|There is no doubt that the ancient Egyptians were intrigued by the height of the Entrance from the base of
the Pyramid. For some reason the value 55.6898 was extremely important to them. It is used throughout the
interior. This dimension was very important to the Egyptians, but what does it mean?
The person that designed the Pyramid had to be extremely intelligent. He introduced the twelve to one ratio
that allows the design to function and he also knew about the qualities of the 1.618033 to 8.618033 ratios
that take the pyramid to its peak. He made abundant use of ratios and multiples of the Entrance
height. He also used the base to the Entrance dimension throughout the Pyramid interior. He made all
the ratios and dimensions work together. Why this was done we may never know, but it was and it
Invoked the 12:1 ratio to create the Pyramid exterior and interior dimensions.
Split the height, the base and the slant height into sections using 1.618033 to 8.618033.
Used ratios in the interior passageway system.
Used the Entrance to base vertical dimension and the Entrance to base angular dimension throughout the
interior passageway system.
The Great Pyramid of Giza has always been a source of mystery. Experts from all over the world have studied the
greatest structure ever built. Many people have claimed to solve the design of the world’s greatest mystery but no
one has been successful. It has been connected with the earth, the sun, the moon, the stars, space, and even
The mathematics involved in the construction has been deemed by experts to be too advanced for modern man to
understand. This is not true. The mathematics used in the design of the Pyramid is well within the capabilities of any
mathematician, Egyptian or Modern. This will be shown in this article.
Everyone, no one excepted, forgot about simplicity. Designing ‘simply’ was what the architect did. His methods in
designing the structure were simple but they were wise and ingenious.
Note: The key to the Pyramid design is the ratio 12:1. This ratio generates the exterior dimensions, the interior
dimensions, and the entrance height of the Pyramid. This is the secret of the Pyramid mathematics.
Using this Design the angles of the Descending and Ascending passageways are 26.565º and 26.565ºrespectively, at
this stage the bottom of the Great Step is not in the calculations. The Design follows the interior passages to the top
of the Great Step.
The Design angle of the Slant Sides is 51.776º.
Three reference points are used:
1) The Entrance floor height from the base.
2) The Queen’s chamber floor level height from the base.
3) The King’s chamber floor level from the base.
The text and prints in this article will show how every measurement in the Pyramid followed an exact plan and how
the builders managed to obtain accuracy and remain close to this Design, a design similar to the one that they must
have used to accomplish their enormous task.
Every dimension has been calculated to eight places after the point and reduced to four in the prints, for the sake of
accuracy. Angles are accurate to three places after the point. No dimension had digits ‘put in’ to make things work.
The most surprising find in this exercise was the fact that the Entrance floor level height from the base interacts
with every vertical and horizontal interior dimension. This is a very important dimension and its value is 55.6898, it
generates the interior and exterior dimensions accurately.
Inspect a triangle, let’s say 2.5 X 1.25. (Two to one ratio)
The dimension 2.5 is a multiple of the Entrance door height 2.5 X 55.7927 = 139.2245.
The value 1.25 is also a multiple of the Entrance door height 1.25 X 55.7927 = 69.6122.
When you have studied the drawings and you become familiar with the dimensions your perception of the ancient
designers will change forever.
Please use the information supplied, plot it and enjoy, find out that the Great Pyramid dimensions have finally been
Copyright © 2012 [William McMaster]. All Rights Reserved.
An Exercise to show that the Great Pyramid of Giza was designed using Ratios.
The base of the Pyramid in this exercise is 756 (500 cubits X 18.144”). The half base is 378.
The Rules as applied to the Pyramid Design
1) The 12:1 ratio generates the height of the Pyramid, the slant height and the entrance floor height.
2) All interior angular and vertical dimensions originate from the Pyramid base.
3) Ratios apply to all interior horizontal and interior angular dimensions.
4) All horizontal and vertical dimensions are multiples of the Entrance floor height 55.6898.
Using these rules the Pyramid has a height of 479.94 a slant height of 611.9226 and a half base of 378.
If the base is deemed to be incorrect then a 12:1 ratio has to be constructed for the new base. Every dimension ratio
will remain in the same proportion.
The first very important find is the ratio 12:1 that positions the Entrance height from the base. (668.2776 : 55.6898).
The distance from the Entrance floor level height to the South face at the same height is 668.2776, exactly twelve
times the door height of 55.6898. Once this ratio was in place all other dimensions can proceed. Since this exercise
only uses the north cross section of the Pyramid this ratio will be 334.1388 : 55.5898 a ratio of six to one. Sir Flinders
Petrie had the height of the entrance correct, he had 668.2”, very close indeed but he missed the 12:1 connection.
Maybe if he had a computer?
One more point on the 12:1 ratio. The Ascending passage passes through the half base (6:1) ratio centre of 334.1388
The base half length in this exercise is taken as 378and the ratio is 6:1. If you have another dimension that you
would prefer to use then construct a 12:1 ratio for that length. All other dimensions will of course change but will still
be in proportion.
Construct the Design using the prints.
|QUESTIONS TO BE ANSWERED
What is the height of the Great Pyramid of Giza
What are the Pyramid of Giza entrance dimensions
What is the slant height of the Great Pyramid of Giza
What is the length of the base of the Great Pyramid of Giza
What are the interior dimensions of the Great Pyramid of Giza
What are the measurements of the Great Pyramid of Giza
What are the dimensions of the Great Pyramid of Giza
What is the height of the Great Pyramid entrance
What is the angle of the Great Pyramid of Giza
How old is the Great Pyramid of Giza
The Great Pyramid of Giza
|This article proves that the distance from the Pyramid base to the Entrance floor level is the value
that is essential to the construction of the Ratios that built the Pyramid interior passageways in
both the horizontal and vertical directions. This length is 55.6898.
This article proves that the Descending Passageway and the Ascending Passageway are both
constructed using the length of the Descending Passageway as the mathematical base to
construct each angle length. This length is 124.5262.
|The Great Pyramid of Giza
|RATIOS Built The Great Pyramid
|The ratios shown constitute the only true mathematical
|system found in the Great Pyramid.
| SIMPLE EFFECTIVE MATHEMATICS.
NO pi NO phi NO aliens.
ONLY SIMPLICITY, ENGINEERING SKILLS, AND INGENUITY.
THE SECRET OF THE GREAT PYRAMID IS THE ENTRANCE HEIGHT.