2. Φ
The Omnipresent

3. A Tour of the PHI-NEST Phi–nomenon : A Brief Introduction
Take a Look Around :Phi is Everywhere
by Bivas Das
Can’t Live Without :Phi in Mathematics
by Ishan Chakraborty
About Human Creativity :Phi in Art and Architecture
by Sourish Sengupta
Time to Know Ourselves :Phi in Life
by Amritam Sarcar
Conclusion : The Omnipresent

4. Φ Is Everywhere
Φ in Energy
Φ in Solar System
Φ In Universe

5. Φ In Energy
Unusual signals at Phi Hertz are being received on Earth

6. Φ In Solar System Saturn's rings are divided at two phi points
                                                                                                                                     
The Cassini division in the rings of Saturn falls at the Golden
Section of the width of the ring.

7. Φ In Solar System Venus and Earth reveal a phi relationship
The shape of the Universe itself is a dodecahedron based on Phi

8. Φ In Universe New findings in 2003 reveal that the
shape of the Universe is a
Dodecahedron based on Phi
The connection to Phi is found in
the Pentagons that form the faces of
the Dodecahedron

9. In the rabbit hole…

10. Φ In Mathematics Derivation of Φ Fibonacci Series The Golden Mean
The Numbers 5, 89 and 109
Phi’s Additive relationship
Relations between Powers of Φ
Φ in Geometry

11. Φ In Mathematics
The Derivation of Φ
Φ2 - Φ1 – Φ0 = 0 or
Φ2 = Φ + 1

12. Φ In Mathematics Fibonacci Series & Φ Or The Formulae fn = Φ n / 5½
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
The Formulae
fn =  Φ n / 5½ Or
fn =  Φ n / (Φ + 2)

13. Φ In Mathematics The Golden Mean Arithmetic mean : c = ( a + b ) / 2
Geometric Mean : c = ( a x b ) / 2
The Golden Mean
a : b = b : c
and a = b + c

14. Behavior of few Numbers
Φ In Mathematics
Behavior of few Numbers
Φ = 5 (.5) *
Φ = e asinh(.5)
fn =  Φ n / 5½
1/89 = …
1/109 = …

15. Phi’s Additive Relationship
Φ In Mathematics
Phi’s Additive Relationship
Φ n+2 = Φ n+1 + Φ n
Powers of Φ
For any even integer n:
Φ n / Φ n = a whole number
For any odd integer n:
Φ n / Φ n = a whole number

16. Φ In Mathematics Phi in Geometry Circum-circle Square in a Semi Circle
Pentagon in a Circle

17. Φ In Mathematics
Phi In Bulky Balls

18. Φ In Mathematics Spiral and Phi
f(n)2 = f(n) * f(n+1)

19. Φ In Art & Architecture Φ in Art Φ in Architecture Φ in Colors
Φ in Music
Φ in Poetry

20. Φ In Art & Architecture
Phi In Art
Φ = B/A or B/(B+C)

21. Φ In Art & Architecture Phi In Art Da Vinci's "The Last Supper"
Salvador Dali’s "The Sacrament of the Last Supper"

22. Φ in Greek Architecture
Φ In Art & Architecture
Φ in Architecture
Φ in Pyramid
Φ in Notre Dame - Paris
Φ in Greek Architecture

23. United Nations building
Φ In Art & Architecture
Φ in Architecture
United Nations building
CN Towers - Toronto

24. PhiBar By Michael Semprevivo
Φ In Art & Architecture
Φ in Colors
PhiBar By Michael Semprevivo

25. Φ in Musical instruments
Φ In Art & Architecture
Φ in Music
Φ in Musical instruments

26. Φ In Art & Architecture Φ in Music Fibonacci Ratio
Calculated Frequency
Tempered Frequency
Note in Scale
Musical Relationship
1/1
440
440.00 A
Root
2/3
293.33
293.66 D
Fourth
3/5
264
261.63 C
Minor Third
5/8
275
277.18 C#
Third

27. Φ In Art & Architecture One one two, three five eight
Sounds so simple, nothing great
Thirteen, twenty-one, thirty-four
The hinges creak on an opening door
A repeating patter of the masters hand
Signing his work, the universal plan
Learn to look, the pattern's plain to see
In the smile you flash, the dance of the honeybee
In the spirals of the pine cone and little acorn cap
In spiral arm galaxies and the ocean's wave whitecap
In the swirl of the seashell, the air vortex of a wing
The hurricane's eye and a thousand unseen things
Welcome to the mystery of the Greek letter phi
The measurement of beauty to the human eye
The golden ratio, one point six one eight
One, One, Two; Three, Five Eight
-Benjamin Moon
1.618 ad infinitum!
Never repeating, always intriguing
Fibonacci born; phi!
Golden Section behold!
Creation sequence, nature's frequence
Mathematical phenomena; phi!
Heaven's divine proportion!
Ancient mystery, living history
Infinite and eternal; phi!
-John Sarber

28. Φ In Life Φ in Human Hand Φ in Human Face Φ in Human Teeth
Φ In Human Body
Φ In Human Beauty
Φ In Human Heart Beat
Φ in Animals
Φ in Plants
Φ in Population and Growth

29. Φ In Human Hand Your finger shows Fibonacci Series
The ratio of your forearm to hand is Phi

30. Φ In Human Face Phi defines the dimensions of the human profile
The human face is based entirely on Phi
Human head is based on Phi

31. Φ In Human Teeth
Phi is found in the dimensions of the teeth, mouth, lips
and even your smile.
Dr. Levin’s Phi Dental Grid Software
Golden Mean Gauge

32. Φ In Human Body The Divine Proportion in the Body
The human body is based on Phi and 5
5 appendages on each of the fingers and toes
5 openings on the face.
5 senses in sight, sound, touch, taste and smell.

33. Φ In Human Beauty Asian 1350 B.C. Egypt Black 500 B.C. Greece
Marquardt Beauty Analysis
Caucasian A.D. Rome
                                                                     
                                    

34. Φ In Human Heart Beat
A peaceful heartbeat is said by some to beat in a Phi rhythm …
EKG's show a resemblance to the
Fibonacci Convergence

35. Φ In Animals
Divine Proportion in nature

36. Φ In Animals
Examples of the Divine Proportion and Golden Section can be
found in fish, birds, mammal and insects.

37. Φ In Plants Fibonacci numbers in plant spirals and branching
Plants illustrate the Fibonacci series in arrangements of petals,
leaves, sections and seeds.
Plants such as pinecones, pineapples and sunflowers
illustrate Fibonacci numbers. 

38. Φ In Population & Growth
The Fibonacci series was discovered by
studying population growth 
How many pairs will there be in one year?
Pair A of rabbits gives birth to pairs B, C, D and E.  Each of these in turn
gives birth to pairs B1, B2, B3, C1, and C2, and this continues, etc. 
Month
Rabbits from A:
from B:
from C: D:
B1:
Total A 1 2 B 3 C 4 D B1 5 E B2 C1 8 6 F B3 C2 D1
B11 13
etc. 7 9 10 11 12

39. Φ is Omnipresent Conclusion
"All science is physiology.  All physiology is chemistry. 
All chemistry is physics.  All physics is math.
All math is life. All life is phi. "
- Dr. Stephen Marquardt
Φ is Omnipresent