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)

By the way:

1+2+3+4+5+6+7+8+9+10+11+12+13+14+15+16+17+18+19+20+21+22+
+ 23+24+25+26+27+28+29+30+31+32+33+34+35+36= 666

Check it out with calculator or use this formula:
  the sum of the first n numbers = n(n+1)/2

Number 144

144=12 x 12
144=3² x 4²

1 day = 24 hours = 1440 minutes
100 days = 144,000 min

Sacred Tetractys

 The Pythagoreans adored numbers. Aristotle, in his Metaphysica, sums up the Pythagorean’s attitude towards numbers.

 “The (Pythagoreans were) … the first to take up mathematics … (and) thought its principles were the principles of all things. Since, of these principles, numbers … are the first, … in numbers they seemed to see many resemblances to things that exist … more than [just] air, fire and earth and water, (but things such as) justice, soul, reason, opportunity …”

One of fascinating ancient discoveries is Tetractys. It is a symbol composed of ten dots in an upward-pointing triangular formation. It was a sacred pattern for the school of philosophers who followed the teachings of the Greek sage Pythagoras.

Tetractys itself can be interpreted as the symbolic blueprint of creation. Its image is an equilateral triangle based on the essential numbers 1 (top), 2, 3 and 4 (base), whose sum is the “perfect” number 10  ( 1 + 2 + 3 + 4 = 10).

 These numbers were considered by the Pythagoreans to be holy and at the origins of the universe. They believed that a four-fold pattern permeated the natural world, examples of which are the  point, line, surface and solid and the four elements Earth, Water, Air and Fire.

Musically they represent the perfect consonants: the unison, the octave, the fifth and the fourth.

 The importance of the tetractys to the Pythagoreans is illustrated by their oath of fellowship:

 I swear by the discoverer of the Tetractys,
Which is the spring of all our wisdom,
The perennial fount and root of Nature.

Tetractys generates hexagon which is 2-D projection of 3-D cube

Copyright 2012 A.Sokolowski & World-Mysteries.com

To be Continued…

Your feedback and comments are welcomed!

Links:

• Decoding-Giza-pyramids-part-2
• 2112-decoded
• The Great Pyramid and the Speed of Light
• 2012-and-the-pyramids-at-giza
• secrets-of-the-giza-pyramids
• Numbers Magick
• and more on our blog

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PS Visitors’ Comments

These are the dimensions of Khufu (The Great Pyramid). 440,418, 356,280.

The answers you can find by using the right cubic scale will reveal many answers. Above I suggested adding/subtracting/multiplying/dividing 666 to find more answers purposely hidden within the Pyramids at Giza… with an added suggestion you might want to do the same thing to all the other Giza like setups that exist around the world.

As Doug reiterated within this blog, the total number of minutes that separates December 3, 2012 from December 21, 2012 is 25,920 minutes…
the Procession/Progression/Precession of the Equinox takes 25,920 years. Now that’s one damn interesting “correlation”. Kinda makes a person wonder if that is true for the minutes then shouldn’t the Pyramids themselves point to the restarting of the Equinox?

Plus the Pyramids at Giza has many more mathematical truths people can discover just by adding/multiplying the 3 groups of three together;
3+3+3 = 9.
3*3*3 = 27.
As you see we have 3?s equaling 9 and then 3*9 = 27.
Where is the Six?
Can you find the Six by discovering how many groups of three can you add together… ie Group 1(G1), Group 2(G2), & Group 3(G3). So G1+G2 = 6. G2+G3 = 6, and G3+G1 = 6. So if we bring all the groups together that equals 666. Now that’s one hell’ve jump to find 666 in the physical makeup at Giza… hell most people would dismiss that as finding something that truly isn’t there. And I would agree with them if it wasn’t for a few simple truths.

For those of you who don’t know you might want to Google that answer and then look at the answer above. Whoever built these Pyramids around the world flew in Space, PERIOD! Or you do really believe governments of the world would invest so much man/material/money/power on a bet, on a guess? You can decide all of this equals nothing more than a kawinkadink if you want, or you can decide someone has been lying to us our entire lives. If someone has been lying to us our entire lives, how better to get word out then to have people from all over the world, in all walks of life, seeking the rest of the answers that will eventually lead all of us (the whole world) to the truth. Math doesn’t lie, man does… follow the math stop believing the men who keep telling you to ignore it.

–- Charles Marcello

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144,000 & 666

These two numbers can be found all over the world 144,000 and 666.

One day I decided to multiply/divide 666 into 144,000.
Because there are three 6’s I decided to multiply/divide 6 into 144,000 three times…
and then decided to multiply/divide 6*6 = 36 & 6*6*6 = 216 into each of those numbers…
and then decided to multiply/divide 6, 6, 6’s into itself.
Below is what I found.
You decide if any of these mathematical answers equal something or nothing at all.

• 144,000 * 6 = 864,000 — 144 * 6 = 864
• 144,000 / 6 = 24,000 — 144 / 6 = 24
• 24, 000 / 6 = 4,000 — 24 / 6 = 4
• 4,000 / 6 = 666.66 — 4 / 6 = .666
• 144,000 * 36 = 5,184,000 — 144 * 36 = 5,184
• 144,000 / 36 = 4000 — 144 / 36 = 4
• 24,000 / 36 = 666.66 — 24 / 36 = .666
• 4,000 / 36 = 111.11 — 4 / 36 = .111
• 144,000 * 216 = 31,104,000 — 144 * 216 = 31,104
• 144,000 / 216 = 666.66 — 144 / 216 = .666
• 24, 000 / 216 = 111.11 — 24 / 216 = .111
• 4,000 / 216 = 18.5185 — 4 / 216 = .0185185
• 144,000 * 666 = 95,904,000 — 144 * 666 = 95,904
• 144,000 / 666 = 216.216 — 144 / 666 = .216
• 24,000 * 666 = 15,984,000 — 24 * 666 = 15,984
• 24,000 / 666 = 36.036 — 24 / 666 = .0360
• 4,000 * 666 = 2,664,000 — 4 * 666 = 2,664
• 4000 / 666 = 6.006 — 4 / 666 = .006006
• 666 * 6 = 3,996
• 666 / 6 = 111
• 666 * 36 = 23,976
• 666 / 36 = 18.5
• 666 * 216 = 143,856
• 666 / 216 = 3.083

with the added bonus of…

6*6*6 = 216
216*432,000 equals 93,312,000
432,000/216 equals 2000.

BTW I can’t wait to read your next part(s)

–- Charles Marcello

Don’t miss Decoding-Giza-pyramids-Part-2