A Glimmer of Light from the Eye of a Giant
Professor Joseph
Turbeville, in his book, "A Glimmer of Light from the Eye of a Giant", provides the reader with an excursion into the
possible meaning of ancient reckoning numbers and their relationship with
the numbers in nature. Turbeville offers numerous tables based upon the
"famous Fibonacci series that appears in many natural growth processes" and,
others based upon "numerical reduction of multidigit numbers to single digits". He utilizes "distilled Fibonacci numbers
and multiples" presented in tables of rows and columns of digits that
produce numbers and fractals that are suggestive of ancient, historically
significant Turbeville is
surprised at the "symmetry, both numerical and graphical", that the tables
generate. He then proceeds to relate his findings to specific events in
history, such as the possible relationship of these tables to the
measurements found in ancient structures, such as that of the Great Pyramid
of the Giza Plateau. There are many different number series that the author
cites, but special attention may is given to the intriguing 1-8-9 count, found in the baseline measurement of the Great Pyramid (756 ft = 4 x 189). And,
the author then relates such measurements to the possible use of pi as
expressed as a reciprocal of seven (3.142857). Another number series count
that receive great emphasis concerns the 216c (216, 432, 864, etc.).
The cited number series and counts are thus related to events in nature, such as relationships to the circumference of the
Earth, among other phenomena. The suggestion is that the theoretical tables
of numbers possibly reveal sources of data for the construction of ancient
monuments, such as the Great Pyramid. The author questions the fact whether
the ancients may have devised similar tables for the construction of their
works. Undoubtedly, Turbeville contributes to the interpretation that the
ancient reckoning system and the measurements of ancient, monumental
constructions were based upon serious and
profound theoretical thinking.
Anyone who first views
the Great Pyramid might superficially conclude that it is the result of the
rudimentary practice of piling stone upon stone. But,
as one penetrates the interior of the ancient pyramids of Egypt (and those
of other parts of the world), the fact becomes obvious that their
construction is based upon theoretical engineering knowledge, that in most
cases still surpasses today's thinking. The corbelled ceilings within the ancient pyramids, defy explanation, even in contemporary
engineering thought, not so much in terms of how they work and function, but
how someone could have built them without modern-day machinery. From there,
it is not difficult to understand the relationships drawn between the
mirror-image numbers of Turbeville's tables and the mirrored patterns within
ancient artwork on all levels and in different fields of endeavor. From the
repeat, mirrored patterns of tapestries to those of the pyramids, one can
visualize a mathematical basis to the geometric patterns. The Turbeville Tables contribute to just such a
visualization.
The author, in this
manner, draws numerous relationships among theoretical mathematics and
geometry, the encoded measurements of ancient artwork, and the number and
fractal series existing in nature. On the whole, our societies of today are recognizably more distant and withdrawn from any
day-to-day contact with nature. Understandably, our ancestors were more directly related to the secrets of
nature. The very fact that their apparent philosophical thought and
symbolism, their monumental structures, their vision in art seems to attest
to a closer relationship to nature, would only suggest a theoretical and
conceptual basis linked to the math and geometry of nature itself. Yet,
many scholars today resist in accepting the obvious, and limit their
perception by visualizing an ancient world handicapped by ignorance.
Many scholars contemplate the Great Pyramid
and see no great work, but only the piling of stone upon stone, in a most
empirical, brick-layer's fashion. They perceive
no theoretical, conceptual design. They see, as it were, only a pile of
rubble. And, they are of no mind to concede
greatness to the ancients. When one reads the writings of scholars who deny
the obvious accomplishments of the ancients, immediately one wonders how
these scholars might think we got where we are from that ignorant past.
They enjoy viewing our contemporary societies as the epitome of all things
past, yet all things past are looked down upon,
frowned upon.
Turbeville's quite vision through
numbers and fractals greatly reinforces the obvious: that the ancients knew
much more than meets the eye. The Great Pyramid is not great because of the
technical feat of having piled stone upon stone. But,
rather, its greatness lies in the perceived theoretical basis for its very
conception, and obviously, execution. The greatness flows from the fact that
numbers are perceived as mirror images, and that the simple sums of distilled numbers lead to unsuspecting posits.
All numbers are related, just as one relates to two, and two relates to three,
and so on infinitely so. Therefore, to find relationships one might
consider to be no great accomplishment. But, that would be the initial impression when
considering the nature of numbers. But, to find
specific number and fractal series as in the Fibonacci series in the light
of fractal numbers, and historically significant numbers (another expression
for fractal numbers), in some of the great works of the ancients, can only
spur the reader onto researching even more relationships. It seems
difficult to think that the ancient Egyptians happened upon the 189c, and the ancient maya happened upon an 819c, and that these two opposing events in history
were simply that, a mere coincidence. Turbeville does not explore the k'awil, 819c, as we have done in our own
research, but Turbeville's Tables serve as another stepping stone to comprehending such relationships and coincidences
found in the past.
Turbeville's Tables suggest many
other relationships among the ancient counts, although not stated
specifically, such as those of the cited Khufu Mile of 6048 feet.
This count brings to mind the ancient maya long-count number/fractal of 4608c. The 6076 ft. cited by
Turbeville of "one minute of arc" being equal to
"one nautical mile" reminds us of the 676c of the Legend of the Four
Suns of the ancient Mesoamericans. There are far too many examples in
Turbeville's work to cite in such a brief review. But,
we encourage the reader to explore these coincidences. The number/fractal
series, such as 4608, 6408, 8640, 6480, 4860, 4680, etc., found
throughout the ancient reckoning systems around the world, apparently are
not the result of a myriad of coincidences. They suggest an underlying
theoretical management of the art of counting and mathematical computation,
especially when we find these same series within geometry and theoretical
constructs such as Turbeville's Tables.
ã2000
Copyrighted by Charles William Johnson. All rights reserved. Earth/matriX:
Science in Ancient Artwork & Science Today, P.O. Box 231126, New Orleans,
Louisiana, 70183-1126. (504) 733-9291 Tel/Fax. www.earthmatrix.com
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New Tabular Evidence of a Monument in Harmony with the Universe
The title to Joseph Turbeville's new book (an expanded edition of
his
previous book) is almost as big as the book itself. Caution: don't let
the size of the book fool you. At just 133 pages, New Tabular Evidence
of a Monument in Harmony with the Universe is so loaded with astounding
mathematical discoveries it seems ready to explode.
This new edition covers
much of the material presented in his first book (A Glimmer of Light
from the Eye of a Giant) but contains exciting new material based upon,
and related to, the work presented in the first edition, including new
illustrations and graphs as well as all of his original mathematical
tables.
For those not familiar
with the first edition, the foundation of this
important work is the Fibonacci number sequence. This sequence yields
remarkably significant numbers when the multi-digit numbers in the
sequence are distilled to single digits and subjected to Turbeville's
unique calculation tables. By "significant numbers" I mean numbers that
are specifically related to things such as the exterior dimensions of
the Great Pyramid, Da Vinci's Vetruvian Man, the diameters of the
planets and moons, the Golden Proportion (Phi), the Pi constant and the
interwoven connections among and between all of these items and more.
Talk about a cosmic tapestry. Turbeville has tapped into it and he hangs
it on the pages of his book for us to marvel at.
While the reader with a
good background in mathematics will find him/herself in Math Heaven, the
general reader with only a high school math background should not be
discouraged from giving this book a chance. The language is such that
the general reader will find much of it intellectually stimulating. I
should know because I fall into the latter category and I'm simply
astounded by the discoveries Turbeville has made.
Has Turbeville simply stumbled into, and
rediscovered, a knowledge base that was once common to the ancients as
evidenced by the artifacts and monuments they left behind? Or did they
incorporate these mathematical formulas into their work without
realizing it? Turbeville believes they knew exactly what they were doing
and suggests they may even have had tables in their possession similar
to those which he has devised in the course of his exploration of the
Fibonacci sequence. Truly, some mind boggling relationships between
seemingly unrelated things have been discovered in Turbeville's work. To
cite just one example, he brings up a classic problem often presented to
physics students. It concerns the hypothetical experiment of dropping a
ball into a hole that has been bored straight down through the center of
the earth. Using the 30 degree latitude of earth's surface (the
approximate latitude of the Great Pyramid) and factoring in the mean
gravitational acceleration in (feet/second-squared) from the surface of
the earth to the center of the earth, as well as other pertinent
variables, Turbeville shows the calculations to determine the maximum
velocity that the ball will achieve during it's decent. The result is
25920 feet per second. He comments on a surprising "coincidence":
"It is extremely
interesting that the numerical value for the maximum
velocity in this hypothetical problem is identical to the tabular value
for the
Earth's ecliptic cycle of 25920 years." (p. 63)
If that isn't
tantalizing enough, Turbeville finds yet another remarkable
correlation in his discussion about the speed required for an object to
maintain a low-level Earth orbit (25920 ft/sec.) in a purely
hypothetical situation in which there is no atmosphere to contend with.
He writes:
"The hypothetical Earth orbit time and the oscillatory period of the
ball in
the 'hypothetical hole' form a square root ratio approximating the
Golden
Ratio Phi." (p. 65)
He doesn't just make
this pronouncement and leave it at that. He provides the proof in a
simple step-by-step demonstration of the math which does, indeed, result
in the Golden Ratio.
And for those folks whose interests lean more
toward the lesser science (dare we even call it a science?) of such
things as alphanumeric synchronicity, there is even something here for
them. This is where Turbeville borrows from the work of "yours truly" (http://hometown.aol.com/codeufo/gematria.html) and, applying his unique data to my data, finds correlations between our
two seemingly separate realms of exploration that stunned even me. How
is it, for example, that when the numbers 0 through 9 are converted into
the words, ZERO through NINE, the resulting alphanumeric values are
found to be in direct correlation with the numbers generated in
Turbeville's tables based on permutations of the Fibonacci sequence, not
to mention the exterior dimensions of the Great Pyramid? And how does
the mystery of the number 9 fit into the entire scheme? As Turbeville,
himself, points out in this latest edition of his book: "Many of these
numbers in the past were given religious significance and meaning in the
old languages of Hebrew, Greek and Arabic, in systems that were
concerned with the assignment of numbers to sounds and letters or their
alphabets. This was the science known as Gematria." (p.49)
Any reader whose
interests include any of these subjects (the Great Pyramid, ancient
mysteries, Fibonacci numbers, Pythagorean mathematics, celestial
mechanics, gematria, etc.) will find something of value in this extended
edition of Turbeville's groundbreaking work.
Gary Val Tenuta
Author of The Secret
Of Nine
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A Riddle in Stone Deciphered: A Compendium of Articles and Notes
The book is a compendium of selected writings and notes from the author's unique and amazing "Glimmer Table" creations. Number summations and symmetrical combinations discovered in the tables represent major measurements of the Great pyramid and its connection to the Earth-Moon system. The author offers powerful tabular evidence that the principal architect of the pyramid chose the 'foot' as the primary unit of linear measure for the design, then retained in secret the mathematical system that was used to define the unit of measure for the pyramid. This secret is uncovered and disclosed herein by the author, and the chosen unit is found to be dimensionally the same as the 'foot' defined by the British Imperial system of units. Surprisingly, the two and three column alpha-numeric tables that he develops also yield cosmological data and an Anglocentric metrological connection to the Great pyramid. These findings support the belief by some that the English language holds many secret keys to the ancient past. In the culmination of this compendium a set of general tabular development rules evolved that, when followed, amazingly will yield similar historical data from our ancient past.
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