The Mathematics of the Great Pyramid


The Subterranean Chamber

The Subterranean Chamber, variously called the Chamber of Ordeal, Chamber of Central Fire and Chamber of Chaos, is the largest chamber in the pyramid and the most unfinished, or at least looks the most unfinished. Like the last two thirds of the Descending Passage and Subterranean Passage it is carved out of the solid rock upon which the pyramid sits.

The floor is totally irregular, slopping upwards from about the middle of the “floor” of the chamber to about 10 inches from the ceiling at the western wall. If anything, the floor looks like a 3D topographical map with hills and valleys replete with trenches that could be considered rivers. Its practically a miracle that the ceiling and the 10 inches of the western wall could have been carved at all in such cramped quarters.  The eastern part of the floor has no resemblance to a real floor at all and has a large pit cut into the floors with walls on a diagonal to the chamber walls, which are the only such diagonal in the pyramid. Although the walls and ceiling are not dressed down and are neither flat nor straight, its corners are comparatively sharp. The length of each side is not the same as its opposite. One enters from the lower north-east corner and immediately steps down to an unleveled area. When entering the Dead End Passage opposite in the lower south-east corner one has to step up to a height that is lower than the Subterranean Passage floor by 38.19660103 inches, the square of 6.18033988.
It is a widely held view that the chamber was a mistake, or a change in the plan and was abandoned and left in an unfinished state. However, the ceiling and western wall could easily have been finished by the removal of the great mound that is the floor. The Dead End Passage, clearly the most difficult of all the passages and chambers to create, wouldn’t have been completed, or even started if the chamber itself wasn’t finished. It is the contention of this study that, like everyother aspect of the pyramid which was planed to the very last detail, it is not unfinished, but that the unfinished look of it is the intended finish and is symbolic.

The dimension of the eastern wall which is a continuation of the passage wall is 325.79921 inches. Because of the difficulty in carving the western wall due to the limited space to work in, the western wall is taken to be the same measurement even though it isn’t. The same is true for the north and south wall which were intended to be 553.144751 inches. The perimeter measures is 1757.887922 inches, which, when squared, is half the Golden Proportion, 3090169.946.  Twice around the perimeter is 3515.775842 inches and whose square is 12360679.7, a thousand times the Kings Chamber perimeter. It is an important pyramid number and is encountered again in the Subterranean Chamber,and elsewhere in the pyramid. 1.23606797 is the square root of 5 minus 1, and divided by 2 is .618033988, the Golden Proportion.

The first height measurement encountered is the distance from the ceiling of the passage to the ceiling of the chamber. This measures 86.60254038 inches(square root of 7500) which, times 10000, is the diameter, in miles, of the Sun in the idealized plan of the Sun, Moon and Earth, and half of 173.2050808 (square root of 3), as well as being the altitude of the triangle in the Great Pyramid’s circle. It is also important because times 1000 it is the length of the total route to the east west center in the Kings Chamber.

   From the floor of the Subterranean Passage to the Subterranean Chamber ceiling is 123.606797 inches, the second use of the square root of 5 minus 1. From the ceiling of the chamber to the floor of the Dead End Passage measures 161.8033988 inches (Golden Proportion plus 1 times 100). From the ceiling of the Dead End Passage to the ceiling of the Subterranean Passage is 46.06553368 inches (square of 6.787159471 the ratio between Third Line and Fifth Line and, times a 1000, is the measure of Fifth Line in the Great Pyramid’s circle). From the floor of Dead End Passage to the floor of the Subterranean Passage is 38.1966018 inches (the smaller part of 1 when cut at the Golden Proportion, the square of 1.618033988 and the inverse of .026128033988. The ceiling to ceiling and floor to floor of the two passages overlap, blending the Golden Proportion with the pentagon’s symbol of man.      

 From the Subterranean Passage ceiling to the designed floor of the chamber is the same measurement as above it, 86.60254083 inches, which makes 173.2050808 inches,(100 times the square root of 3, the symbol of the third dimension), the total intended height, illustrating the cosmic principle, “as above, so below”.  This is also the intended height of the Queen’s Chamber. In the case of the Queen’s Chamber the floor was left too low and in the Subterranean Chamber the floor was left both too high and too low.            

The floor of the Subterranean Passage is 1184.228613 inches below the pyramid’s base, but the more important measurement is from the floor of the passage to the junction of the Descending and Ascending passages. This is 1357.431894 inches, which is 2 times 678.7159471 (one side of pentagon in the Great Pyramid’s circle divided by 10). 678.159471 inches is also the vertical distance between the Descending and Ascending passage junction and the next level in the pyramid, the junction between the Ascending Passage, the Grand Gallery, the Well shaft and the Queen’s Chamber Passage. The height of the Grand Gallery is 339.3579736inches, half of 678.7159471                                                              

The Dead End Passage is just that. It is a very tight squeeze that leads nowhere, ending abruptly 645.4972243 inches from its beginning. This number is 1.118033988 times the pyramid’s height-radius divided by 10 and is the specific part of the circle-square that squares the circle if the pyramid’s base perimeter measured 36514.83716 inches, the Third Line to First Line ratio in the square root of 10 world as noted in the section on Fourth Line. The Dead End Passage, the start of another passage at the western wall, and the pit in the Subterranean Chamber could be considered to be ways out of the subterranean mess, none of which is a solution.    

The heights for both lower passages are dictated by the principal numbers of the chamber, instead of the other way around. The Subterranean Passage measures 37.00425662 inches and the Dead End Passage, 29.135325 inches, neither of which have intrinsic value as do other passages in the pyramid.

So in spite of the way the chamber was executed, there is a solid design underneath it that features the Golden Proportion, the symbol of humankind (one side of the pentagon), the idealized diameter of the sun, the symbol for the volume of the third dimension, and a shorter version of the sum of angled passages, all arrived at by traversing the ratio for Fourth Line to First Line, the portal to the third dimension. It could easily represent the material world and what we humans have done to the home we have for our three dimensional form, and - or, the home for the spirit half of our form. A beautiful design, with a lot going for it except the execution.          

 Before leaving the chamber and ascending to the upper chambers, there are two composite horizontal measurements the need to be considered. Both are close to important numbers that make sense to the overall concept being expressed but don’t quite work out. One is too short and the other too long, so that no amount of adjusting will allow for both to be reality. The first one is the distance from the pyramid entrance down to the end of the Dead End Passage and back up to the middle of the Well of Life Shaft entrance on the passage floor. This is 7069.544678 inches, 1.5231342 short of 7071.067812, the inverse of the square root of 2, both of which are numbers of transformation, which is what the Great Pyramid is all about. This difference as a number is but .05 short of 1523.133846 inches, the length of the Queens Chamber Passage. But since all of the measurements that make up the composite numbers are absolutes, nothing can be adjusted to make this work out. Another way to look at it is to accept that this route is just not the way to transformation.

The second measurement is the best illustration of why the difference between what is and what it looks like it should be, being an important number in its own right. This other number is the distance from the south end of the Well Shaft entrance dropped vertically on the floor of the Descending Passage, all the way to the end of the Dead End Passage and then back to the same point. The one way measurement is 1582.539869 inches. This is 1.4010389 inches greater than 1581.13883 (the square root of 2500000. The measurement of the Radius-Sixth Line in a circle with a circumference of 1 is .158113883 and its Diameter-Second Line is .316227766 the square root of .1. Including the return trip the overall measurement is 3165.079738, 2.802517098 inches greater than 3162.27766, pi, (First Line to Second Line ratio) in the world according to the square root of 10.

The inverse of 2.802517098, times 10000 is 3568.220893, the golden proportion of the pyramids height of 5773.502692 inches as well as being one side of the pyramid circle’s decagon.  2802.517098 times the square root of 3 is 4534.567888,the length of the base of the pyramid’s west side. .2802517098 is an eighth part of 3.62765431, the Third Line to First Line ratio in the golden proportioned world of 3.1416407891. The inverse of 2.205281792, the smaller part of the golden cut of the pyramid’s height, is the same 4534567888.

Now, there are many individual measurements that comprise the whole measurement, each of which is absolute and can’t be any other number. So for the excess of the overall measurement to be as significant a number as the Golden Proportion of an important ratio which is also the height of the Great Pyramid, can not be an accident. It illustrates the degree of planning that went into so poorly executed and seemingly insignificant  aspect of the pyramid that it is called a mistake.
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The symbolism of the two long measurements is a problem. One is short of the correct number for transformation and the other is too long to be the length of the diameter in a circle of one which is also an important pi number. And it is too long by the Golden Proportion of the ratio between Third Line (action principle) and Sixth Line ( knowing that the created is the same as its creator) which is also the height of the pyramid. If the Subterranean complex represents an unworkable way to be transformed through the material world, being short of what is needed for transformation makes sense, but having too much Golden Proportion doesn’t, because one can never have too much.

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