Mathematical Encoding in the Great Pyramid | Ancient Origins
Their mathematical and astronomical knowledge, and the . And he put the three pyramids in exactly the same relationship to the Nile Valley. Pi is the relationship between the radius of a circle and its circumference. The mathematical formula is: Circumference = 2 * pi * radius (C = 2. In addition to the relationships of the pyramid's geometry to phi and pi, This same relationship is shown on the Mathematics of Phi article.
Let's assume that the architect is equally likely to choose any of these possibilities. The probability is even higher if one assumes that the architect wants to make the angle rather steep.
The Great Pyramid of Giza a mathematically encoded structure
The scenario in the last example may actually be fairly close to the truth. It is strikingly supported by the measurements of a number of the pyramids built during the 4th dynasty.
Also, it is strongly suggested by what we know about Egyptian mathematics from the Rhind Papyrus - specifically, the fact that they used a system of measuring lengths in terms of "cubits," "palms," and "fingers. Thus one cubit is equal to 28 fingers, and that is where denominators dividing 28 would come from.
I will discuss this in more detail later, after reviewing the measurements of the pyramids from the 4th dynasty. Its name comes from the fact that the builders changed the angle of slant of the faces at some stage in the construction of that pyramid.
The lower portion is the steepest of all of these pyramids. It is possible that it was found to be too steep. Based on this, the inverse-slope of each face is. Lehner gives the angle of slant for each face as 53o10'00" - less steep than the Bent Pyramid, but steeper than the Great Pyramid, which was built by Khafre's father Khufu.
The inverse-slope of each face is then. Its base is rectangular, but not a perfect square. The lengths of the longest and shortest sides differ by more than 2 meters and so the slant-angles of the faces are not equal.
The Great Pyramid of Giza a mathematically encoded structure | Ancient Code
There are two angles of slant, the steepest of which is 51o49'38", quite close to the angle of slant for each face of the Great Pyramid. The above calculations are based, as I mentioned, on the data given in Lehner's book. I am not sure how reliable that data is. Additional measurements obtained by modern technology would be interesting.
Although the measurements of the above-mentioned pyramids seem to fit in very well with the pattern in example 5 i. The inverse-slope corresponding to that slant-angle is equal to 1.
If one multiplies that number by 28, the result is not close to an integer!
Mathematical Encoding in the Great Pyramid
That slant-angle may have been chosen in a different way, and one theory about this is discussed in my essay Slopes of the Egyptian Pyramids. The slant-angle of the other two less steep faces of the Pyramid of Menkaure also does not fit into the above pattern.
But that pyramid turns out to be quite an interesting example for the theory discussed in my essay. Now I will discuss the pyramid exercises from the Rhind Papyrus. This papyrus as well as the other extant mathematical papyri were written hundreds of years after the 4-th dynasty. One can ask how accurately they represent the mathematical knowledge of the architect who built the Great Pyramid. It is obvious that the architects undertaking the building of a pyramid would need a good mathematical knowledge of the geometry associated with such a structure, and one can indeed find this in these later papyri.
As an example, it would seem necessary to know in advance the quantity of stone that would need to be quarried, and this requires computing the volume of a pyramid. One of the extant mathematical papyri contains an example of such a computation, indicating that the Egyptians knew how to do this.
What we do know is that this effect was most certainly not incorporated by chance or mistake.
Mathematical Facts About The Great Pyramid - Handylore
From an engineering perspective, it most certainly would have been known to the builders and developed by choice, not by accident. There are other megalithic structures that incorporate the solstice effect into their design.
On the northwest corner of the pyramid it features a series of triangular shadows that evoke the appearance of a serpent wriggling down the staircase. Some scholars have suggested it is a representation of the feathered serpent god Kukulkan. Similarly, Newgrange in Ireland also allows the sun to shine directly along the long passage into the main chamber when it rises on the winter solstice. There are many more mathematical coincidences that can be explained and further investigated to better help unravel the mystery of the great pyramid, but one answer definetly remains certain: The Great Pyramid is most certainly more mathematically inclined than we can give ancient Egypt credit for.
These facts speak for themselves, and really we are just touching the tip of the iceberg. The amount of geo-mathematical and astronomical coincidences they have to offer is quite extensive. Such as, the famous Orion correlation theory.
Those who put a lid on these facts and label them as mere coincidences is the price we pay for the ignorance of that person's own self delusion. Whether they are a tenured professor, credited archeologist, or just a amateur student.
These are the same people who probably think the Great Pyramid served as a tomb. Consider the possibility that this was merely rediscovery. We are generally so accepting of the myth of linear progress that it is easy to forget that sometimes knowledge is lost and not rediscovered for a very long time, if ever. Another way of looking at the Great Pyramid is by analyzing its relative proportions. If the base measures unit length then a square with an equal unit edge can be drawn as shown below.
In addition to relative proportions, I wondered if the Great Pyramid might encode anything in absolute units? To find out, I drew its elevation in a computer aided design program in actual size, according to J. I rediscovered many layers of encoding in the Great Pyramid by taking its precise measure and looking for patterns.
If you inscribe an equilateral triangle inside, this is what immediately pops out: