The design of Pakal's funerary chamber remains a mystery
for Mayanologists because the Mayan priests did not
use our current metric system, but a unit of space associated
with their Gods' symbolism. In the following table,
calculations are made to find a correlation that could
provide information about their design and Mayan dimensions
in space. The measurements as described in some research
papers are in meters.
CHAMBER |
LENGTH |
WIDTH |
HEIGHT |
VOLUME |
|
7.00 |
3.75 |
6.50 |
170.625 |
Length to width ratio |
1.866666666666 |
Inverse to L/W |
0.535714285714 |
Length to height ratio |
1.076923076923 |
Inverse to L/H ratio |
0.928571428571 |
Height to width ratio |
1.733333333333 |
Inverse to H/W ratio |
0.576923076923 |
SARCOPHAGUS |
LENGTH |
WIDTH |
HEIGHT |
VOLUME |
|
3.00 |
2.10 |
1.10 |
6.93 |
Length to width ratio |
1.428571428571 |
Inverse to L/W ratio |
0.700000000000 |
Length to height ratio |
2.727272727272 |
Inverse to L/H ratio |
0.366666666666 |
Height to width ratio |
0.523809523809 |
Inverse to H/W ratio |
1.909090909092 |
LID |
LENGTH |
WIDTH |
THICKNESS |
VOLUME |
|
3.80 |
2.20 |
0.25 |
2.09 |
Length to width ratio |
1.727272727272 |
Inverse to L/W ratio |
0.578947368421 |
Length to thickness ratio |
15.20000000000 |
Inverse to L/T ratio |
0.065789473684 |
Width to thickness ratio |
8.800000000000 |
Inverse to W/T ratio |
0.113636363636 |
The first thing we notice in the calculations is that
the result produces numbers that are not exact (irrational
numbers) in their ratio. This means that their unit
of space was, for example, the length of a cord measuring
something less or greater that 1 meter. Secondly, the
length of the cord was probably divided in equal parts.
My hypothesis is that the cord was divided in 7 equal
parts to associate the symbolism of the number 7. The
number 7 is considered the representation of the highest
Mayan God that cannot be perceived with your senses
but imagined because our brain has already exhausted
all the natural possibilities (there are 6 Gods in Nature).
For a detailed explanation of symbolic gods associated
with the first seven numerals, see my article, "The
Symbolism of Mayan Numbers."
In our metric system, dividing the Mayan unit of space
in seven parts results in the number 0.142857142857.
This unit has a repetitive fractal value in 142857.
Examining the calculations of the sarcophagus, it is
interesting to note that the length to width ratio produces
a relation associated with the inverse of the number
7. Thus, the inverse of 0.7 is 1.428571428571.
This makes sense when designing a coffin for a God-King
like Pakal. To produce the Mayan symmetry and beauty
of a container holding Pakal's body, the designer priests
needed to consider the physical proportions (length/width)
of his body associated with the symbolism of a supreme
God. Therefore, the first discovered riddle is Pakal's
body associated with the God 7.
Next, the Chamber seems to present another riddle to
discover. If we multiply the length, width and height
of the chamber by 7, the results produces approximately
49 parts, 26 parts and 45 parts. Multiplying all the
parts, the total is 57,330 parts.
As you may know, this number seems to correlate with
stars calculations in radians. Let's examine that. The
most natural unit of angular measure is not the degree,
but the radian, in particular in ancient astronomy.
We know (2Pi) is an important math / geometric constant.
It is the number of Radians (deg) on the circumference
of a circle or sphere assuming the Circle or Sphere
has 360 equal segments on its circumference. If we multiply
(2Pi) x 57.330 parts, the calculation yields the number
360.215, close enough to
our conventional 360 arc-degrees system. Therefore,
we can speculate that the Chamber was designed as an
sphere with a measure of one radian.
We have reserved the discussion of the lid's design
at the end because it probably represents the mastery
of the Mayas in terms of associated symbolic images
and mathematical units of measure. Discarding the height
of 0.25 meters, which probably does not account for
any expressed relation, we focus in the length/width
ratio of the lid, equals to 1.72 or multiples of 20
x 5 x 1.72. In other words, the number 172.
According to Jenkins (1994), "Tzolkin: Visionary
Perspectives and Calendar Studies," the number
172 was a connection between the larger Venus Calendar
cycles and the cycles of Neptune and Uranus. In other
words, he discovered that the conjunction cycles of
Uranus and Neptune, each lasting about 172 years, could
be predicted using the Mayan Venus Calendar (specifically,
12 Uranus/Neptune conjunctions equal 20 Venus Rounds).
These large rhythms are observed to relate to historical
events, especially in Mesoamerica. Since Uranus and
Neptune are not visible to the naked eye, this suggests
that Mayan cosmo-conception, rooted in the sacred tzolkin
cycle, may have applications beyond the borders of Mesoamerica.
In modern astrology, the Uranus-Neptune combination
is associated, both in history and in personal biographies,
with periods in which the archetypal--the mythic, the
spiritual, the transcendent, the imaginal, the numinous--is
suddenly awakened and liberated in new ways into human
consciousness. We see this all around us now: the tremendous
upswelling of interest today in an astonishing multiplicity
of spiritual paths and traditions, in esoteric disciplines,
in the transpersonal movement, in meditation and mystical
religious traditions, in Jungian and archetypal psychology,
in mythology and ancient religions, in shamanism and
indigenous traditions, in the recovery of Goddess spirituality
and the feminine dimension of the divine, in ecofeminist
spirituality, in psychedelic self-exploration and new
forms of experiential psychotherapy that effect profound
changes of consciousness, in the emergence of holistic
and participatory paradigms in virtually every field,
in the unprecedented convergence of science and spirituality.
We see it in the collective awakening of an intense
desire to merge with a greater unity--to reconnect with
the Earth and all forms of life on it, with the cosmos,
with the community of being. We see it in the powerful
new awareness of the anima mundi, the soul of the world.
And we see it in the widespread urge to overcome old
separations and dualisms--between human being and nature,
between spirit and matter, mind and body, subject and
object, intellect and soul, and, perhaps most fundamentally,
between masculine and feminine--to discover a deeper
unitive consciousness.
Another personal alternative to this finding is to
think in the vigesimal system in which 20 x 5 is equal
to 100 leaving a remainder of 72
for the number in question. This seems to correlate
with the 20-day month called the Haab in the Mayan calendar.
The Haab is based in the cycles of earth. It has 360
plus 5 days, totaling 365 days. Similar to our current
solar calendar. The Haab uses 18 months with 20 days
in each month. The following table explains it:
20 days = 18 kin |
288 days = 20 baktun |
36 days = 20 uinales |
576 days = 20 pictun |
72 days = 20 tuns |
1152 days = 20 calabtun |
144 days = 20 katun |
2304 days = 20 kinchilton |
Clearly, as I discussed in another article,
the lid was designed as a time machine to represent
periods of time marked by either planetary conjunctions
or by solar days. Archaeologists describe the glyphs
around the lid as a celestial band, but the units of
measure seem to indicate a good correlation to the days
lived by King Pakal on Earth and his 80 trips around
the sun.
In summary, the following conclusions can be postulated:
- The sarcophagus was designed based on the physical
proportions of King Pakal's body and the symbolism
of the number 7 as the Supreme God of the Maya Universe.
- The chamber was designed based on the spherical
astronomical dimensions of the Maya universe.
- The lid was designed as a time machine to mark the
solar days around the sun or the conjunctions of important
planets in the Mayan Venus calendar.
So, now that you know a little more of what to watch
in the sky according to Pakal's prophecies, these are
the three most unusual astronomical phenomena until
2012.
a) A Transit
of Venus, in which Venus will pass directly in front
of the Sun in 2004.
b) The greatest, longest solar
eclipse of the 21st Century in 2009.
c) In addition, the Venus
transit returns to the same area of the sky every
8 years, and each time, is getting nearer and nearer
to the Pleiades. In 1972, Venus was 1 degree from Alcyone,
the central star of the Pleiades, but in 2012, Venus
will be right next to Alcyone.
"The science of one day
becomes the magic of the next day and diversion in another
time."
(Pakal Ahau).
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