Great Pyramid: King's Chamber Reveals Unusually Accurate Values for π and Φ

The King's Chamber of the Great Pyramid measures 10,47 meters in length and 5,23 meters in width. These crooked numbers seem arbitrary when measuring the dimensions using the metric system, but shouldn't we assume that this is just as purposeful a design feature as many other aspects of the Great Pyramid? So why did the pyramid builders choose these specific dimensions and not others? Before trying to answer this question, let's take a look at the interior of the GP:



Whatever the reason for these particular dimensions may be, the numbers themselves reveal that, whoever built the Great Pyramid, knew the values of π and Φ (Pi and Phi) with an accuracy of up to 3-4 decimal places. To put this into perspective: such an accuracy for π has historically only been attributed to Archimedes and Ptolemy about 2300 years later.

To provide evidence for the pyramid builder's knowledge, we don't need hundreds of calculations or go to great mathematical lengths. All we need is the royal cubit, the width and length of the King's Chamber in meters and, lo and behold, it quickly becomes clear that both π and Φ were involved in the construction of the chamber.

D. Arnold allocates the basic measurement unit - the royal cubit - between 0,523 and 0,524m, which already indicates that the pyramid builders likely had π in mind before putting the first megalith in place. When assuming a value of 0,52359 (or rounded: 0,5236) for the cubit, we can do some easy maths in order to demonstrate the connection:



Why is this significant?
Well, mainly because the pyramid builders have not been given credit for knowing about Pi and Phi in such detail. Most of what is known about Ancient Egyptian mathematics is based on the Rhind Papyrus dating back to 1650 BCE. In one section, it indicates a value of approximately 3,16 that AE used to compute the area of a circle - and that's 1000 years after the officially assumed construction date of the GP.

3,16 sounds close enough, but let's make no mistake: the history of getting the decimal places of π right is long and troublesome. As mentioned earlier, Ptolemy got to π = 3,1416 only around 150 AD. Similarily, the mathematical description of Φ, the golden ratio, began much later with Euclid providing the first description and Fibonnacci paving the way to actually getting close to Φ = 1,618 around 1200 AD.

I do acknowledge making an assumption here by setting the cubit to 0,5236 for this illustration. But even without this small leap, the length of the King's chamber (10,47) divided by 20 results in 0,5235 (with π = 3,141). This for itself is an unheard of feat in determining π that early on in human history.

If there were even more precision to the floor dimensions of the King's Chamber (in the milimeter range), would we eventually even realize that the pyramid builders knew about further decimal places of π? And maybe we should also ask: why does all of this make sense to us in the metric system? Let me close by saying that I've read many threads on here with a plethora of calculations related to the GP, but I deliberately limited this thread to the dimensions of the King's Chamber in order to illustrate only a few, but IMO astonishing relations between the GP measurements and important mathematical insights.

Thanks for reading up to here and I'm really looking forward to your thoughts on this... !



Sources & Links:
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1. Definition: Royal Cubit
2. Dimensions of the GP
2. Egyptian Mathematics: Rhind Papyrus
3. Pre computer calculations of Pi
4. Pi in Antiquity
5. What is the Golden Ratio?
6. Golden Ratio Timeline

Knowledge from some 10000 yrs BC

Written into the grand ancient architecture, itself

originally posted by: jeep3r
The King's Chamber of the Great Pyramid measures 10,47 meters in length and 5,23 meters in width. These crooked numbers seem arbitrary when measuring the dimensions using the metric system, but shouldn't we assume that this is just as purposeful a design feature as many other aspects of the Great Pyramid? So why did the pyramid builders choose these specific dimensions and not others?

The width is half the length. To say anymore than that is bizarre, the Egyptians didn't use the metric system so your numbers are meaningless, so basing anything on them is doubly meaningless. The Egyptian measurements are 10 X 20 Royal cubits

originally posted by: Milah
Knowledge from some 10000 yrs BC

Knowledge from 2550 BCE, conclusively proven by science
www.aeraweb.org...

Light

The speed of light (at 299,792.458km/s) is encoded in the latitude of the great Pyramid. At its center the pyramid is 29.9792º north of the equator . The statistical chance for the Great Pyramid to be centered on the latitude of the Speed of Light is almost beyond reason of doubt. It’s so close that if you go a few feet up or down off of the center of the great Pyramid the equality of the latitude with the speed of light is lost. The margin of error is less than 0.01%.

The meter itself is based on the circumference of the earth. We define it by dividing the polar circumference (through Paris) into 40,000,000 meter units. The second is defined as the length of a day divided into 86,400 units of time.

There is good reason to believe that the Great Pyramid’s architect knew the radius of the earth as well. To make my point I will divide the width of the great Pyramid (756 feet) into 360 units which I will call cubits. The radius of the earth contains 10.000.000 of these cubits to within a margin of 0.4-0.5%. I believe this summarily dismisses any other speculation about what kind of cubit the Great Pyramid builder’s architect used.

Additionally the architect of the Great Pyramid did not seem to find it arbitrary to find yet a third measure (besides the meter and cubit) by which to measure the earth, for reasons I don’t presently fathom. The Great Pyramid has a slope angle of approximately 51 Degrees, 50 Arc Minutes and 40 Arc Seconds. These add up to about 186,640 arc seconds (51*3600 + 50*60 + 40). The speed of light as measured in miles per second is approximately 186624 Miles per second. The difference is less than 0.02%.

I have already shown that the Speed of Light is encoded in both meters per second (in its latitude) and miles per second (in the slope angle). There is another way in which the pyramid encodes the number of light and why shouldn´t it? It was the king of all pyramids in all the earth and probably shone the brightest. The circumference of the earth, divided by the circumference of the great pyramid is ~43,460. The sun has a radius of 432,687 miles. The difference (besides a decimal point) is 0.4%. The difference would be even smaller if the pyramids had not been defaced.


It is worthy to note that we have divided our day into 43,200 * 2 seconds. This is more than logical as the sun and its light is what gives us our sense of time.

Another worthy thing to note is that the speed of light can be derived from 432 * 432.
432 * 432 is only 0.18% higher than the currently accepted measure of the speed of light at 186,282.397 Miles/s. Is it any wonder people marvel at the Great Pyramid?

Finally there is another way in which the speed of light was encoded in the Great Pyramid. Draw two circles on the base of the pyramid. One circle touching the edges, the other touching the corners. Subtract the circumference of the smaller circle from the circumference of the bigger circle. The result is about 299.8173 meters. This is less than 0.009% off of our current speed of light.
All this goes to show that the Architect of the Great Pyramid knew the following facts or concepts:

The Speed of Light in meters and miles per second.

The Circumference and radius of the Earth and the roundness of the earth.

The definition of the Meter, Cubit, Mile and Second.

The size of the Sun

To measure the Circle in 360º and 60 arc minutes and 60 arc seconds. Just a nice tid-bit to add here.

originally posted by: Marduk

The Egyptian measurements are 10 X 20 Royal cubits

Royal cubits, correct ... let's call them RC.

And isn't it way beyond coincidence then that:
5 x RC = Phi^2
6 x RC = Pi



A lot points to the RC having been derived from Pi, with an accuracy that is uncanny considering the alleged construction date of the GP.

The ancients were a lot smarter than we give them credit for. We think we're so smart in today's age but what if we're just now catching up to what the ancients already knew? Those in power like to suppress knowledge, maybe what we're just now discovering today is a result of that suppression?

Interesting topic, thanks for posting.

originally posted by: Marduk

originally posted by: jeep3r
The King's Chamber of the Great Pyramid measures 10,47 meters in length and 5,23 meters in width. These crooked numbers seem arbitrary when measuring the dimensions using the metric system, but shouldn't we assume that this is just as purposeful a design feature as many other aspects of the Great Pyramid? So why did the pyramid builders choose these specific dimensions and not others?

The width is half the length. To say anymore than that is bizarre, the Egyptians didn't use the metric system so your numbers are meaningless, so basing anything on them is doubly meaningless. The Egyptian measurements are 10 X 20 Royal cubits

originally posted by: Milah
Knowledge from some 10000 yrs BC

Knowledge from 2550 BCE, conclusively proven by science
www.aeraweb.org...

Isn't there papyrus' in London that show instructions in building problem solving by the ancient Egyptians, probably by tables of which there is seemingly no record. The tables were bound to have values that meant something for triangles and rectangles and a circle.

originally posted by: jeep3r

originally posted by: Marduk

The Egyptian measurements are 10 X 20 Royal cubits

Royal cubits, correct ... let's call them RC.

And isn't it way beyond coincidence then that:
5 x RC = Phi^2
6 x RC = Pi

A lot points to the RC having been derived from Pi, with an accuracy that is uncanny considering the alleged construction date of the GP.

The coincidence only becomes apparent when you start multiplying things to fit a preconceived idea, my living room is 40 feet by 20 feet, did the architects use Pi ?

originally posted by: 3NL1GHT3N3D1 Those in power like to suppress knowledge, maybe what we're just now discovering today is a result of that suppression?

The idea that knowledge has been supressed is an invention of pseudo historians and has zero supporting evidence. For it to be real you're talking about a conspiracy of thousands over a two hundred year period...
Just imagine, every person who has ever qualified with any kind of history degree must have been sworn to secrecy too. So, no, its a load of old bollox

Actually, the ancients didn't have to use unknown (to them) equations and ratios to find pi. All they had to do was divide the whole number 355 by 113. The quotient has been described to me by more than one mathematics professor as possibly more accurate than pi. IDK, but it is interesting, none the less...

a reply to: jeep3r

They've always fascinated me, the Giza Pyramids.

To put this into perspective: such an accuracy for π has historically only been attributed to Archimedes and Ptolemy about 2300 years later.

Yes, and I'll give you one guess where the ancient Greeks got their math from.

Remember Pythagoras? He predated Archimedes and Ptolemy, and is also known to have made at least one pilgrimage to Ancient Egypt to study the sciences.

a reply to: Marduk

All that would have to be done was to destroy evidence. Ever heard of the Library of Alexandria? For all we know it contained information that we are only now rediscovering.

There doesn't need to be a conspiracy of thousands of people, all it would take is an army destroying huge amounts of information unbeknownst to the soldiers what they were destroying.

originally posted by: Marduk
the Egyptians didn't use the metric system so your numbers are meaningless, so basing anything on them is doubly meaningles

thats 'assuming' it was the egyptians who built the pyramids ...
If it were to become apparent at some point, that they did not build them .. then the basing anything on the logic in your post becomes quadruply meaningless

a reply to: jeep3r
Pi and Phi are numbers intrinsic to contructional geometry, you don't even need to know their values or definitions to "encode" them into a building project.
All you need to "work" with these numbers is a line of a fixed length, irrespective of the unit measure in use.
Fix one end of the line and it become a radius of a circle swing that circle and the circumference is related to the radius by pi , pi*D=circumference, its that simple. There are ~ 3.14159 diameter lengths in a circle of radius r.
Phi is another number built into constructional geometry.
Take the same line of fixed length and draw a square, now draw a line between opposite legs of the square , at the halfway point of those legs, and swing that diagonal down to make a base of a rectangle.

That rectangle now has sides whose ratio is phi.
And when you subtract the area of the square from the area of the rectangle, the smaller rectangle that is left has the same proportions. And when you for that same process on the next rectangle and the next and so on you have the basis for an Fibonacci spiral.
Seeing as how the Egyptian architects worked with a straight edge and compass and a line of a fixed length, of course you will find these ratios all over the place , it's just what happens when you use simple tool to draw.

originally posted by: Segenam

originally posted by: Marduk
the Egyptians didn't use the metric system so your numbers are meaningless, so basing anything on them is doubly meaningles

thats 'assuming' it was the egyptians who built the pyramids ...
If it were to become apparent at some point, that they did not build them .. then the basing anything on the logic in your post becomes quadruply meaningless

lol, its not an assumption unless you really haven't studied anything. You want aliens or a lost race involved then you have been reading books written by journalists, most people who want to study a culture read books written by experts on that culture
And even if someone else built them, they would not have been using the metric system

The metric system is an internationally agreed decimal system of measurement. It was originally based on the mètre des Archives and the kilogramme des Archives introduced by the First French Republic in 1799

unless you're proposing time travel.

originally posted by: 3NL1GHT3N3D1. Ever heard of the Library of Alexandria? For all we know it contained information that we are only now rediscovering.

.

The library was burned by accident by Julius Caesar, not by someone covering up anything
I'd love to know what you think happened because using it as an example of a conspiracy tells me you don't know much about it at all. Feel free to do a little research

originally posted by: PhotonEffect
Yes, and I'll give you one guess where the ancient Greeks got their math from.

.

Was it Chaldea, you know, the same place they got all their astrology, astronomy and pretty much everything else from ?

Since the rediscovery of the Babylonian civilization, it has become apparent that Greek and Hellenistic mathematicians and astronomers, and in particular Hipparchus, borrowed greatly from the Babylonians.

Hipparchus of Nicaea (c. 190 – c. 120 BC), was a Greek astronomer, geographer, and mathematician. He is considered the founder of trigonometry

As for Pythagoras

Twenty-two years Pythagoras remained in Egypt, pursuing closely his investigations, visiting every place famous for its teachings, every person celebrated for wisdom. Astronomy and geometry he especially studied and he was thoroughly initiated in all the mysteries of the gods, till, having been taken captive by the soldiers of Cambyses, he was carried to Babylon. Here the Magi instructed him in their venerable knowledge and he arrived at the summit of arithmetic, music and other disciplines. After twelve years he returned to Samos, being then about fifty-six years of age.

a reply to: Marduk

That's what the official story is, "by accident". Either way, a lot of knowledge was lost when it burned down, possibly even knowledge we have yet to rediscover.

The ancients were very smart, if not smarter than we are today.

I wonder if all these dimensions have anything to do with function of the GP. Theories on it being used to produce electromagnetic enhancement of the radiation belts have been spoken of in books and documentaries. Resonating frequencies caused by water being diverted into the GC from the river, and causing sound waves to generate effects, and things of that nature.. That was recently on a NASA documentary. (I think)

originally posted by: NoCorruptionAllowed
I wonder if all these dimensions have anything to do with function of the GP. )

Yes, I expect it had a lot to do with the size of the stone sarcophagus that was found in the centre of it

originally posted by: 3NL1GHT3N3D1
a reply to: Marduk

That's what the official story is, "by accident". Either way, a lot of knowledge was lost when it burned down, possibly even knowledge we have yet to rediscover.

The ancients were very smart, if not smarter than we are today.

Yup, you didn't bother to research it did you,
So it wasn't burned to cover up anything then, like you claimed earlier ?
read this www.bede.org.uk...