Menkaure is the smallest
of the three main pyramids of the Giza Plateau and was never quite finished
off in the initial stage of construction. Perhaps it was the creeping aridity
enveloping Egypt that caused Menkaure Pyramid's builders and architects to
abandon the structure prior to completion. Evidence suggests that the Giza
Plateau and greater Egypt were in decline as a preferred place to live by
5000-4000 BC and the long-term inhabitants were looking for fresher, more
verdant terrain to establish new homes and civilisations.
The bulk of Egypt's population headed into the wide plenteous, territories
of Western Europe. Others set up way-mark trails toward China and Korea and
yet others to the distant colonies scattered around the globe.
The melange of peoples who stayed on in Egypt attempted, at some stage, to
complete a small upper section of Menkaure Pyramid using mud bricks, but they
were unable to sustain the effort as per the intended design specifications.
This small, second stage, inferior top section was rounded off and fell 8.5
feet short of the original architectural design.
Modern archaeologists,
assessing Menkaure, have not always taken into account that the edifice never
achieved its design height and make the mistake of computing its side angle
based upon this diminished height factor. Here are the original, intended
lengths and angles:
Figure 2: Menkaure
Pyramid is an ingenious code-carrying repository and, despite its lesser dimensions,
in comparison to the Great Pyramid or Khafre, is equally sophisticated. Its
primary role was to code PHI, the Sabbatical Calendar cycle, the 18.613-year
nutation cycle of the moon and the 11.52-code in its pyr. acreage value.
The official dimensions
given for Menkaure Pyramid are:
1. Base length average
= 356.5 feet.
2. Height (to the top of the inferior, apex brickwork that was added at
a late epoch) = 217.86 feet.
3. Official face angle = 50.71-degrees.
As stated, the official
face angle is arrived at, by subjecting 1/2 the base length and the height
factor to trigonometric calculation. This approach, however, does not take
into account the fact that the pyramid was never properly completed.
As always, the ancient people set out these magnificent structures to contain
specialised information and the close proximity values found in the Menkaure
Pyramid dimensions help us to quickly identify the intended codes and finalised
dimensions. By comparative analysis to other sites or by reference to the
most used and repeated numbers of antiquity, these conclusions are supported
and validated.
1. We already know that
the numerical value of 51.84 was highly important to this civilisation. The
official angle hovers close to 51 degrees and it is accepted, in archaeological
circles, that the pyramid was never properly completed. As stated, someone
tried to finish the small residual apex shortfall later, but could not duplicate
the finesse of former artisans, quality of product or geometric precision.
2. One site, which is
very close in concept to the Menkaure Pyramid, is Stonehenge. One could easily
conclude that the intended codes of the incomplete Menkaure Pyramid were taken
to Southern England and incorporated directly into Stonehenge.
3. The more important
circles of Stonehenge are PHI increases or decreases of the Aubrey Circle
(with a diameter of 288 feet). Therefore, markers on the Avenue indicate the
limits of a PHI increased circle, with a diameter of 465.9937632 feet (172.8
Megalithic Yards).
4. If the Aubrey Circle
is decreased by PHI then the result is "Y" Holes (288 ÷ 1.6180339 =
177.9937985 feet...178 feet...66 Megalithic Yards). A PHI decrease on "Y"
Holes gives the diameter of the Sarsen Circle outer rim.
5. Therefore, PHI, 288
and 178 are shown to be very important to Stonehenge, as well as 51.84-degrees
azimuth, which is coded into the southwestern side of the heel stone, relative
to a vector from site centre.
6. If the diameter of
"Y" Holes at Stonehenge were doubled, the result would be 355.987597 feet,
which would be visually detectable as 356 feet. This length is 132 Megalithic
Yards. It will be recalled that the altar atop the Great Pyramid would have
had a square footage side value of 132 sq. ft. per side (3' X 44'). The 132-code
related to the "mile" measurement of 5280 feet and the perimeter value of
the Menkaure Pyramid hints very strongly at a PHI related geodetic system
based on PHI miles.
7. The compromised rounding
out of the top apex section tells us that the intended angle must have been
slightly in excess of 51-degrees and the best option would be to surmise a
repeat of what transpired on the Great Pyramid. On that edifice two marginally
different face angles were coded into the structure, although the literal
one was 51.84-degrees. The other angle was a slight variation off 51.84-degrees,
which was generated by a PHI formula...1/2 the base length X PHI to produce
4 diagonal face lines, which resolved vertically above the mid-point of the
pyramid. When analysed, it was found that the PHI generated angle produced
a side diagonal length that was only 2 inches less than one produced by a
51.84-degree angle. All the evidence would suggest that a similar method was
applied to Menkaure Pyramid and that the side angle and face length to the
apex was produced by the PHI formula.
8. The way to understand
what was required by the architectural designers of Menkaure's angle and face
length was is to look at what happened at Stonehenge in the PHI relationship
between "Y" Holes and the Aubrey Circle. By applying the PHI formula of 1/2
the Menkaure base length X PHI...we get, 177.9937985 feet (178 feet...the
same diameter as "Y" Holes) X PHI = 288 feet (the diameter of the Aubrey Circle).
9. This approach to configuring
Menkaure Pyramid on a PHI generated angle of almost 51.83-degrees, also produces
the sought after Pyramid acreage code. Therefore, 178 feet X 288 feet = 1.78
pyr. acres per side X 4 sides = 7.12 pyr. acres of 28800 sq, ft each. The
base acreage is 356 feet X 356 feet = 4.4 pyr. acres...bringing the total
pyramid acreage to 11.52.
10. The vertical height
of Menkaure was 84 MY (226.524746 feet) and this related directly to the size
of the Earth. Under the PHI assignment of the Great Pyramid, the ring of the
Earth was found by the formula: The vertical height (453.049492 feet...168
Megalithic Yards) ÷ 1/2 the length of the altar (22 feet) = 20.59315873
(this length in inches was the PHI mnemonic rod...now called the Dynastic
Egyptian Royal Cubit) X 1200 = 24,711.79047 (read as miles). Let's see how
the vertical height of Menkaure Pyramid relates to this.
11. 24,711.79047 miles
(X 5280) = 130,478,253.7 feet...÷ 226.524746 feet (84 MY) = 576000.
Therefore the height of the Menkaure Pyramid was 1/576000th of the ring of
the Earth or 1/1600th of 1 degree of arc under the PHI geodetic system. Alternatively,
the height of Khafre Pyramid was 1/768th of 1 degree of arc under the sexagesimal
geodetic assignment (768 is 1/3rd of 2304).
12. The coding of the
Menkaure Pyramid's base length would also have included a "rounded PHI" measurement
using a 1.62 feet increment. Under such circumstances the symbolic length
along the base would be read as 220 rounded PHI feet per side and the side
length as 356.4 feet. This means that the base perimeter would comply to the
"11" series measurement increments like the fathom (5.5 feet), with exactly
259.2 (Precession increment) fathoms around the base perimeter. Likewise there
would be 86.4 (Sun diameter increment) rods/ perches. There would be 21.6
(Moon diameter increment) chains. This also means that the base perimeter
would be 2160 links (of 7.92 inches each) and if each link represented a mile,
then this would code the 2160 mile diameter of the Moon. These "11" series
increments, like the fathom or furlong, were much used in Great Britain up
until recent history. It's altogether possible that Menkaure Pyramid was built
to an exact "link" or "fathom" increment, as this would be an easy measurement
to work with. In consideration of the official length being averaged to 356.5
feet, the 356.4 feet produced by the "fathom" method is enticingly close.
13. It is inconceivable
that the designers of Menkaure Pyramid could have gotten this close to a raft
of dynamic codes by chance without knowing the codes. The forgoing analysis
obviously describes what the design intention was. The totality of codes chosen
point toward Menkaure Pyramid being of particular importance to Stonehenge,
inasmuch as two of Stonehenge's primary circles are found by exactly the same
mathematical formula and achieve the exact same values as 1/2 Menkaure's base
length ("Y" holes) or its side diagonal length (Aubrey Circle).
Other Stonehenge circles, like the Sarsen Circle, are simply PHI reduced expressions
of the Menkaure side and base values. The Sarsen circle outer rim circumference,
at 345.6 feet, is also 11.52 inches per degree of arc or 11.52 feet per lintel
face, reminiscent of Menkaure's acre code.
Organised, functioning
society needs to work to schedules in order to maintain an efficient, cohesive
identity. It needs nationally observed holidays (holy days or Sabbaths), festival
days, specific times for planting and harvesting, as well as nationwide, regulated
custom and practice.
This is why we must have calendar systems, as the prospects for civilisation
without calendars is negligible.
One of the foremost calendar systems of antiquity was the Sabbatical system,
used by the Israelites and mentioned in the Bible.
Unfortunately, some portions of the system were lost or supplanted by the
enforced imposition of other systems, instituted by Israel's many conquerors.
Vestiges of the Sabbatical calendar system seemed to persist amongst the inhabitants
of ancient Britain, who worked to a 13-month year. The same, highly functional
system appears to be coded into the base measurements of Menkaure Pyramid
under a standard, whole foot, symbolic assignment. Again, a parallel can be
drawn between what happened on the Menkaure Pyramid and the 56-post positions
of the Aubrey circle at Stonehenge.
1. The official figure
related to Menkaure's base length hovers very close to 356.5 feet. If in
fact this was read as 357 feet, then it would represent a perfect septimal
number and be suitable for calibrating the Sabbatical Calendar system. Under
that system the 7th day was the Sabbath, the 7th month was a Sabbatical
month, the 7th year was the Sabbatical Year and 7 X 7 Sabbatical Years was
very important, as all final corrections and details of society were completed
in that year. The prescribed goal was to enter into the 50th or Jubilee
Year with debts paid or forgiven, the land rested and rejuvenated and the
calendar precisely corrected and running true. Although total cleansing
and renewal was of greatest importance in the 49th year, it also occurred
during each Sabbatical (7th) Year.
2. Under the Sabbatical
calendar system, every 7th day was the Sabbath and there was no change to
this condition until the end of 7 years. The duration of 1 year was set
to 13 months of 28 days each, culminating in an annual count of 364 days.
3. It was recognised
by the priest/ mathematicians that an error approximating 1.25 days was
accumulating with the passage of each year and by the end of the 7th or
Sabbatical Year the error in the calendar had grown to 8.75 days, based
upon the 365.25 day, "Sirius or Sothic" year. During that 7-year period
farmers could adjust planting schedules by a day or two, so there was minimal
disruption to the important chores or fluid maintenance of timed events.
4. At the end of the
7th or Sabbatical Year there would be an 8-day festival, wherein 8 intercalary
days would be added to the calendar. This meant that the new cycle of Sabbatical
Years began with a .75-day deficit, which continued to accrue until the
end of the 49th year. The festival leading into the Jubilee Year lasted
for 13 days instead of 8 and the theoretical degree of error left in the
calendar was less than 4 hours.
The above explanation
outlines the mathematical basis of the Sabbatical cycle system that would
be taught to initiates in the "Schools of Learning". Some groups might have
disposed of the .75 of a day deficit at the Vernal or Autumn equinoxes of
each Sabbatical Year and forgone the 13-day festival at the end of the 49th
Year. Traditions persist of a 13-day festival in ancient Great Britain, as
well as observing a 13-month year, with each month bearing the names of animals
or trees.
So how is such a system
to be found in the base dimensions of the Menkaure Pyramid and, further to
that, how can Menkaure's system be demonstrated in Stonehenge?
1. If we consider that
Menkaure's symbolic base measurement was 357 feet with each foot representing
a day, then that equates to 51 weeks or 12.75 months of 28 days each. With
the duration of one 364-day year the 1st year would end 7 feet into side
two. The second year would end 14 feet into side 3. The third year would
end 21 feet into side 4. The fourth year would end 28 feet into side 5.
The fifth year would end 35 feet into side 6. The sixth year would end 42
feet into side 7 and the seventh year 49 feet into side 8.
2. With the passage
of 7 years, it's now time to add in the deficit days, so 8 feet are added
to the 49 feet that the count has encroached into side 8. This means the
final encroachment was 57 feet at the end of the first Sabbatical Year...hmm...that
works well in a side length of 357 feet, leaving a nice figure of 300 feet
in which to recommence the next 7-year cycle.
3. The eighth year terminates
64 feet into side 9 and so forth, until at the end of 7 X 7 years (the last
Sabbatical Year in the series before the Jubilee year) the point of termination
is 105 feet (10 reeds) from the end corner on side 56. This is also 252
feet (24 reeds) from the beginning of side 56. All of the numbers, which
emerge are the primary numbers of antiquity, in constant usage.
4. The same Sabbatical
Calendar formula works perfectly at Stonehenge, by overlaying the Aubrey
Circle posts with a 7-pointed star and completing counts between ray-points.
To review earlier material:
Figure 12: The 14-pointed
star used for calculating the Sabbatical Calendar at Stonehenge. The system
was built around a 13-month year, with each month being exactly 28 days in
duration (364-days). This means there was a deficit error of close to 1.25
days per annum, when compared to the true solar year. Rather than disrupt
society by making annual corrections to the calendar, the system was allowed
to run for 7 years until the Sabbatical year. At the termination of the 7th
year, there was a festival of 8 days and the calendar was corrected. The cycle
then recommenced.
In the above ground plan
of Stonehenge 2 overlaying stars, each of 7-points, are placed into the geometry.
Star-rays at 90 degrees azimuth and 270 degrees azimuth point toward the equinoctial
sunrise and sunset...(true east-west).
The solar year was measured from equinox to equinox and this allowed the astronomer/
mathematicians to detect any error in the true calendar position. The actual
calendar itself was allowed to drift into marginal accumulative error during
a seven-year period, before the insertion of 8 intercalary, corrective days.
Under this age-old system originating in Egypt, each 7th day was a Sabbath,
each 7th month was a Sabbatical month, each 7th year was a Sabbatical year
and the 7th Sabbatical year was special, inasmuch as major correction occurred
then, before commencement of the 50th or Jubilee year. One of the functions
of the 56 Aubrey posts was to count out a full Sabbatical cycle, such that
all would be correct and running true before the outset of a Jubilee year.
The count aspect was done within the confines of a 7-pointed star pattern.
Based on the ground-perimeter calibration assigned to the Menkaure Pyramid,
the 56-post, Aubrey circuit worked like this:
(A). Commencing
in the space between post 56 and 1, move 7 spaces. Each interval was assigned
a value of 357 days (51 weeks...12.75 months).
(B). The 7 posts
encountered in this segment, dividing spaces 1 - 7, were assigned a value
of 7 days each and the combination of 1 space and 1 post added up to 364 days
per space/ post interval (52 weeks...13 months of 28 days each).
(C). The count
would move through 7 spaces and 7 posts, culminating in a passage of 7 years
or 2548 days (13 Sabbatical months...of 196 days duration each). This meant
that an error of 1.25 days had built up each year, for 7 years (based on the
heliacal rise of Sirius...365.25 days) and the calendar was now 8.75* days
in arrears... 8 full days and 3/4 of a day.
(D). The 8th space
had no value, but acted as a division between one Sabbatical Year period and
the next. However the 8th post (which was a star-ray point) was assigned a
"catch-up" value of 8 days and this was added to the 2548 days already accrued.
The new Sabbatical Year, therefore, commenced on the 2556th day with only
.75 of a day of deficit error. The process was then duplicated through each
span between star-ray points, with posts 8, 16, 24, 32, 40, 48 and 56 all
providing the 8 intercalary days to correct the calendar before commencing
a new Sabbatical period.
(E). At the end
of the 7th Sabbatical period (49 years) the last of the 8 intercalary days
were added at the post 56 position (the 7th star-ray point), plus an additional
5 days (13 days total). The 5 additional days were the result of the .75 of
a day of deficit (based on the Sirius Year count of 365.25 days) per sabbatical
period X 7 such periods (5.25 days actual). The .25 of a day beyond 5 days
was sacrificed to render the 49 year average at 365.244898 days per annum.
The precise figure sought after was 365.2420 days (Mayan Year) and the margin
of error, after 49 years, was less than 4 hours...based on nothing more than
counting posts. A major check and balance system for precise reckoning existed
in observing the equinox rises and sets, but the 56 posts could be used to
teach initiates the mathematical basis of the Sabbatical cycle concept.
*Footnote: The
8.75 days of error that had accrued by the termination of a Sabbatical Year,
is eternally coded into many sites. One way that this is done is by a ratio
difference occurring between the dimensions of widely distributed structures.
The ratio difference in the coded circumference of the Sarsen Circle, outer
rim, at Stonehenge and the base perimeter of the Great Pyramid, is exactly
1: 8.75...(345.6 feet to 3024 feet).
The very important lunar
nutation cycle was also a horrendously difficult one to compute exactly and
fix precisely. It probably would have taken generations of observing the cycle
to finalise its duration down to the refined figure of one day. The problem
stems from the moon reaching "major standstill" then returning to and hovering
at that position for months on end. It's difficult to determine the midpoint,
when the downhill slide to "minor standstill" commences.
On the Khafre Pyramid the base measurements, in inches, calibrated the cycle
to 6804 days in 10-inch increments per day. The true cycle (returning to "major
standstill") endures for 6798.32 days.
The Menkaure Pyramid was
able to refine the cycle to 6800 days in terms of its reed count, which was
34 reeds per side, based upon the non-PHI assignment of 357 feet. This means
that 200 circuits of the Pyramid would represent the duration of the lunar
cycle @ 1 reed per day.
Alternatively, if one chose to use the pyramid's inch count of 17136 inches
for a full circuit, then the lunar cycle could be described as 6800 days with
2.52 inches (1/50th of a reed) representing each day.
Other mnemonic reference could be found in 1/2 the reed value for 1 side,
which was 17 reeds. A quarter of the 6800-day cycle would be 1700 days, with
each side being 1700 X 2.52 inches.
Again, these numbers are uncanny in their similarity to the British coded
values, as found at Stonehenge and upon Stonehenge's dynamic little static
computer...a device called, The Bush Barrow Lozenge.
Footnote: The
Dashur Pyramid in Saqqara, Egypt was 1.75: 1 in ratio larger around its base
perimeter than Menkaure and worked to the exact same standard code (357)...with
the subtle difference that Menkaure worked in feet, whereas Dashur worked
in Royal Cubits of 21 inches.
