Alan Bennett, for his original insights into the
relationship of phi in the solar system, summarized here on the
Solar System page from his web site
Solar Geometry.
Robert Bartlett, for his original insights into the relationship
of phi in the solar system, summarized here on the
Solar System page from his web site page on
PhiSolCube, and his
insights into the appearance of phi in the Bible in the Ark of the Covenant
and the number 666, summarized here on the Bible
page. Also, for his insights into the resemblance of the heart's EKG
to a graph of Fibonacci convergence, as shown on
Heartbeat page and his website.
William Erman, for his original insights into the
application of the golden section to technical stock market analysis,
summarized here on the Stock Markets page from his
site Ermanometry, and his
observation on pi squared in relation to Fibonacci number 987 on the
Pi, Phi & Fibonaccis page.
Dr. Stephen Marquardt, for his original insights into the
application of phi in the human beauty analysis mask, summarized here on the
Human Beauty page from his web site
Marquardt Beauty Analysis.
Dr. Alexey Stakhov, for his common vision of increasing
knowledge, understanding and education of phi as a general foundation to all
fields of arts and sciences, as shown in his site "The
Museum of Harmony and Golden Section." See also his essay
presented by the
Rethinker's Movement
entitled "Mathematical
Connections in Nature, Science and Art."
Dr. Eddy Levin, for his original insights into the
application of the golden section to dental aesthetics, as well as his
creation of The Golden Mean
Gauge, a wonderful tool for seeing phi in everything around.
Steve McIntosh, for his original insights into the
spiritual/theological implications of phi and the relationship of the
Trinity to the golden section, as described on the
Theology page. See his perspectives on
Integral World Government
as well as his unique product offerings at
Now&Zen.
Dr. Ron Knott, for his extensive research and probably
the most exhaustive Fibonacci site on the Internet,
Fibonacci Numbers and the Golden Section, a great source of insight and
learning for anyone interested in this topic.
Dr. Yosh Jefferson, for his insights and contributions
into the role of facial proportions in health, summarized here on the
Facial Proportions and Human Health page from his
article published in the June 1996 issue of the Journal of General
Orthodontics, and also presented on his web site
FacialBeauty.
Ed Oberg and Jay A. Johnson, for their original insights
into the pi-phi product, summarized here on the
Pi, Phi & Fibonaccis page from their
paper The Pi-Phi Product.
Michael Semprevivo, whose research into a broad range of
topics related to phi includes original insights into the
application of phi relationships in the spectrum of colors in visible light.
His PhiBar program, an interactive application in Visual Basic, illustrates
this principle and is summarized and included here on the Color
page.
Norman S. Rose, Ph.D., for his original insights into the
application of Fibonacci numbers to the human development process,
summarized here on the Development page from his
site WhizKidz.
Valrie Jensen, for her insights into orthogons,
summarized here on the Orthogons page from her
web site
Timeless by
Design.
Steve Lautizar for submitting Sam Kutler's geometric
construction of phi using concentric circles, illustrated here on the
Geometric Construction of Phi in Crcles page.
Erol Karazincir ()
for his original insight and contribution of a
new formula for phi based entirely on 5's, in that Phi = (5+√5) / (5-√5), illustrated here on the
Five and Phi page.
W. Nathan Saunders for his added insights on the four 5's
in that (5+√5) x (5-√5) = 5 + 5 + 5 + 5 and also
that the symbol for phi, or 0.618, in lower case, is available in Symbol
font by typing Alt-618! (i.e., hold the
Alt key and enter 618 on the numeric pad).
J.D. Ahmanson for being the first to bring the 2003
discovery of the Phi-based shape of the Universe
to my attention and for his original insight into the phi relationship of
the colors of the Tabernacle described in the
Bible.
Rick Toews for his original discovery and contribution
that the reciprocal of 109 is based on powers of
the Fibonacci series, similar to the properties of the reciprocal of 89.
Stephanie Miller, for her original insight that
body temperatures fall at about the phi point
between the freezing and boiling temperatures of water.
Albert Poch Huguet, for his original insight
on the maximum density of water at 4° C as it relates
to the phi points of body temperatures.
David W. Thomson, for his original insights that the gfactors of electrons
and protons may be determined by sine functions involving phi, thus
indicating that phi may be a constant produced by time. This is
summarized on the Time and Quantum Physics page and
presented in detail on his
Quantum Physical
Model site.
Sheila Yurick, for her insight on the Fibonacci relationships that appear in
the dominant 5th of the major scale, as described on the
Music page.
Melih Yazici, for the insight on the phi proportions that appear in B-DNA,
as described on the DNA page.
Helga Hertsig, for being the first to bring
Jain's
discovery of the pattern of 24 infinitely
repeating digits in the Fibonacci series.
Ian Watson, for his insight into the curious riddle on when
+V = 5, on the
Phi Phonetics page.
Eric Manning, for being the first to bring the phi relationships in
Bucky Balls to my attention and for submitting
an AutoCAD BuckyBall file.
Tassos Spiliotopoulos, for his insights into the pronunciation of phi, on
the Phee, Phi, Pho, Phum page.
Jody Espina, for his contributions to the application of phi in musical
instruments as highlighted on the Acoustics
page.
Ben Moon, for his contribution of an original phi-inspired poem, "Golden"
on the Poetry page.
John Sarber, for his contribution of an original phi-inspired poem, "Aurea
Mediocritas" on the Poetry page.
Katherine Field, for her photos of the golden spiral inspired
Quincy Park in Cambridge, MA.
John Owen, for the example of phi in architecture found in the
CN Tower.
Tawfik Mohammed, for his observation on the relationship of lucky 7 and
unlucky 13 in the Fibonacci Series.
Hans J. Dettmer, for his contribution of a new geometric construction of phi
found by using an equilateral triangle and circle, on the
Geometric constructions of Phi in Circles page.
(2005-09-25)
Phi Corbett, for his contribution of the Phi
Mandala.
Scott Beach, for his contribution of the
Phi Formula Geometric Construction.
Jim T. Henriksen, for his contribution of poetry illustrating the Fibonacci
style poetry.
Bengt Erik Erlandsen, for his contribution of a
newly discovered three circle geometric construction on the
Circles page that reflects the standard
mathematical expression of Phi, also shown on the
Phi Formula Geometry page. (2006-01-11)
Jordan Malachi Dant, for his contribution of a new way to
compute Fibonacci numbers using Phi from a simple
formula. (2005-04-10)
Mark Gabriel, for his insight that "room" temperatures that humans find
comfortable represent a phi relationship to body
temperatures.
Joseph Turbeville, for his contribution of the
repeating pattern of 24 distilled digits that appears in the Fibonacci
series, as presented in his book "A Glimmer of Light From the Eye of a
Giant" and on his site
Eye of a Giant.
Alex Williams, MD, for his insight and contribution of the application
of the Phi and Fives relationship to create an
expression for Pi.
Marty Stange, PE, for his insight and contribution on the
Fibonacci right triangles that are based
on any four successive numbers in the Fibonacci Series.
Remi Schulz for his insight and contribution that the numerological
value of my first and last name (51 and 83) represents the angle of the
Golden Triangle of sacred geometry (51.83 degrees), thought to be angle used
in the construction of the Great Pyramid of Cheops. (Never would have
thought of that one on my own!)
Dale Lohr for contribution of a simple relationship between
pi and phi
using the arccos function.
Sir Hemlock for contribution of the application of Fibonacci and golden
ratios to the Altar in Exodus 27.
Moein Danesh for bringing to my attention the application of the golden
section in the design of the Taj Mahal.
Patrick "Paddy" Brown for bringing videos on phi to my attention, as
listed on the Phi Multimedia Links page.
Robert Everest for his contribution of a relationship that expresses
Phi as a function of Pi and Fibonacci numbers.
Alireza Shafaei for his contribution of a Phi
Calculator that computes phi to a user defined level of accuracy,
1,000,000 or more, along with source code in C++.
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