Copyright © Peter Wakefield Sault 1973-2008

All rights reserved worldwide

2. Gematria

3. Geometry

4. Myths and Legends

5. Ancient Science

2. Regular 2D Maps of A Tetrahedon

2. Aliquot Parts of 3,168

The arithmetic process of interest to us is *Summation of Aliquot Parts*,
the result of which shall be represented here by
** S **(*sigma*).
An *aliquot part* is a whole divisor of a whole number - e.g. 5 is an aliquot part of 10,
as is unity. This calculation is no more susceptible to algebraic solution now than it ever was.
Not only that but it is a one-way process; one can derive
** S **
from the parts but not the parts from
** S**.
A table showing what numbers, within a specified range, any given number is
** S **
of can be generated by taking
** S **
for the natural sequence of numbers within the specified
range and by then sorting the results into
** S **
order. A process for which electronic computers were designed and made.

Pythagorean neophytes had to learn to perform this process by pure mentation, as an exercise.
The Pythagorean Brotherhood was a guild of professional calculators who kept their algorithms
secret by performing their duties without the aid of writing. Summing of aliquot parts gives
rise to two species of natural number known as *perfect* and *amicable*.
A perfect number is one which is equal to its own
** S**.
An amicable number is one of a pair of numbers each of which is equal to the
** S **
of the other. These are well known; the first perfect number is 6 because it is the sum of 1, 2
and 3. Six is called doubly-perfect because it is also the product of its parts.
The next three perfect numbers in sequence are 28, 496 and 8128.
Such numbers are very rare, the 18th taking 1937 digits to write in denary notation.
Amicable pairs are equally rare, the first two being {220; 284} and {1210; 1184}.

The ancient Hellenic alphabet (with which the Christian Gospels were first written down) served two purposes. One, the obvious, was as a set of phonetic symbols for the recording of speech. The other was the recording of numbers. Numbers per se were usually distinguished from words by the placement of a line above or below (or both, as the Romans did with their numbers) the respective group of letters. The letters of the Hellenic alphabet, of which there were originally 27, were divided into 3 groups of 9. The first group was assigned the values 1 through 9 in units, the second 10 through 90 in tens and the third 100 through 900 in hundreds. By 400 B.C. the letters digamma (6), koppa (90) and sampi (900) had fallen out of use. Whatever letters added up to the number to be recorded were written down together in no particular order as this was not a place-value notation.

Although the correct Greek word for the system is *isopsephia*, it is
more widely known as *gematria*, a word derived from the Greek *geometria*
(*geometry*, literally *land-measurement*) and which modern philologists
have traced to Hebrew cabalistic borrowing.

It is hardly surprising that people would use this system to invent names possessing specific
values of particular significance to them. Thus we find that both the architect and the mason
of the Parthenon of Athens, *Iktinos* and *Kallikrates*, had masonic names.

**IKTINOS **
(Iktinos) = 10 + 20 + 300 + 10 + 50 + 70 + 200 = 660 (= 3 × 4 × 5 × 11)

**KALLIKRATHS **
(Kallikrates) = 20 + 1 + 30 + 30 + 10 + 20 + 100 + 1 + 300 + 8 + 200 = 720 (= 8 × 9 × 10 = 6**!**)

These numbers are not arbitrary but occur in the ancient systems of measure or are otherwise aeonian. For examples, 660 is the number of feet in a furlong and 720 is the factorial of 6.

The diameter of Earth across the 30th parallels is 7,920 English *(long)* miles and that
number contains both 660 *(Iktinos)* and 720 *(Kallikrates)* as factors.

Let us look at a more familiar name:-

**KURIOS IHSOUS CRISTOS **
(Kurios Iesous Khristos) = 3,168

*“...you shall call him Jesus.” - Matthew (quoting an angel of the Lord speaking
to Joseph)
“...you shall call him Jesus.” - Luke (quoting the archangel Gabriel speaking to Mary)
*

The title *Kurios* is commonly translated into English as *Lord*.
It is, however, reserved solely for the Christ and *Lord of the Universe*
is what it truly means.
It is related to the Sanskrit word *guru*, meaning *spiritual mentor*.
*Khristos* means *Anointed*.

*“...I saw four angels standing at the four corners of the world.” -
Apokalypse (Revelations) of John the Divine*

The perimeter of a square whose sides are 7,920 miles long (i.e. the square around Earth) is:-

The diameter of Moon is 2,160 (= 6 × 6 × 6 × 10) English miles, and the length of the perimeter of the square around it is:-

**PUFAGORAS **(Pythagoras) = 864

Pythagoras was known as *The Master of The Moon*.

Diameter of Earth (across the 30th parallels) = 7,920 miles.

Diameter of Moon (an almost perfect sphere) = 2,160 miles.

Combined diameters (the largest circle in the drawing, Earth-Moon) = 7,920 + 2,160 = 10,080
miles.

1 week = 10,080 minutes. We appear to have found seven days which in the world were made.
(Read the preceding sentence very carefully.)

Let p *(pi)* = 22/7 (the first Egyptian approximation,
more handy than precise and more sacred than practical). The circumference of the largest
circle is then 10,080 × 22/7 = 31,680 miles = Length of perimeter of square around Earth.

The radius of the large circle is the same number of miles as there are concentric
rings in the circular city-state of Plato's Republic; 5,040. It is also the product of all the
natural numbers from 1 to 7, or ‘7 factorial’ (usually written 7**!**).
As such it is seven times the value of the name Kallikrates.

*
“Here is wisdom. Let the thinking man count the number of the beast,
for it is the number of a man. And the number is 666.” - Apokalypse
(Revelations) of John the Divine*

Let us sum the aliquot parts of the number 3,168:-

**S**(3,168) = 6,660

Identification of the Christ with the ‘Beast of Revelations’ is generally considered
*supreme blasphemy* by followers of the Christian religion. We are, however, still left
with the plainly self-evident fact that the number of the beast can be extracted from the
principal number of the Christ, whose personal name was chosen by God. Some may say it was
“...put there by Satan the devil, to deceive us.”; just like dinosaur bones.
However, the association which undeniably exists here is certainly not one of identification.

As indicated above, the arithmetic process (*Summation of Aliquot Parts)* whereby the
number of the beast is seen in the number of the Christ is unidirectional. The only possible
significance of this fact in the mythical world is that the Christ knows the beast and has power
over it (*contains* it), but not vice versa.

We must not, however, allow mythical reality to sidetrack us from our quest for Truth.
On the contrary, we must see these *sacred myths* for what they truly are - maps of reality
wrapped and bound up in sacred imagery and taboos designed to ensure their survival through the
ravages of eons of primitive superstitious existence. Designed moreover to be recognized at such
time as new maps of the same reality emerge, in this case from the researches of natural
philosophers.

**IHSOUS** (Jesus) = 888

**H ZWH EIMI** ("I am the Life") = 888

Each atom of **Carbon-12** comprises 6 *neutrons*, 6 *protons* and 6
*electrons*.

Each atom of* ***Oxygen-16** comprises 8 *neutrons*, 8 *protons* and 8
*electrons*.

The geometry of carbon-12 is such that its 4 valence points are distributed around each atom at the vertices of a tetrahedron. There are just two regular 2-dimensional maps of a tetrahedron; a triangle and a square with crossed diagonals:-

The energy needed for every step we take is provided by the oxidation of carbon, resulting in the formation of carbon dioxide (CO2). Oxygen molecules (O2) get ‘nailed’ to carbon ‘crosses’ on which they ‘die’ (i.e. the reaction releases energy) in order that we might live. This is the essential nature of life on Earth; a water-moderated macro-reaction between Earth's carbon- and oxygen-bodies. Oxygen is liberated from carbon by solar energy through the medium of chlorophyll, produced by green plants. In this manner the oxygen ‘rises from the dead’ and is ‘born again’.

Thus we can see John's riddle as a biochemical description of life on Earth.

Copyright © Peter Wakefield Sault 1973-2008

All rights reserved worldwide