated in the pagan beliefs of the Babylonians.
666 was the number of the Supreme Sun God
The number was derived by adding up the numbers of
each of the 36 other Gods.
Christianity is a monotheistic religion. In order to help
convert followers of the Babylonian tradition, the Trinity
(Holy Father, Holy Son, and Holy Ghost) was created.
The book of Revelation condemns the number as the
“mark of the beast.” This came later in an effort to rid the
Church of Babylonian practices.
What does the Bible say about it?
“Here is wisdom. He who has understanding, let him
calculate the number of the beast, for it is the number
of a man. His number is six hundred sixty-six.”
-Revelations chapter 13, Verse 18
Conclusion:
Brown uses these numbers accurately
However, he may be overstating Phi’s actual importance.
Lucas numbers exist too. (start with 1 and 3)
675 diamond shaped panes and 118 triangular panes.
NOT 666!
Brown’s Phi is PHI.
Brown is leading us on for his more controversial topics.
He’s trying to give himself credibility. But we are smarter
than Brown.
Bibliography
http://www.vashti.net/mceinc/golden.htm
http://www.summum.us/philosophy/phi.shtml
http://goldennumber.net/classic/history.htm
http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Fibonacci.html
http://obelix.dnsalias.net/DVDCovers/omen.jpg
http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html#Rabbits