The proof i am presenting in this thread shows without any doubt (in my mind at least) the builders of the Great Pyramid had access to a modern day
computer.
Some facts to know first. The pyramids actual height in ancient times was 146.64 metres. The capstone which fitted on top the great pyramind in
ancient times is no longer there; so todays height is 138.8 metres. The height dimension i am working with will be the original height 146.64
metres.
The other dimension i am working with is the length of the sides. The lengths of side is 230.25 metres.
The dimensions of the the great pyramid are shown in the diagram below. The diagram shows also the equivalent measurements in feet. The source i am
using for the measurements of Great Pyramind is Wiki.
Now im going to perform some mathematics. I am dividing the height of the pyramid by the length of side. It doesnt matter if feet or metres are used
as the result will be a ratio value which has no units of measurement.
Therefore the height of the pyramid divided by its length of side is 146.64/230.25 = 0.63687
Now what i am going to do is use the scientfic calculator from the menu bar on my computer and use the Tan and TanH functions.
I will take the value 0.63687 and carry out 10 sequential operations in sequence
Tan, TanH, Tan, Tan, TanH, Tan, Tan, TanH, Tan, Tan
The image above shows the dimensions of the great pyramid and also under it is the scientific calculator i am using from my windows menu bar.
The number which is calcuated out is 3.1415547 multipled by exponential e-13.
Now if i clear my calculator and press the Pi (π) symbol gives 3.14159265359. The Pi number π is a mathematical constant that is the ratio of a
circle's circumference to its diameter, and is approximately equal to 3.14159.
This accuracy of calcuating the value of Pi starting from a ratio of the pyramid dimensions may seem coincidental at first glance but consider the
following points:
Point 1:
The plot of of Tanh is below, and was done using a Mathematical engineering tool called Matlab
MATLAB (matrix laboratory) is a numerical computing environment and fourth-generation programming language. Developed by MathWorks, MATLAB allows
matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written
in other languages, including C, C++, Java, and Fortran.
en.wikipedia.org...
The Matlab tool allows to carry out a Hyperbolic plot of the Hyperbolic tangent of
x = tanh x = (ex - e-x)/(ex + e-x)
In laymans terms this plot is a graph of Tanh. The plot of Tanh(x) is zero for x = 0, and tends to 1 as x tends to infinity and to -1 as x tends to
minus infinity.
Point 2:
In the calculation performed on my scientific calculator a repetitive sequence is seen in the sequnce Tan, TanH, Tan, Tan, TanH, Tan, Tan, TanH, Tan,
Tan. Its a repetitive sequence of Tan, Tanh, Tan. Exactly 10 calculations of this pattern leads to 3.1415547... multipled by exponential e-13.
Point 3:
The number e is an important mathematical constant, approximately equal to 2.71828. It is the limit of (1 + 1/n)n as n approaches infinity. In laymans
terms e is useful number for defining Hyperbolic expressions. The calcuated number is expressed as a multiple of e and therefore the ancients must of
understood the defintion of the value e.
Point 4:
Accuracy, after 10 repetitive mathematical operations following the repetitive sequence of Tan, Tanh, Tan the number which is calcuated out is
3.1415547. This caluculated value is precisely accurate to 4 decimal points with the Pi symbol π calculated on the scientific calculator of my
computer 3.14159265359.
The
complexity of the calculation can only be done by a computer as the resultant value 3.1415547 is multiplied by e-13, and which to give
you an idea how complex this is
e-13 = 1/e multiplied by 1/e......keep doing this calculation 13 times.
Point 5:
The value of Pi being calculated out after 10 repetitive sequences and multipled by exponential e-13, indicates the ancients used a base 10 counting
system as we do today.
Point 6:
The ancient builders must of known Pi number π is a mathematical constant that is the ratio of a circle's circumference to its diameter, and is
approximately equal to 3.14159.
In Summary
In considering the points above its obvious to me the ancient builders determined the dimensions of the pyramids, with accurate knowledge and
understanding of Pi number π , number e, Hyperbolic tangent of x = tanh x = (ex - e-x)/(ex + e-x).
They also understood the base 10 counting sequence, and had comparable computing power to what we have access to today to perform complex mathematical
calculations to an accuracy of (1/e multiplied by 1/e......keep doing this calculation) 13 times producing final value of accuracy to within 4
decimal points 3.1415.
What is your opinion of this? Do you really believe the main steam ideas of how the Great pyramid was built?
Do you agree this evidence here is quite conclusive in showing that the builders had access to the same level or better of mathematical knowledge and
computing power we have today?
edit on 1-3-2013 by AthlonSavage because: (no reason given)