JOSEPH TURBEVILLE'S RESEARCH

A Glimmer

Of Light

From the Eye

Tabular evidence of a monument in harmony with the universe

 

NOTE:   This book by a former Physics Professor contains one of the most fascinating mathematical analysis of the Great Pyramid that I have ever read.  It is loaded with charts and tables and Professor Turbeville displays a grasp of mathematics that is unique.  His correlations are very creative and insightful.    I highly recommend this book and I guarantee you will find it challenging, stimulating, and enjoyable.

John DeSalvo, Ph.D., Director
Great Pyramid of Giza Research Association

 

Preface

If anyone should ask how I managed to conceive the idea and why I decided to develop the tables presented in this treatise, I’m not certain I‘ll be able to give them a reasonable and acceptable answer. This is an attempt.

I’ve always considered myself a creative and intuitive person who enjoys the symmetry and beauty of the world around me. A trip to a boatyard or marina to gaze at the sleek hulls of sailing vessels gives me quiet pleasure. The solution to a difficult math problem may sometimes come to me in an intuitive flash and always seems beautiful. In the last few years I have become increasingly aware of what are called synchronistic events in my life, where coincidental happenings no longer seem merely coincidental but often have real personal meaning or affect the activity I may be involved in. It was in this light that I found myself creating, or quite possibly recreating, these extremely interesting tables that seemed to come to me from out of antiquity and have provided me with a real sense of discovery. Number summations and symmetrical combinations discovered in the tables amazingly represent many of the exact measurements made at the Great Pyramid in Egypt. Other numbers that continually reoccur in the tables represent physical earth measurements of such things as size, density, angular velocity and rotational energy, or harmonics thereof. It seems impossible to imagine that all of these factual numbers were placed here by mere coincidence, when a knowledge of higher mathematics seems essential for their presence, so many so that the reader may be tempted to join in the search for other numerical connections to the distant past. This is my hope and indeed may be the reason for this revelation.

 

I did not intend this to be a treatise on the synchronistic events that may have led me to this fascinating discovery and these events will only be discussed or mentioned as side notes at those points in this work where I feel it necessary for the reader to be shown how I might have been given a nudge in a fruitful direction by some synchronistic event. This is done in order to minimize any aura of mysticism that might be cast over these tables, for truly they are nothing more than an additive sequence of numbers and combinations thereof that may be found in all of nature.

 

The Great Pyramid - Khufu

The mystery that surrounds the Great Pyramid of Giza in Egypt is legendary, and the differences between truth and legend become less certain as we travel back through the mist of time. It is the most studied and written about monument on the face of the Earth, and it is not my intention to add more verbiage to the vast collection of literature already available on the subject.

It is my intention, however, to show that the tables developed and presented here were inspired by the mathematical symmetry found in nature and for some mysterious reason contain the most precise measurements ever made of the major dimensions of the Great Pyramid Khufu. Only after I began to probe the symmetry and mirror image properties of the tables did I begin to wonder; "Might similar tables have existed before the Great Pyramid was built? Do they contain data or guidelines that might have been used by ancient artisans and architects?"

Using the precise width and height measurements recorded by William Petrie, an English surveyor of the late nineteenth century as a reference, ¹ 440 royal cubits for the base width, 280 royal cubits for the height, and in addition, using his determination of the royal cubit of 20.63 inches, which is now an accepted standard for the Great Pyramid, a base width of 756.4 feet and height of 481.4 feet can be calculated.

There seems to be no direct evidence in the tables of any number that is sufficiently close to the height in feet shown above to be acceptable; however, there are an excess of dimensional numbers from which the height can be calculated. These external numbers can be physically measured on the pyramid, whereas the height is a number that must be calculated. There is no way to make a direct internal measurement of the height. The base line width 756 feet, the half width 378 feet, the apothem length 612 feet (a measure from the apex down the pyramid face to the half-width point) and the corner edge line 720 feet can all be found in the tables.*

If the total sum of the numbers of Table-1 (1188) is divided by 189, an ancient irrational value once used for two Pi (2p ) is obtained. i.e. 1188 / 189 = 44/7 = 2p .

This irrational value of Pi (p ) = 22/7 is in error by only 0.04 % and is used throughout this entire treatise as it seems to be the value in use when the pyramid was built.

In the earlier discussion on Khufu – A Model of the Earth, we discussed the fact that 360° had historically been known to contain 21600 arc minutes and that a minute of arc on the Earth’s surface was equal to one nautical mile. If we assume that the total sum of Table-2 (6048)* is Khufu’s inherent value for the number of feet in a nautical mile, and use that number, which we will now call a Khufu mile, to calculate the distance around the Earth at the equator, we obtain a distance of precisely 21600 Khufu miles.

i.e. The Earth’s equatorial circumference is equal to Khufu’s
perimeter (in feet), times the scale factor, divided by the number of feet per Khufu mile.

(4 • 756 ft) • (43200) / (6048 ft./ kfu.mile) = 21600 kfu.mile.

There have been eighteen copyrighted tables developed thusfar, which are the subjects of this treatise and the author has elected not to display them with these excerpts.

If you would like to read about the Author or reviews of the book, you may visit the WebPages provided by the publisher at:  

If you would like to contact the Author - Joseph Turbeville, his E-mail address is:  

---

"autographed copies available from the author" - A Glimmer of Light From the Eye of a Giant:Tabular Evidence of a Monument in Harmony with the Universe.

$14.95 US Dollars (plus $2.50 postage and handling inside the USA -- $3.75 outside the USA) Send check or money order to Joseph Turbeville -- PO Box 614 -- Hayesville NC 28904.

Please provide name of the person to whom it is to be autographed, and a proper mailing address.

 

 

http://www.gizapyramid.com/turbeville.htmjosepht@tri-county.main.nc.uswww.trafford.com/robots/00-0065.html

Decoding the Pyramids of Giza – Part 1

Copyright 2012 by World-Mysteries.com
Please quote with appropriate credit and copyright information

Introduction

The relationship between number, proportion, astronomy and music must have been well known to the ancient people well before Greeks and Romans. Plato himself attested to the longevity of the Egyptian harmonic canon of proportion (sacred geometry), when he stated:

That the pictures and statues made ten thousand years ago, are in no one particular better or worse than what they now make.

The Ancient Egyptian works, large or small, are admired by all, because they are proportionally harmonious. This harmonic design concept is popularly known as “sacred geometry” and used in the design of sacred architecture and sacred art.

Proportions of any object are always independent of the units of length (meters, feet, cubits etc) we use to measure the object.
Once specific unit of measuring length is introduced, dimensions of an object can be expressed by different numbers, however its proportions will remain the same. 
Although objects with identical proportions can be built to different scale, the “base to height” ratio will stay the same.

For example:

• for any circle, the circumference divided by its diameter is always equal “pi” (3.14159…)
• for any square, the perimeter divided by the diagonal is always 2 x sqrt(2) = 2.8284….
• for any equilateral triangle, the perimeter divided by the height is always 2 x sqrt(3) = 3.4641…
  and the ratio height to base is  (1/2)x sqrt(3) =0.866…

If we consider proportions of a pyramid expressed by the height divided by the base, values of the “base to height ratio” will be independent of units of measure we use! (see example of the GP below)

Proportions of the Giza Pyramids

Here are official dimensions of 3 pyramids at Giza:

1. The Great Pyramid: Base =440 Royal Egyptian Cubits,
   Height = 280 Royal Egyptian Cubits,
   Base to Height ratio = 11/7  (440/280 = 11/7 exactly)
2. The Second Pyramid:
   Base =411 Royal Egyptian Cubits,
   Height = 274 Royal Egyptian Cubits,
   Base to Height ratio = 3/2  (411/274 = 3/2 exactly)
3. The Third Pyramid:
   Base =200 Royal Egyptian Cubits,
   Height = 125 Royal Egyptian Cubits,
   Base to Height ratio = 8/5  (200/125 = 8/5 exactly)

We can notice the following numerological relationships between 3 pyramids:

11 / 7  = (3 + 8) / (2 + 5) 
( we are adding to top value of 2^nd and 3^rd pyramid ratio to the bottom value of each ratio)

If we add this way all 3 ratios we will get:

(11 + 8 + 3) / (7 + 5 +2) = 22/14 = 11/7
(the ratio of  the Great Pyramid and the approximation of “pi” ).

So ratios of all 3 pyramids added this way are equal the ratio of the 1^st pyramid.

Sir Petrie has noticed that the relation between the height and the base (ratio 3/2 = 6/4) conceal the Pythagorean Triangle (the first “Pythagorean Triplet”):
3² + 4² = 5²

• The 3rd Pyramid with its base = 200 has diagonal = 282.84 = 100*2*sqrt(2). 
• Radius of a circle circumscribed on 200*200 square is 141.4215 = 100* sqrt(2) and the circle’s circumference = 888.
• For this pyramid: base * height = 200 * 125 = 1000 * 25 (1000 is the scale of the Giza pyramids layout and 25 is the scale of the 3rd pyramid).
• Circle with radius=250 is very special since its circumference = 1570.8 = 1000* (1/2) * Pi

Base1+Base2+Base3+Height1+Height2+Height3=
440+411+200+280+274+125 = 1051 + 679 = 1730

Interesting “numerological” connections:

1. Proportions connection (purely “numerological”):
   Design proportions for the 1^st Pyramid 7:11; 
   7=5+2 and 11= 8+3;  7/11 = (5+2) / (8+3)  from this proportion we generate these ratios: for the 2^nd  pyramid 5/8 and for the 3^rd pyramid 2/3
   Also 100x 11/7 = 157.1  which is scale factor for the layout ( 11/9 ) of 3 pyramids.
   8 and 5 give scale factor for the 1st Pyramid (5×8=40=5×2³=40) 
   2, 3, 5, 7, 8, 11  give scale factor for the 2^nd Pyramid:
   11×8+7x(5+2)=137 or 11×7+7×5+5×5= 137
2. For the Fist Pyramid the scale factor is 40 and the ratio is 11:7
   11 x 2² – 2² = 40
   Connection with the Second Pyarmid:
   (11+7) x 3²  - 5² = 137
   7x 4² + 5² =137 and 11 x 2³ + 7² = 137 and 11.7² is approximately 137 (scale for the Second Pyramid), also 25 component is the same as the scale factor for the Third Pyramid
3. For the Second Pyramid the scale factor is 137 and the ratio is 3:2 (9:6 or 6:4)
   (3+2)x 3³ +2 = 137 also (9+6)x 3² +2 = 137 and (6+4)x7x2 – 3 = 137, Interestingly, (3+2)x 2³ = 40 (scale factor for the First Pyramid)
   also, square Root of 137 is approximately 11.7  (11 and 7 are ratio numbers describing the First pyramid)

The Third Pyramid’s scale factor is 25 and the ratio is 8:5  (same as 40:25) 5²=25, 

The Pyramids of Giza Layout

Another interesting relationship is uncovered when we investigate the layout of the Giza pyramids.

Measured dimensions of the layout rectangle are 1732 Royal Egyptian Cubits by 1414 Royal Egyptian Cubits.
This dimensions are equivalent of sqrt(3) x 1,000 by sqrt(2) x 1,000.

We can say that 3 pyramids are inside the rectangle with proportions (side to side ratio) equal:  sqrt(3) / sqrt(2) = sqrt(3/2) = 1.224745…
In other words, the sqrt of the ratio describing the 2^nd pyramid (3/2) generates proportions of the Giza pyramids layout rectangle.
Note: The area of the rectangle is sqrt(3) x sqrt(2) = sqrt(6) = 2.4495

Perimeter of the Giza layout = 6,292 (RC) [= 2* 1000* sqrt(2) + 2*1000*sqrt(3)]
Circle with the same perimeter would have Radius = 1,001 RC [ 6292 = 2*pi*R so R=1,001 ]

Another amazing design feature:

• Scale of the Giza  layout:   1,000
• Scale of the 1^st pyramid:  40
  (btw, it generates  base to height ratio 8/5 for the 3^rd pyramid: 8×5 = 40)
  
• Scale of the 3^rd pyramid: 25
  -  the scales of the 1^st and the 3^rd pyramid generate also the ratio for the 3^rd pyramid: 40/25 = 8/5
  -  25 = 1000/40 (this number is generated by the scale of the layout/scale of  the Great Pyramid)
• Scale of the 2^nd pyramid is 137 (see the paragraph below about 137)
  It generates 11, the key number for the 1^st pyramid (1+3+7 = 11).
  Ratio 3/2 of the 2^nd pyramid describes triangle [3^1/2 ]²+ [2^1/2 ]²= [5^1/2]²
  which generates sides of the pyramids layout and its diagonal 5^1/2 in scale 1:1000

Such rectangle (representing the layout of the pyramids of Giza) can be generated in many ways:

1. From the Flower of Life:

The Flower of Life set in stone
at the Temple of Osiris at Abydos, Egypt.

2. From arcs generating sqrt(2) and sqrt(3) (scaled 1000 times)

3.  From diagonals of a cube 1000 x 1000 x 1000: 

137

Number 137 is the scale factor for the 2^nd pyramid (which base to height ratio is 3/2)

• 137 is the 33^rd prime number;
• Using two radii to divide a circle according to the golden ratio yields sectors of approximately 137° (the golden angle) and 222°.
• The fifth harmonic number is 137/60
• The fine structure constant, a dimensionless physical constant, approximates 1/137, and the astronomer Arthur Eddington conjectured in 1929 that its reciprocal was in fact precisely the integer 137
• The fine structure constant of physics continues to convince esoterists that the universe has numerological fine tuning: for example the age of the universe could be considered as roughly 137 times the square of a myriad of years.
• The atomic number of the highest allowed element on the periodic table allowed by the Bohr Model and the Dirac equation( Caesium-137 )

Source: Wikipedia

On autumn equinox the distance of the Sun from Earth is approximately 150.336 million km, about 108 times that of the Sun’s diameter (or 216 times of the Sun’s Radius)
216=6³ , also 216=2³ x 3³

108 x 2= 216 = 6 x 6 x 6 , 666 is the number of the Sun (and also number of the Beast)
108  has 12 divisors:   1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Interesting, multiples of 3 multiplied by 37 = repeating digits

(1×3) or 1+1+1=3 x 37 = 111
(2×3) or 2+2+2=6 x 37 = 222
(3×3) or 3+3+3=9 x 37 = 333
(4×3) or 4+4+4=12 x 37 = 444
(5×3) or 5+5+5=15 x 37 = 555
(6×3) or 6+6+6=18 x 37 = 666
(7×3) or 7+7+7=21 x 37 = 777
(8×3) or 8+8+8=24 x 37 = 888
(9×3) or 9+9+9=27 x 37 = 999

Divisors:

108 has 12 divisors:  1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
216 has 16 divisors:  1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
360 has 24 divisors:  1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
666 has 12 divisors:  1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666.

666 and the Magickal Seal of the Sun

The “Seals of the Planets,” popular before the time of Christ according to Budge (Amulets and Superstitions), are interesting because the seal containing “the Grand Number of the Sun” contains the very sacred number 36 laid out in a 6×6 square with the numbers from 1 to 36 so arranged that they add up the same in all directions, with the total of the whole seal 666.

Though popular also in Eastern lands, the Greek and Roman, or Latin, inscriptions on these seals show also their popularity in the West.. Since the sun-god was considered as the ruler over the 36 constellations of the sky and the 36 rooms of the circle of the zodiac, it was inevitable that the summary number of the numbers from 1 to 36, the number 666 should have been assigned to the sun as the ruler over all the gods of heaven and earth.

Babylonian astrologers divided the starry heavens into 36 constellations (ten days each). These were represented by different amulets called “Sigilla Solis,” or the Sun Seal. These amulets were worn by the pagan priests and they contained all the numbers from 1 to 36. By these figures they claimed to be able to foretell future events. These amulets were usually made of gold, yellow being the sun color. While being carried, these amulets were wrapped in yellow silk, as it was thought that the bearer would thus receive the beneficent powers believed to emanate from that jewel.

The 6×6 Magic Square of the Sun contains the first 36 numbers arranged in such a fashion so that each line of numbers, weather added horizontally, vertically or diagonally from corner to corner, will yield the “solar number” 111. The entire magic square therefore equals 666, a number which was significant to early Christian mystics.   In Hebrew Kabbalah, the names of the intelligence of the Sun and Spirit of the Sun were designed to equal 111 and 666 respectively. Like 888, 666 is an important musical number, for 0.666 is the ratio of the perfect fifth, the most powerful harmonic interval.  — From Jesus Christ, Sun of God (Fidler)