The Giza Plateau


The location of the Sphinx is related to the golden ratio (phi), as seen below.





The angle of the causeway of Khafre is related to the angle of the squared circle (pi), as seen below marked in green.





The Giza Pyramids

The three Great Pyramids Khufu/Cheops, Khafre/Chephren and Menkaure/Mykerinos, each seem to contain a mathematic





The Khafre Pyramid


The middle pyramid has the ratios 3/4/5 and for the egyptians and pythagoreans, was probably the most important triangle.


I think this is because it points to this amazing cosmic identity.



Which we can use instead of pythagoras theorem to calculate the lengths of a triangle, as shown below.



Because of this I will assume that the height of the Khafre pyramid relates to the number (2), and use this as a key into the geometry of the other pyramids.


The Menkaure Pyramid


The little pyramid has the ratios 1/√ϕ/ϕ which are the same as the great pyramid of Khufu. So, in essense they represent the same triangle as they have the same angles.


The Khufu Pyramid


The great pyramid has the ratios 1/√ϕ/ϕ and is the most interesting pyramid, with many complex shafts and passages. Is related to the squared circle (pi), as seen below. The perimeter of the black square is equal to the circumference of the red circle.





The shafts on the left, mark the angles of the squared circle (causeway of Khafre), where the square and circle cross and the shafts on the right mark different angles, converging at the radius of the red circle.

Is Giza a Mathematical Proof


Assuming the height of the Khafre pyramid relates to the number (2), and using the mathematics of the cosmic identity.



Please note: In the numbers above I am using what I believe is the true value of pi, see my proof for more information.


The following two cosmic triangles, we find in the squared circle.




8/π = (4/π+π/4) + (4/π-π/4) and π/2 = (4/π+π/4) - (4/π-π/4)


Comparing the pyramid (Khufu and Menkaure) triangles with the blue cosmic triangle, we can see that in essense they represent the same triangle and have the same angles.




Why use your brain when you dont have to, the alternate version of (4π)/(16+π²) is 1/(4/π+π/4) and the alternate version of (16+π²)/(8π) is (2/π+π/8), which we can see is related to the angle of the red cosmic triangle.




The angle of the red cosmic triangle represents the causeway of Khafre and also the causeway of Khufu.




The measurments of the pyramids

When trying to find actual measurements, we find many varied numbers, so it is impossible to be 100% accurate. Lets see how close the measurments are to the numbers.


In Feet, Menkaure (226, 178, 288), Khafre (472, 354, 590), Khufu (480, 378, 611)


Again, assuming the height of the Khafre pyramid relates to the number (2), we can divide the numbers by half the height of Khafre (472/2 = 236), to get the ratios.


Menkaure (226/236, 178/236, 288/236), Khafre (472/236, 354/236, 590/236), Khufu (480/236, 378/236, 611/236)


226/236 = 0.958 compared to A₁ = 0.971 (99% accurate)
178/236 = 0.754 compared to B₁ = 0.763 (99% accurate)
288/236 = 1.220 compared to C₁ = 1.236 (99% accurate)
472/236 = 2 compared to A₂ = 2 (100% accurate)
354/236 = 1.5 compared to B₂ = 1.5 (100% accurate)
590/236 = 2.5 compared to C₂ = 2.5 (100% accurate)
480/236 = 2.033 compared to A₃ = 2.058 (99% accurate)
378/236 = 1.601 compared to B₃ = 1.618 (99% accurate)
611/236 = 2.589 compared to C₃ = 2.618 (99% accurate)


I am happy with these results. To be continued...

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