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. 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.
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.
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.
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. 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. 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.
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.
Roger Logan, for his insight that pi and phi squared are
composite numbers sharing a common irrational factor, summarized here on the
Pi, Phi & Fibonaccis page from his web
site on The Magnificent
Perfect Square.
Steve Lautizar for submitting Sam Kutler's geometric
construction of phi using concentric circles, illustrated here on the
Geometry page.
Erol Karazincir ()
for his original insight and contribution of a
new formula for phi based entirely on 5's, in that Φ = (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 numberic 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.
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