**PROPOSED SITE PLAN FOR THE THREE MAIN PYRAMIDS AT
GIZA**

**The baselength of the great pyramid is 440 cubits. The
following proposed design criteria for the size and relative locations of
the three main pyramids at Giza is based on the 433/250 fractional expression
of the square root of three. This is the lowest fraction in whole numbers
that expresses the square root of three ratio of 1.732/1 or 1732/1000:**

**1. A 250 cubit north-south distance between the great
pyramid and the second pyramid.**

**2. A 433 cubit east-west distance between the middle
of the great pyramid and the east side of the second pyramid. The distance
from the middle of the great pyramid to the west side of the great pyramid
is 220 cubits, leaving a distance of 213 cubits between the west side of the
great pyramid and the east side of the second pyramid.**

**3. The 213 cubit east-west distance between the great
pyramid and the second pyramid is equal to the mean of the half bases of the
great pyramid and the second pyramid. The half base of the great pyramid is
220 cubits. A baselength of 412 cubits for the second pyramid gives a half
base of 206 cubits:**

**220 + 206 = 426**

**426/2 = 213**

**4. A 433 cubit north-south distance between the second
pyramid and the third pyramid.**

**5. A 250 cubit east-west distance between the west side
of the second pyramid and the middle of the third pyramid.**

**6. The 152 cubit east-west distance between the second
pyramid and the third pyramid is equal to the mean of the half bases of the
second pyramid and the third pyramid. A baselength of 412 cubits for the second
pyramid gives a half base of 206 cubits and a baselength of 196 cubits for
the third pyramid gives a half base of 98 cubits:**

**206 + 98 = 304**

**304/2 = 152**

**Given the size of any one of the three pyramids, the
size of the other two pyramids and the relative locations of all three pyramids
are fixed by these design criteria alone.**

**Because the north-south spacing between the pyramids
is 250 cubits and 433 cubits, and the east-west spacing of 250 cubits and
433 cubits includes one half of the baselength of the great pyramid and one
half of the baselength of the third pyramid****, the line from
the middle of the south edge of the great pyramid to the middle of the north
edge of the third pyramid is a 45° diagonal. The other diagonal of the
square formed by the middle of the south edge of the great pyramid and the
middle of the north edge of the third pyramid exactly marks the diagonal of
the second pyramid.**

**The 45° diagonal rectangle above is formed by
the north-west corner of the great pyramid and the south-east corner of
the third pyramid. Based on the size and relative positions of the three
pyramids given in the previous diagrams, the midline of the diagonal rectangle
exactly marks the other diagonal of the second pyramid. The intersection
point of the diagonal of the square and the midline of the diagonal rectangle,
marking the apex of the second pyramid, is 859 cubits west and 896 cubits
south of the north-east corner of the great pyramid:**

**440 + 213 + 206 = 859**

**440 + 250 + 206 = 896**

**The lines drawn west from the apex of the great pyramid
and north from the apex of the second pyramid intersect 639 cubits west
of the apex of the great pyramid. The distance from the apex of the great
pyramid to the north-east corner of the second pyramid is also 639 cubits:**

**220 + 213 + 206 = 639**

**433² + 470²
= 639²**

**Arcing the intersection point of the lines west from
the apex of the great pyramid and north from the apex of the second pyramid
exactly marks the north-east corner of the second pyramid along the mid-line
of the diagonal rectangle. A circle with a radius from the apex of the second
pyramid to the north-east corner of the second pyramid marks the other corners
of the second pyramid along the diagonal of the square and the midline of
the diagonal rectangle.**

**The sidelengths of the rectangle formed by the apex
of the second pyramid and the apex of the third pyramid are 737 cubits north-south
and 456 cubits east-west. The ratio of the sidelengths is 737/456 = 1.61623,
slightly less than the φ
ratio of 1.61803. The sidelengths of the rectangle formed by the apex of
the great pyramid and the intersection point west of the apex of the second
pyramid and north of the apex of the third pyramid are 1095 cubits east-west
and 676 cubits north-south. The ratio of these sidelengths is 1095/676 =
1.61982, slightly greater than φ.
The average of the ratios of these two rectangles equals φ:**

**1.61623** + **1.61982 = 3.23605**

**3.23605/2 = 1.618025**

**According to Petrie's survey, the east-west distance
between the second pyramid and the third pyramid is 152 cubits. His measurement
of the north-south distance between the second pyramid and the third pyramid
was 429.5 cubits, based in part on his calculation of 201.5 cubits for the
baselength of the third pyramid. Petrie was unable to measure the north side
of the third pyramid because of debris around the pyramid, and he acknowledged
that the rough unfinished condition of the lower courses and the generally
dilapidated condition of the third pyramid made it difficult to determine
the intended length. Petrie based his determination of the dimensions of the
pyramid on various measurements of the height of the pyramid and the angle
of fragments of upper casing stones that were recovered from around the pyramid.
Unlike the lower courses, the casing of the upper courses had been finished,
although the casing of the upper courses is no longer on the pyramid. Measurements
of nine fragments of the upper casing indicated an angle of 51° 58' for
the slope of the pyramid. However, based on all of his measurements, Petrie
concluded that the intended angle was lower. Petrie also believed that the
granite portion of the outside of the pyramid rose to one quarter of the total
height of the pyramid and he believed that the measurement of this height
might be the best evidence of the intended total height of the pyramid. Combining
the angle of the pyramid from the finished upper casing fragments with a total
height based on the height of the granite portion of the pyramid results in
a baselength of approximately 196 cubits. Other modern published surveys of
the baselength of the third pyramid have also ranged from under 196 cubits
to over 200 cubits. Therefore, the 196 cubit baselength for the third pyramid
that is given here is within the range of modern published survey findings
for the intended baselength of the pyramid.**

**References:**

**John
Legon observed the ratio of 1.732/1 between the 433 cubit east-west distance
between the middle of the great pyramid and the east side of the second pyramid,
and the north-south distance of 250 cubits between the great pyramid and the
second pyramid.**

**Clive
Ross observed the 1/3 ratio between the east-west distances between the
pyramids and the east-west distances between the middle of the pyramids.**

**Chris
Tedder observed that the diagonal of a square formed by the mid points
of the south side of the great pyramid and the north side of the third pyramid
marks one of the diagonals of the second pyramid.**

**Robin Cook observed that the midline of a 45° diagonal
rectangle formed by the north-west corner of the great pyramid and the south-east
corner of the third pyramid marks the other diagonal of the second pyramid.
Cook also observed that the east-west distance between the apex of the great
pyramid and the apex of the second pyramid is equal to the distance from the
apex of the great pyramid to the north-east corner of the second pyramid.**