The Great Pyramid encodes enormous amount of numerical coincidences ( pi, Phi, dimensions and movement of our planet, axial tilt, precession, speed of light, and more…)
We can only wonder if the ancient architects were fully aware of these special numbers encoded in their design — or are these numbers simply the result of selecting 2 numbers (7 and 11) for proportions for the Great Pyramid???
The design of the Great Pyramid is based on the ratio 11:7. This ratio (equal 1.571) is perfect approximation of the “squaring the circle” principle.
For the Great Pyramid, Base to Height Ratio 440/280 is exactly 11/7
Most “pyramidologists” appear to be “chasing their tails” uncovering huge amount of “numerical coincidences” embedded in the Great Pyramid…
It is simply unbelievable, however ALL of these numerical coincidences are result of selecting just 2 numbers for the pyramid design: 7, 11 (height to base ratio), 40 as the scale factor, and the measuring unit: Royal Cubit = 20.62 ” = 0.524 m.
This single, fundamental design principle: 11 : 7 as the “Base to Height Ratio” generates ALL amazing mathematical properties of the Great Pyramid:
- the Golden Ratio Phi=1.618 (the Great Pyramid is a Golden Pyramid: length of the slope side (356) divided by half of the side (440/2 = 220) height is equal to 1.6181818… which is the Golden Ratio Phi
- squaring the circle ratio 1.571 (base/height = 44/28 = 1.571)
- pi=3.14159… (2 x base/height = 2 x 44/28 = 3.14286 which is very close approximation of “pi” = 3.14159…)
- Perimeter of the square base, 4×440=1760, is the same as circumference of the circle with radius = height: 2x ”pi” x height (2x 22/7 x 280=1760)
- The ratio of the perimeter to height of 1760/280 cubits equates to 2x pi
to an accuracy of better than 0.05%
- Side of the base (440) plus double height (2x 280=560) = 1,000 (which is also the scale of the layout rectangle of 3 Giza pyramids)
- Perimeter of the square base is equal 4×440=1760 RC = 0.5 nautical mile = 1/7,200th of the radius length of the earth
- the slop angle 51°.843
- The Pyramid exhibits in the design both pi and by Phi, given the similarity
of 2/ sqrt(phi) (2 divided by the square root of Phi) with pi/2 :
- 11/ 7 equal 1.5714
- 2/ sqrt(89/55) equal 1.5722
- 2/ sqrt(Phi) equal 1.5723
- pi/ 2 equal 1.5708
- Royal Cubit = 0.5236 m
- pi – Phi2 = 0.5231
- and more…
Pi ( 3.141 592 65…)
For thousands of years Pi was a coveted number imbued with magical properties. Generations of scholars pursued it doggedly, often considering it the be-all and end-all of geometry.
The ancient Egyptians knew the ratio of the circumference to the diameter of a circle as 22/7 and as 4/3 to the 4th power.
Also rectangle encompassing 3 Giza pyramids is rectangle with sides sqrt(2) by sqrt(3) scaled 1000 times (in Royal Egyptian Cubits).
Interestingly sqrt(2) + sqrt(3) = 3.14626 which is a reasonable approximation of “pi” .
There are approximate fractions that give very close approximation of the “pi” (in order of increasing accuracy):
- 22/7 = 3.142 857…
- 333/106 = 3.141 509…
- 355/113 = 3.141 592 92…
- 52163/16604 = 3.141 592 387…
- 103993/33102 = 3.141 592 653 011…
The number Pi stretches on forever.
You cannot expect to reveal the actual last digit of pi – Because there isn’t one.
For most numerical calculations involving “pi”, a handful of digits provide sufficient precision. According to Jörg Arndt and Christoph Haenel, thirty-nine digits are sufficient to perform most cosmological calculations, because that is the accuracy necessary to calculate the volume of the known universe with a precision of one atom. Despite this, people have worked strenuously to compute ? to thousands and millions of digits.
If there was ever a magical number, it is pi, the mathematical constant whose value is the ratio of the circumference of a circle to its diameter. Pi appears in countless formulae in mathematics and engineering and is roughly 3.14159 though because it is an irrational number (meaning it will continue infinitely without repeating), it is forever the subject of efforts to calculate it to the most number of decimal places. Since 1995, the record has been held by supercomputers, which have progressed the record to 2577 billion decimal places. Now the record has been broken again, but this time by a desktop PC with a humble Core i7 CPU running at 2.93 GHz, with 6 GB RAM and 7.5 TB of disk storage. Congratulations to Febrice Bellard, who set a new record of 2,699,999,990,000 decimal places in December 2009. Febrice’s web site has all the available information.
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The following segment is a comment about Pi sent by our visitor
Pi = 3.141 592 653 589 793 238 462 643 383 279 502 884 197 169 399 375…
I have always been interested in astronomy and cosmology from the view point of ancient cultures, but that aside, one has to look at their overall understanding of calendars, time and dates, buildings, sacred monuments, mathematics, geometry, their city centers, trade routes, technology, language of priests and peasants, the language of their Gods and the way they civilized the population, war and kingship, battles and war tools, what they taught, their laws, traditions, dialects oral or written, influences that affect stability, artifacts and materials used, whom they went to for guidance or intervention, medicine and how they cultivated or divided the land, their desire or aspirations, skills of carpenters, masons, miners, access to water and spices used, establishment of trade routes, names of famous writes or advisers and leaders that supported the structure and community and how they protected themselves from outsiders etc, etc.
There are so many theories being put forward by G Hancock, R Buval and others and i am in no doubt that we have to come to the “table” with an open mind. We know that humans have existed for 100 million years and can draw the broken tree of our ancestors. We need to explain how different parts of Earth developed as it is clear that whilst the middle-east was in the bronze age, other parts were still existing in the stone age (3rd world status), but they may have supplied materials for bronze implements, without having the technology to make such products. The ice age may not have covered Europe with a ice sheet 2km thick, maybe some pockets remained where people lived in isolation, we do not know all the facts. We cannot trust GOVTs or scientists to tell us everything – they are not idiots. Look at the mess we are in now and they will deny all knowledge that they had some notion of the suffering – we are groomed not to tell the truth, because if we get away with it, that is all to our advantage for survival.
I do believe that each of us has to look at all the aspects as far back as possible, and see how the facts need to be interpreted for all humanity. This is our ancient heritage, whether this relates to Pyramids or Stone Circles, any artifact has to be placed as to identify what was the thinking process and what was its purpose. If we are divided in opinion we will fail to get to the truth.
Give you an example: we know that even nomadic hunters had to follow the food trail and moved from place to place in order to survive. Once we started lived in a fixed point, we had to get the food, water, tools, knowledge etc to come to us. We had to therefore interact, so whom did we interact with and why? Being fixed meant suffering bad and good conditions, so how did we survive the difficult months, how did we adopt to changing climate and natural disasters, disease and in fighting.
When did we first seem to know about the mechanics of the Earth, by looking at the stars and building an idea of time, by looking at the day/night cycles, months and seasons, so we knew when to sew and harvest, when to have children to give the best chance of survival, how to explain these movements of stars to new generations and give them a better chance of survival. When did we look at each aspect of life as a cycle, like the moon and planets nearest to our own Earth. How did we encode this information of cycles of time and space into great Epic Sagas developed into cosmic cycles and myths and legends so each generation could remember their heritage and understand social responsibility.
We talk of Plato and Atlantis, King Solomon’s mines, the Temple of Solomon, The Books of the Jews and Israelites and how the cosmos is 13.6999xxxxx billion years old, but despite all this know how and intellectual depth we have more problems today then our ancestors faced, more financial tsunamis each day and maybe its just my opinion but we have not found ONE DAY on Earth we celebrate peace, it eludes us, its not in our grasp, but we are more interested in wealth and achieving immortality. If the fact that we could achieve IMMORTALITY just to experience being inside every atom at the same time, and this was FREE, would the GOVT tell you or the priests tell you? absolutely NOT, because they will not be able to have control over you, but it is a state of happiness you can get by searching in the right places and not just for yourself but for all humanity, so if you achieved it yourself, would you share it? absolutely NOT, because people will treat you, as if you are mad.
We know that life is hidden inside a millet seed, so IMMORTALITY is also hidden inside a millet seed, would be a good way of looking, would you agree?
In all of humanity I know only TWO people who have IMMORTALITY, one died and lived again and the other never had experience of death, he never died and yet in all our search we do not understand one and the other is never mentioned, in fact he is only mentioned once of in Genesis and so you have to ask why these two, what was special about these two and how do all the other facts try to help us to achieve the same degree of wealth and understanding they had to become like them.
Let me leave you with this fact for your path to understanding:
1 = God
0 = Contains God (nothingness still has the presence of God)
8 = infinity or you can call it 10 to the power of infinity, so it contains everything.
4 x 27 = 108
108/5 = 21.6
3,6,12,24,27,36,54,60,72,108,144,180,216,252,288,324,360,540,720, 1296, 2592,4320, 5184 etc are TIME SPACE constants and hidden inside in PI = 3.141592654
Pi = 3.141 592 653 5…
3 x 1 = 3
3 x 1 x 4 = 12
3 x 1 x 4 x 1 x 5 = 60
3 x 1 x 4 x 1 x 5 x 9 = 540
3 x 1 x 4 x 1 x 5 x 9 x 2 = 1080
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 = 6480
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 = 32400
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3= 97200
(3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 4 = 129600 (if approximated to the 9th decimal place)
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 x 5 = 486 000
SEE I TOLD YOU – Its all in the heart of a millet seed.
3 x 1 = 3
3 x 1 x 4 = 12
3 x 1 x 4 x 1 x 5 = 60
3 x 1 x 4 x 1 x 5 x 9 = 540 ::: 540/360=1.5
3 x 1 x 4 x 1 x 5 x 9 x 2 = 1080 ::: 1080/360=3
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 = 6480 ::: 6480/360=18
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 = 32400 ::: 32400/360=90
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 3 = 97200 ::: 97200/360=270
The Sumerians, Akkadians, Babylonians, Egyptians, Greeks, Romans and later Muslim scholars and the Western World adopted all these value and universal constants and we are just not sure how to use these to understand Divine Light and therefore achieve our goal. It seems we still are looking for Aliens and Atlantis – digging here and there and yet it is right in front of us, if we could only see!
GOOD LUCK and hope that one day we all live in peace and unity, because someone is trying hard for us NOT to achieve this and has so far succeeded for 10500 years!
OurVisitor’s comment submitted on Dec 9, 2011 by “Megabites4u”
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Phi and phi
phi = 1.61803 39887 49894 84820 45868 34365 63811 77203 09179 80576
phi, 1.618 … is the Golden Ratio in life and the universe.
phi + 1 = phi 2
Phi = 1/phi = 0.618034…
Phi = phi – 1
( 1 + sqrt(5) )/2 = 1.61803 3988…
which is an excellent approximation of Phi
The following formula connects “Pi” (3.14159…) and “phi ” (1.6180…):
(6/5 ) x phi 2 = Pi
(12/5) x phi 2 = 2 x Pi
sqrt(phi) nearly equals 4/pi
( 1.272 vs 1.273 )
This Formula is expressed by the numbers describing Pyramids of Giza !!!
Here is how:
Proportions (base to height ratio) of the 1st Pyramid: 11/7
Proportions (base to height ratio) of the 2nd Pyramid: 3/2
Proportions (base to height ratio) of the 3rd Pyramid: 8:/5
(24/10) x phi2 = 2 x Pi
the same formula written with ratios of 3 pyramids:
2 x [ 2 x (11/7)] = (3/2) x (8/5) x phi2
Note: the Great Pyramid is a Golden Pyramid: length of the slope side (356) divided by half of the side (440/2 = 220) height is equal to 1.6181818… which is the Golden Ratio Phi
The dimensions of the Earth and Moon are in Phi relationship, forming a Golden Triangle:
The Summation Series (Fibonacci)
The natural progression follows a “summation series” that is known today as the “Fibonacci Series“ [ of course this Series was in existence before Fibonacci (born in 1179 CE) – he simply “re-discovered” it.] The Summation Series is a progressive series, where you start with the first two numbers, then you add their total to generate the next number, and so on. By definition, the first two Fibonacci numbers are 0 and 1, and each subsequent number is the sum of the previous two. The first summation progression:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, …
It is worth to note that the first summation (Fibonacci) progression generates approximation of the golden ratio (PHI):
The second of Fibonacci progression (provides approximate geometry of the pentagram and also leads to the golden ratio ‘phi’ )
1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, …
just like in the above example:
199/123 = 1.61788…
The Summation Series is reflected throughout nature. The number of seeds in a sunflower, the petals of any flower, the arrangement of pine cones, the growth of a nautilus shell, etc…all follow the same pattern of these series.
The overwhelming evidence indicates that the Summation Series was known to the Ancient Egyptians. Throughout the history of Ancient Egypt, temples and tombs (including pyramids) show in their design expression of the Summation Series: 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, . . .
Read More (our previous blog entry): http://blog.world-mysteries.com/science/sacred-geometry/
The closest distance between Earth and Sun is 147 x 106 km, which converted to Royal Egyptian Cubits is 280 x 109 ( 280 cubits is the height of the Great Pyramid).
Observe the measurements of the Moon:
Equatorial radius 1,738.14 km (0.273 Earths) so
the Moon Diameter is: 3,476.28 km or 2,160 miles.
Let’s make this “the cosmic unit” (one moon unit)
representing the “ideal” diameter of The Moon.
Diameter of The Sun =865,294 miles*.
If we divide 865,294 by 2,160 astonishingly
we get 400.6 …
*The SOHO spacecraft was used to measure the diameter of the Sun by timing transits of Mercury across the surface during 2003 and 2006. The result was a measured radius of 696,342 ± 65 kilometres (432,687 ± 40 miles). Staying within the margin of error, measured radius of the Sun is 432,647 miles (or diameter 865,294 miles).
7 x 8 x 9 x 11 x 12 x 13 = 864,864 which is only 0.05% (430 miles) smaller than the measured value.
Also, 930 x 930 = 864,900 (only 394 miles less than measured value).
Equatorial Circumference of the Earth: 1,000 x 360 x 365.24 feet
= 131,486,400 feet = 40,077km
Official value for equatorial circumference of the Earth: 40,075 kilometers
That is truly a “cosmic” coincidence !!!
There is more… and the Great Pyramid has these values encoded in its proportions!
The radius of the Moon compared to the Earth is three to eleven, ie. 3:11.
Radius of Moon = 1,080 miles = 3 x 360 = 1 x 2 x 3 x 4 x 5 x 6 x (3/2 )
( 1080.030 miles = 1738.1 km )
Radius of Earth = 3,960 miles = 11 x 360 = 1 x 2 x 3 x 4 x 5 x 6 x (11/2)
(3963.167 mi 6378.1 km )
Radius of Earth plus Radius of Moon = 5,040 miles = 14 x 360 =
=1 x 2 x 3 x 4 x 5 x 6 x (14/2) = 7 x 8 x 9 x 10
(Actual 5043.197 miles )
1 x 2 x 3 x 4 x 5 x 6=720
1+2+3+4+5+6 = 21
21 x 240 = 5040
(720 x 21) / 3 = 5040
(720 x 21) / 14 = 1080
The ratio 3:11 is 27.3 percent, and the orbit of the Moon takes 27.3 days.
(Sidereal rotation period 27.321582 d (synchronous).
27.3 days is also the average rotation period of a sunspot.
Here is another unbelievable “coincidence”:
“Pi” approximated to the 9th decimal place is exactly
Pi = 3.141 592 654
3 x 1 x 4 x 1 x 5 x 9 x 2 x 6 x 5 x 4 = 129,600
129,600 x 2 = 25,920 x 10
which is 10x Earth’s precession cycles ( 10 x period of precession of the equinoxes)
The Earth is spinning on its axis in a counter-clockwise direction, and rotating around the sun also in a counter-clockwise direction, while the earth’s spinning axis wobbles like a gyroscope in a clockwise direction. As the result, as the twelve constellations appear to move clockwise along/around the horizon during the course of its annual rotation around the sun during a year, the constellations, from spring or fall equinox to equinox, appear to move counterclockwise at the rate of 72 years/per degree, or one full wobble in 25,920 years (also known as Great Year).of the earth’s axis.
The galactic year is the duration of time required for the Solar System to orbit once around the center of our galaxy (the Milky Way). Estimated length of the galactic year is close to 1000 precession cycles of the Earth.
Another important observation:
No matter what units of measure we use,
the sides of the Giza Pyramids Rectangle (layout for all 3 pyramids)
generate the base of the 1st pyramid:
If we use Royal Egyptian Cubits:
1732/1417 = 440/360
This rectangle shows also relationship of
the Royal Egyptian Cubit 20.62 inch
to the Sacred Cubit 25.2 inch:
1732/1417 = 25.2/20.62
Copyright 2012 A. Sokolowski & World-Mysteries.com