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A

MAZE

IN

ZAZAZA ENTER ZAZAZA

ZAZAZAZAZAZAZAAZAZAZAZAZAZAZ

ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ

THE

MAGICALALPHABET

ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA

 12345678910111213141516171819202122232425262625242322212019181716151413121110987654321

 

 

WORK DAYS OF GOD

Herbert W Morris D.D.circa 1883

Page 22

"As all the words in the English language are composed out of the twenty-six letters of the alphabet,.."

 

 

LIGHT AND LIFE

Lars Olof Bjorn 1976

Page 197

"By writing the 26 letters of the alphabet in a certain order one may put down almost any message (this book 'is written with the same letters' as the Encyclopaedia Britannica and Winnie the Pooh, only the order of the letters differs). In the same way Nature is able to convey with her language how a cell and a whole organism is to be constructed and how it is to function. Nature has succeeded better than we humans; for the genetic code there is only one universal language which is the same in a man, a bean plant and a bacterium."

"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

A
B
C
D
E
F
G
H
I
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
J
K
L
M
N
O
P
Q
R
10
11
12
13
14
15
16
17
18
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
S
T
U
V
W
X
Y
Z
I
19
20
21
22
23
24
25
26
9
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
ME
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
I
ME
I
ME
I
ME
I
ME
I
9
18
9
18
9
18
9
18
9
=
1+8
=
1+8
=
1+8
=
1+8
=
=
9
=
9
=
9
=
9
=
I
ME
I
ME
I
ME
I
ME
1
9
9
9
9
9
9
9
9
9
I
ME
I
ME
I
ME
I
ME
1

 

 

"BY WRITING THE 26 LETTERS OF THE ALPHABET IN A CERTAIN ORDER

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
                  1+0 1+1 1+2 1+3 1+4 1+5 1+6 1+7 1+8 1+9 2+0 2+1 2+2 2+3 2+4 2+5 2+6
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
                                                   
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z

 

 

A

HISTORY OF GOD

Karen Armstrong

The God of the Mystics

Page 250

"(The Book of Creation). There is no attempt to describe the creative process realistically; the account is unashamedly symbolic and shows God creating the world by means of language as though he were writing a book. But language has been entirely transformed and the message of creation is no longer clear. Each letter of the Hebrew alphabet is given a numerical value; by combining the letters with the sacred numbers, rearranging them in endless configurations, the mystic weaned his mind away from the normal connotations of words."  

 

 

A
B
C
D
E
F
G
H
I
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
J
K
L
M
N
O
P
Q
R
10
11
12
13
14
15
16
17
18
1+0
1+1
1+2
1+3
1+4
1+5
1+6
1+7
1+8
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
S
T
U
V
W
X
Y
Z
I
19
20
21
22
23
24
25
26
9
1+9
2+0
2+1
2+2
2+3
2+4
2+5
2+6
ME
1
2
3
4
5
6
7
8
9
 =
 =
 =
 =
 =
 =
 =
 =
=
 =
 =
 =
 =
 =
 =
 =
 =
=
I
ME
I
ME
I
ME
I
ME
I
9
18
9
18
9
18
9
18
9
=
1+8
=
1+8
=
1+8
=
1+8
=
=
9
=
9
=
9
=
9
=
I
ME
I
ME
I
ME
I
ME
1
9
9
9
9
9
9
9
9
9
I
ME
I
ME
I
ME
I
ME
1

 

 

THERE IS NO ATTEMPT MADE TO DESCRIBE THE CREATIVE PROCESS REALISTICALLY

THE ACCOUNT IS SYMBOLIC AND SHOWS GOD CREATING THE WORLD BY MEANS OF LANGUAGE

AS THOUGH WRITING A BOOK BUT LANGUAGE ENTIRELY TRANSFORMED

THE MESSAGE OF CREATION IS CLEAR EACH LETTER OF

THE

ALPHABET

IS

GIVEN

A

NUMERICAL

VALUE BY COMBINING THE LETTERS WITH THE SACRED NUMBERS

REARRANGING THEM IN ENDLESS CONFIGURATIONS

THE MYSTIC WEANED THE MIND AWAY FROM THE NORMAL CONNOTATIONS OF WORDS

 

 

A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
                  1+0 1+1 1+2 1+3 1+4 1+5 1+6 1+7 1+8 1+9 2+0 2+1 2+2 2+3 2+4 2+5 2+6
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
                                                   
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z

 

 

FINGERPRINTS OF THE GODS

A QUEST FOR THE BEGINNING AND THE END

Graham Hancock 1995

Chapter 32

Speaking to the Unborn

Page 285

"It is understandable that a huge range of myths from all over the ancient world should describe geological catastrophes in graphic detail. Mankind survived the horror of the last Ice Age, and the most plausible source for our enduring traditions of flooding and freezing, massive volcanism and devastating earthquakes is in the tumultuous upheavals unleashed during the great meltdown of 15,000 to 8000 BC. The final retreat of the ice sheets, and the consequent 300-400 foot rise in global sea levels, took place only a few thousand years before the beginning of the historical period. It is therefore not surprising that all our early civilizations should have retained vivid memories of the vast cataclysms that had terrified their forefathers.
Much harder to explain is the peculiar but distinctive way the myths of cataclysm seem to bear the intelligent imprint of a guiding hand.l Indeed the degree of convergence between such ancient stories is frequently remarkable enough to raise the suspicion that they must all have been 'written' by the same 'author'.
Could that author have had anything to do with the wondrous deity, or superhuman, spoken of in so many of the myths we have reviewed, who appears immediately after the world has been shattered by a horrifying geological catastrophe and brings comfort and the gifts of civilization to the shocked and demoralized survivors?
White and bearded, Osiris is the Egyptian manifestation of this / Page 286 / universal figure, and it may not be an accident that one of the first acts he is remembered for in myth is the abolition of cannibalism among the primitive inhabitants of the Nile Valley.2 Viracocha, in South America, was said to have begun his civilizing mission immediately after a great flood; Quetzalcoatl, the discoverer of maize, brought the benefits of crops, mathematics, astronomy and a refined culture to Mexico after the Fourth Sun had been overwhelmed by a destroying deluge.
Could these strange myths contain a record of encounters between scattered palaeolithic tribes which survived the last Ice Age and an as yet unidentified high civilization which passed through the same epoch?
And could the myths be attempts to communicate?

A message in the bottle of time"

'Of all the other stupendous inventions,' Galileo once remarked,

what sublimity of mind must have been his who conceived how to communicate his most secret thoughts to any other person, though very distant either in time or place, speaking with those who are in the Indies, speaking to those who are not yet born, nor shall be this thousand or ten thousand years? And with no greater difficulty than the various arrangements of two dozen little signs on paper? Let this be the seal of all the admirable inventions of men.3

If the 'precessional message' identified by scholars like Santillana, von Dechend and Jane Sellers is indeed a deliberate attempt at communication by some lost civilization of antiquity, how come it wasn't just written down and left for us to find? Wouldn't that have been easier than encoding it in myths? Perhaps.
Nevertheless, suppose that whatever the message was written on got destroyed or worn away after many thousands of years? Or suppose that the language in which it was inscribed was later forgotten utterly (like the enigmatic Indus Valley script, which has been studied closely for more than half a century but has so far resisted all attempts at decoding)? It must be obvious that in such circumstances a written / Page 287 / legacy to the future would be of no value at all, because nobody would be able to make sense of it.
What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them - and the city of Teotihuacan may be the calling-card of a lost civilization written in the eternal language of mathematics.
Geodetic data, related to the exact positioning of fixed geographical points and to the shape and size of the earth, would also remain valid and recognizable for tens of thousands of years, and might be most conveniently expressed by means of cartography (or in the construction of giant geodetic monuments like the Great Pyramid of Egypt, as we shall see).
Another 'constant' in our solar system is the language of time: the great but regular intervals of time calibrated by the inch-worm creep of precessional motion. Now, or ten thousand years in the future, a message that prints out numbers like 72 or 2160 or 4320 or 25,920 should be instantly intelligible to any civilization that has evolved a modest talent for mathematics and the ability to detect and measure the almost imperceptible reverse wobble that the sun appears to make along the ecliptic against the background of the fixed stars..."

"What one would look for, therefore, would be a universal language, the kind of language that would be comprehensible to any technologically advanced society in any epoch, even a thousand or ten thousand years into the future. Such languages are few and far between, but mathematics is one of them"

"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"

 

 

 

 

A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
                  1+0 1+1 1+2 1+3 1+4 1+5 1+6 1+7 1+8 1+9 2+0 2+1 2+2 2+3 2+4 2+5 2+6
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
                                                   
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z

 

 

 

 

A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
                  1+0 1+1 1+2 1+3 1+4 1+5 1+6 1+7 1+8 1+9 2+0 2+1 2+2 2+3 2+4 2+5 2+6
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
                                                   
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z

 

 

THE

FAR YONDER SCRIBE

AND OFT TIMES SHADOWED SUBSTANCES WATCHED IN FINE AMAZE

THE

ZED ALIZ ZED

IN SWIFT REPEAT SCATTER STAR DUST AMONGST THE LETTERS OF THEIR PROGRESS

AT THE THROW OF THE NINTH RAM WHEN IN CONJUNCTION SET

THE

FAR YONDER SCRIBE

MADE RECORD OF THEIR FALL

 

 

NUMBER

9

THE SEARCH FOR THE SIGMA CODE

Cecil Balmond 1998

Cycles and Patterns

Page 165

Patterns

"The essence of mathematics is to look for patterns.

Our minds seem to be organised to search for relationships and sequences. We look for hidden orders.

These intuitions seem to be more important than the facts themselves, for there is always the thrill at finding something, a pattern, it is a discovery - what was unknown is now revealed. Imagine looking up at the stars and finding the zodiac!

Searching out patterns is a pure delight.

Suddenly the counters fall into place and a connection is found, not necessarily a geometric one, but a relationship between numbers, pictures of the mind, that were not obvious before. There is that excitement of finding order in something that was otherwise hidden.

And there is the knowledge that a huge unseen world lurks behind the facades we see of the numbers themselves."

 

 

 
THE RAINBOW LIGHT
     
3
THE
33
15
6
7
RAINBOW
82
37
1
5
LIGHT
56
29
2
15
THE RAINBOW LIGHT
171
81
9
1+5
-
1+7+1
8+1
-
6
THE RAINBOW LIGHT
9
9
9

 

 

A
-
J
-
S
-
-
-
-
-
--
1
-
1
-
1
+
=
3
-
=
3
A
-
J
-
S
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
B
-
K
-
T
-
-
-
-
-
--
2
-
2
-
2
+
=
6
-
=
6
B
-
K
-
T
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
C
-
L
-
U
-
-
-
-
-
--
3
-
3
-
3
+
=
9
-
=
9
C
-
L
-
U
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
D
-
M
-
V
-
-
-
-
-
--
4
-
4
-
4
+
=
12
1+2
=
3
D
-
M
-
V
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
E
-
N
-
W
-
-
-
-
-
--
5
-
5
-
5
+
=
15
1+5
=
6
E
-
N
-
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
F
-
O
-
X
-
-
-
-
-
--
6
-
6
-
6
+
=
18
1+8
=
9
F
-
O
-
X
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
G
-
P
-
Y
-
-
-
-
-
--
7
-
7
-
7
+
=
21
2+1
=
3
G
-
P
-
Y
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
H
-
Q
-
Z
-
-
-
-
-
--
8
-
8
-
8
+
=
24
2+4
=
6
H
-
Q
-
Z
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
I
-
R
-
-
-
-
-
-
-
--
9
-
9
-
-
+
=
18
1+8
=
9
I
-
R
-
-
-
-
-
-
-
--
-
-
-
-
-
-
-
126
-
-
54
-
-
-
-
-
-
-
1+2+6
-
-
5+4
-
-
-
-
-
-
-
9
-
-
9

 

 

3
3
-
A+B+C
6
6
6
2
-
2
D+E
9
9
9
3
3
-
F+G+H
21
21
3
1
-
1
I
9
9
9
3
3
-
J+K+L
33
6
6
2
-
2
M+N
27
9
9
2
2
-
O+P
31
13
4
3
-
3
QRS
54
18
9
3
-
3
TUV
63
9
9
3
-
3
WXY
72
18
9
1
1
-
Z
26
8
8
26
12
14
First Total
351
126
81
2+6
1+2
1+4
Add to Reduce
3+5+1
1+2+6
8+1
8
3
5
Reduce to Deduce
9
9
9

 

 

3
A+B+C
6
6
6
-
D+E
-
-
-
3
F+G+H
21
21
3
-
I
-
-
-
3
J+K+L
33
6
6
-
M+N
-
-
-
2
O+P
31
13
4
-
QRS
-
-
-
-
TUV
-
-
-
-
WXY
-
-
-
1
Z
26
8
8
12
First Total
117
54
27
2+6
Add to Reduce
1+1+7
5+4
2+7
8
Reduce to Deduce
9
9
9

 

 

-
A+B+C
-
-
-
2
D+E
9
9
9
-
F+G+H
-
-
-
1
I
9
9
9
-
J+K+L
-
-
-
2
M+N
27
9
9
-
O+P
-
-
-
3
QRS
54
18
9
3
TUV
63
9
9
3
WXY
72
18
9
-
Z
-
-
-
14
First Total
234
72
54
1+4
Add to Reduce
2+3+4
7+2
5+4
5
Reduce to Deduce
9
9
9

 

 

-

4

ZERO

64

28

1

1
3

ONE

34
16
7
2
3

TWO

58
13
4
3
5

THREE

56
29
2
4
4

FOUR

60
24
6
5
4

FIVE

42
24
6
6
3

SIX

52
16
7
7
5

SEVEN

65
20
2
8
5

EIGHT

49
31
4
9
4

NINE

42
24
6
45
40
-
522
225
45
4+5
4+0
-
5+2+2
2+2+5
4+5
9
4
-
9
9
9

 

 

26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
9
-
-
-
-
5
6
-
-
-
1
-
-
-
-
6
-
8
+
=
43
4+3
=
7
-
7
-
7
-
-
-
-
-
-
-
-
8
9
-
-
-
-
14
15
-
-
-
19
-
-
-
-
24
-
26
+
=
115
1+1+5
=
7
-
7
-
7
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
-
-
1
2
3
4
-
-
7
8
9
-
2
3
4
5
-
7
-
+
=
83
8+3
=
11
1+1
2
-
2
-
1
2
3
4
5
6
7
-
-
10
11
12
13
-
-
16
17
18
-
20
21
22
23
-
25
-
+
=
236
2+3+6
=
11
1+1
2
-
2
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
+
=
351
3+5+1
=
9
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
+
=
126
1+2+6
=
9
-
9
-
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
+
=
1
occurs
x
3
=
3
-
3
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
+
=
2
occurs
x
3
=
6
-
6
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
+
=
3
occurs
x
3
=
9
-
9
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
-
-
-
-
+
=
4
occurs
x
3
=
12
1+2
3
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
-
-
-
+
=
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
-
-
+
=
6
occurs
x
3
=
18
1+8
9
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
7
-
+
=
7
occurs
x
3
=
21
2+1
3
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
+
=
8
occurs
x
3
=
24
2+4
6
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
               
+
=
9
occurs
x
2
=
18
1+8
9
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
45
-
-
26
-
126
-
54
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
4+5
-
-
2+6
-
1+2+6
-
5+4
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9
-
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
9
1
2
3
4
5
6
7
8
-
-
-
-
-
-
-
-
-
-
26
A
B
C
D
E
F
G
H
I
J
K
L
M
N
O
P
Q
R
S
T
U
V
W
X
Y
Z
-
-
9
-
-
8
-
9
-
9

 

 

BEYOND THE VEIL ANOTHER VEIL AND THEN A VEIL BEYOND

 

 

CITY OF REVELATION

John Michell 1972

Page 77

CHAPTER SEVEN

3168, The Perimeter of the Temple

"The number 144 or 122 is characteristic of the New Jerusalem scheme, and 3168 demonstrates the value of (pi symbol 22/7 omitted) in terms of this number, for 144 x 7 = 1008 and 144 x 22 = 3168

Page 80

"31,680 is divisible by all the numbers1-12 with the exception of 7"

 

 

-
7
C
O
H
A
N
I
M
 
-
-
-
-
-
--
-
-
- -
-
6
8
-
5
9
-
 
+
=
28
2+8
=
10
1+0
1
- -
-
15
8
-
14
9
-
 
+
=
46
4+6
=
10
1+0
1
-
7
C
O
H
A
N
I
M
 
-
-
-
-
-
--
-
-
- -
3
-
-
1
-
-
4
 
+
=
8
-
=
8
=
8
- -
3
-
-
1
-
-
13
 
+
=
17
1+7
=
8
=
8
-
7
C
O
H
A
N
I
M
 
-
-
-
-
-
--
-
-
- -
3
15
8
1
14
9
13
 
+
=
63
6+3
=
9
-
9
- -
3
6
8
1
5
9
4
 
+
=
36
3+6
=
9
-
9
-
7
C
O
H
A
N
I
M
 
-
-
-
-
-
-
-
-
-
-
- -
-
1
-
-
-
 
-
-
1
occurs
x
1
=
1
2
-
- -
-
-
-
-
-
 
-
-
2
-
-
-
-
-
-
-
3
-
-
-
-
-
-
 
-
-
3
occurs
x
1
=
3
-
-
- -
-
-
-
-
4
 
-
-
4
occurs
x
1
=
4
-
-
-
-
-
-
5
-
-
 
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
-
 
-
-
6
occurs
x
1
=
6
7
-
- -
-
-
-
-
-
 
-
-
7
-
-
-
-
-
-
-
- -
8
-
-
-
-
 
-
-
8
occurs
x
1
=
8
-
-
- -
-
-
-
9
-
 
-
-
9
occurs
x
1
=
9
9
7
C
O
H
A
N
I
M
 
-
-
36
-
-
7
-
27
-
-
-
-
-
-
-
9
-
 
-
-
3+6
-
-
-
-
2+7
9
7
C
O
H
A
N
I
M
 
-
-
9
-
-
7
-
9
-
-
3
6
8
1
5
9
4
 
-
-
-
-
-
-
-
-
9
5
C
O
H
A
N
I
M
 
-
-
9
-
-
7
-
9

 

 

7
C
O
H
A
N
I
M
 
-
-
-
-
-
--
-
-
-
-
6
8
-
5
9
-
 
+
=
28
2+8
=
10
1+0
1
-
-
15
8
-
14
9
-
 
+
=
46
4+6
=
10
1+0
1
7
C
O
H
A
N
I
M
 
-
-
-
-
-
--
-
-
-
3
-
-
1
-
-
4
 
+
=
8
-
=
8
=
8
-
3
-
-
1
-
-
13
 
+
=
17
1+7
=
8
=
8
7
C
O
H
A
N
I
M
 
-
-
-
-
-
--
-
-
-
3
15
8
1
14
9
13
 
+
=
63
6+3
=
9
-
9
-
3
6
8
1
5
9
4
 
+
=
36
3+6
=
9
-
9
7
C
O
H
A
N
I
M
 
-
-
-
-
-
-
-
-
-
- -
-
1
-
-
-
 
-
-
1
occurs
x
1
=
1
-
3
-
-
-
-
-
-
 
-
-
3
occurs
x
1
=
3
-
- -
-
-
-
-
4
 
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
 
-
-
5
occurs
x
1
=
5
-
-
6
-
-
-
-
-
 
-
-
6
occurs
x
1
=
6
-
- -
8
-
-
-
-
 
-
-
8
occurs
x
1
=
8
-
- -
-
-
-
9
-
 
-
-
9
occurs
x
1
=
9
7
C
O
H
A
N
I
M
 
-
-
36
-
-
7
-
27
-
-
-
-
-
-
9
-
 
-
-
3+6
-
-
-
-
2+7
7
C
O
H
A
N
I
M
 
-
-
9
-
-
7
-
9
-
3
6
8
1
5
9
4
 
-
-
-
-
-
-
-
-
5
C
O
H
A
N
I
M
 
-
-
9
-
-
7
-
9

 

Page 80

"31,680 is divisible by all the numbers1-12 with the exception of 7"

 

 

www.britannica.com/eb/topic-124525/cohen

Cohen or Cohanim or Kohanim or Kohen (Jewish Priest)

Main article

Jewish Priest, one who is a descendant of Zadok, founder of the priesthood of Jerusalem when the First Temple was built by Solomon (10th century BC) and through Zadok related to Aaron, the first Jewish Priest, who was appointed to that office by his younger brother, Moses. Though laymen such as Gideon, David, and Solomon offered sacrifice as God commanded, the Hebrew priesthood was hereditary.

comparison with Israelites

In liturgical usage, an Israelite is a Jew who is neither a cohen (descendant of Aaron, the first high priest) nor a Levite (descendant of early religious functionaries). The distinction is significant, for if a cohen is present for synagogue service, he must be called up first for the reading of the Law; he is then followed by a Levite.

 

 

-
5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
-
-
6
8
-
5
+
=
19
1+9
=
10
1+0
1
=
1
-
-
-
15
8
-
14
+
=
37
3+7
=
10
1+0
1
=
1
-
5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
-
3
-
-
5
-
+
=
8
-
=
8
=
8
=
8
-
-
3
-
-
5
-
+
=
8
-
=
8
=
8
=
8
-
5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
-
3
15
8
5
14
+
=
45
4+5
=
9
-
9
=
9
-
-
3
6
8
5
5
+
=
27
2+7
=
9
-
9
=
9
-
5
C
O
H
E
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
23
5
C
O
H
E
N
-
-
22
-
-
5
-
27
-
18
2+3
-
-
-
-
-``
-
-
-
2+2
-
-
-
-
2+7
-
1+8
5
5
C
O
H
E
N
-
-
4
-
-
5
-
9
-
9
-
-
3
6
8
5
5
-
-
-
-
-
-
-
-
-
-
5
5
C
O
H
E
N
-
-
4
-
-
5
-
9
-
9

 

 

5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
-
6
8
-
5
+
=
19
1+9
=
10
1+0
1
=
1
-
-
15
8
-
14
+
=
37
3+7
=
10
1+0
1
=
1
5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
3
-
-
5
-
+
=
8
-
=
8
=
8
=
8
5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
3
15
8
5
14
+
=
45
4+5
=
9
-
9
=
9
-
3
6
8
5
5
+
=
27
2+7
=
9
-
9
=
9
5
C
O
H
E
N
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
- -
8
-
-
-
-
8
occurs
x
1
=
8
=
8
-
- -
-
-
-
-
-
9
-
-
-
-
-
-
-
5
C
O
H
E
N
-
-
22
-
-
5
-
27
-
18
-
-
-
-
-``
-
-
-
2+2
-
-
-
-
2+7
-
1+8
5
C
O
H
E
N
-
-
4
-
-
5
-
9
-
9
-
3
6
8
5
5
-
-
-
-
-
-
-
-
-
-
5
C
O
H
E
N
-
-
4
-
-
5
-
9
-
9

 

 

CITY OF REVELATION

John Michell 1972

Page 77

CHAPTER SEVEN

3168, The Perimeter of the Temple

"The number 144 or 122 is characteristic of the New Jerusalem scheme, and 3168 demonstrates the value of (pi symbol 22/7 omitted) in terms of this number, for 144 x 7 = 1008 and 144 x 22 = 3168

3168 in Plato's city
A remarkable use of the number 3168 occurs in Plato's account in Book V of.Laws of the mystical dimensions of the perfect city. Throughout his work Plato makes guarded reference to a secret canon of numbers that applies universally to every aspect of human life and activity, including government, astronomy, acoustics, kinetics, plane and solid geometry and divination. Linear measurements, areas and volumes are obviously incommensurable, but Plato declares that there are certain numbers that link these with each other and with all phenomena capable of being measured. As an example of these numbers, the study of which Plato recommends as the most sanctifying of all pursuits, he gives 5040."

 

5
C
O
H
E
N
-
-
-
-
-
--
-
-
-
-
-
3
15
8
5
14
+
=
45
4+5
=
9
-
9
=
9
-
3
6
8
5
5
+
=
27
2+7
=
9
-
9
=
9
5
C
O
H
E
N
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
5
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
- -
8
-
-
-
-
8
occurs
x
1
=
8
=
8
-
- -
-
-
-
-
-
9
-
-
-
-
-
-
-
5
C
O
H
E
N
-
-
22
-
-
5
-
27
-
18
-
-
-
-
-``
-
-
-
2+2
-
-
-
-
2+7
-
1+8
5
C
O
H
E
N
-
-
4
-
-
5
-
9
-
9

 

Page 80

"31,680 is divisible by all the numbers1-12 with the exception of 7"

 

 

CITY OF REVELATION

John Michell 1972

Page 77

CHAPTER SEVEN

3168, The Perimeter of the Temple

"If the numbers of the sacred principles, mentioned by St John in connection with the New Jerusalem, are obtained from the Greek text by the cabalistic method of gematria, it is found that they correspond to the dimensions of the city, set out in Fig 16. (Figure omitted) For example, the perimeter of a hexagon contained within the circle representing the earth, 7920 feet in diameter, measures 2376 feet, and 2376 is the number of (Greek text omitted), the twelve apostles of the Lamb (Revelation 21.14). 2376 x 2 feet is equal to 1746 MY, and 1745 = (Greek text omitted), the twelve apostles. The names of the apostles are said to be in the twelve foundations of the wall of the city. The wall is the circle of diameter 7920 feet and 14,400 cubits in circumference, and the foundations are the twelve corners of the double hexagon inscribed within it, fonowing the customary pattern of an astrological chart. The position of the twelve apostles in the scheme is thus clearly defined.
Of all the canonical numbers the most notable is 3168. The New Jerusalem measures 48,000 furlongs or 31,680,000 feet round the perimeter of its four sides; the mean perimeter of the Stonehenge sarsen circle is 316.8 feet; the perimeter of the square 12 hides of Glastonbury is 31,680 feet; the significance of 31,680 in the canon of cosmology is illustrated in Fig.11, and we shall also find this number set round the border of Plato's mystical city, described in Laws.
Obviously the number 3168 had an important symbolic meaning, the Christian interpretation of which is provided in New Testament
gematria. The most sacred name of Christianity is (Greek text omitted);
(Greek text omitted), Lord Jesus Christ, and the number of these three words together is 3168. (Greek text omitted) is an astrological term meaning the ruler or dominant influence.
Another sacred phrase from the New Testament, (Greek text omitted) the Power of Christ (2 Corinthians 12.9) has the value 3168 if the alternative spelling of Christos, (Greek text omitted) is adopted.

Page 78

The perimeter of the temple is 3168, Lord Jesus Christ, when the temple is measured by the foot, the most sacred unit of ancient metrology. In terms of the megalithic yard (2.72 feet), however, the perimeter measures 1164, because 3168 feet = 1164 MY. Yet this makes no difference to the symbolic interpretation by gematria, for 1164 is the number of another name of Christ, (Greek text omitted) Son of God.

As a geodetic or earth-measuring number, 3168 also demonstrates the antiquity and sacred origin of British metrology, for
31,680 inches = half a mile

31,680 ft. = 6 miles.

31,680 furlongs = 3960 miles = radius of the earth.

31,680 miles = perimeter of square containing the terrestrial sphere.

31,680 miles = circumference of circle drawn on the combined diameters of the earth and moon (10,080 miles)

Other cosmological correspondences of 3168 are given on page 109.

The Stonehenge sarsen circle with circumference of 316.8 feet
contains an area of 888 square yards, 888 being the number of Jesus, which is equal to 1080 square MY. The circle contained within a square of perimeter 316.8 feet, corresponding to the bluestone circle at Stonehenge, has an area of 666 square MY. Thus the two stone circles at Stonehenge have areas of 1080 and 666 square MY, these two numbers representing the opposite poles of lunar and solar or negative and positive energy.
The number 144 or 122 is characteristic of the New Jerusalem scheme, and 3168 demonstrates the value of (pi symbol 22/7 omitted) in terms of this number, for 144 x 7 = 1008 and 144 x 22 = 3168.

3168 in Plato's city
A remarkable use of the number 3168 occurs in Plato's account in Book V of.Laws of the mystical dimensions of the perfect city. Throughout his work Plato makes guarded reference to a secret canon of numbers that applies universally to every aspect of human life and activity, including government, astronomy, acoustics, kinetics, plane and solid geometry and divination. Linear measurements, areas and volumes are obviously incommensurable, but Plato declares that there are certain numbers that link these with each other and with all phenomena capable of being measured. As an example of these numbers, the study of which Plato recommends as the most sanctifying of all pursuits, he gives 5040. This is the ideal number of citizens in the state and serves other purposes in con­/ Page 79 / nection with the framing of laws and standards. The reason why it is most suitable for all matters of division is that for its size it has the greatest number of divisors, 60 in all, including the entire decad, the numbers 1 - 10. Another property of the number 5040 is that it is the radius of a circle with circumference 31,680. Further examina­tion of the numerical foundations of Plato's state shows that the scheme to which he refers is the ancient plan of the cosmic temple.
The lawgivers in Plato's state are reminded that the perfect human society would be one in which all possessions, wives, children, land and chattels were held in common, where all the citizens were of one mind and acted together so harmoniously that it were as if eyes, ears and hands were also common property. To keep this ideal alive is the function of the prophet. Human nature and conditioning, however, demand a more practical alternative, 'very near to the first in immortality and second to it in merit'. This is provided in Laws V.
Plato's state is arranged in a manner that can scarcely be under­stood literally, and is obviously intended, like the New Jerusalem, as a geometer's allegory. The land is all divided into twelve parts, each dedicated to one of the twelve gods and populated by one of the twelve tribes of the 5040 households. The city is similarly divided, forming a microcosm of the state as a whole. In the centre of the city is the acropolis and 'from this centre he must divide up the city itself and the whole country into twelve parts. The twelve parts must be equalised by making those of good land small and those of inferior land greater. He must mark off 5040 allotments, and each of these he must cut in two and join two pieces to form the allotments, so that each contains a near piece and a distant piece - joining the piece next to the city with the piece furthest off, the second nearest with the second furthest, and so on with the rest.'
The only way in which this division can be represented is by a circle of radius 5040, a hundred times larger than that of Stonehenge measured in feet; the perimeter of this circle is 31 ,680. In Fig. 24 (Figure 24 omitted) the radius of the circle should be divided equally into 5040 parts to produce 5040 concentric circles. These are bisected into 10,080 semi­circles by the diameter and positioned out in Plato's manner into 5040 double allotments, each of equal area.
In this scheme 31,680 is not only the circumference of the circular state, but also the area of each of its 2520 pairs of rings, proving Plato's assertion that linear and area pleasurements can be made / Page 80 / (Figure 24 omitted) commensurable by number. The entire circle is divided into two halves, each containing 39,916,800 square units of land. These numbers, which are inherent in the New Jerusalem scheme, have the following significance:
31,680 is divisible by all the numbers1-12 with the exception of 7

5040 = 1 x 2 x 3 x 4 x 5 x 6 x 7

39,916,800 = 1 x 2 x 3 x 4 x 5x 6 x 7 x 8 x 9 x.10 x 11

5040, the radius of the circular city, is the product of the numbers1 - 7; 7920, the side of the square city, is the product of numbers 8 - 11. In each case the perimeter of the city is 31,680. In Plato's Republic is the famous, cryptic reference to the 'marriage number', which should be consulted by the guardians of the state in all matters relating to the seasonal union of male and female. There appear to be two numbers involved, adding up to a third, but the riddle is so obscure that no firm solution has been reached despite the vast literature on the subject. For various reasons the number 12,960,000 or 36002 is most commonly proposed, and this would seem appropriate, for 12,960 = 5040 + 7920. 12,960 therefore represents the union of square and circle, symbol of the sacred marriage, and the gematria is also appropriate, for 1296 = (Greek text omitted) Mary mother of Jesus.

FIGURE 24 (Figure omitted) Plato's city divided into 5040 rings, Perimeter = 31,680, Areas: A + a = B + b = C + c = 31,680.

 

-
FIFTY FOUR
-
-
-
1
F
6
6
6
1
I
9
9
9
1
F
6
6
6
2
TY
45
9
9
1
F
6
6
6
2
OUR
54
18
9
9
FIFTY FOUR
126
54
45
-
-
1+2+6
5+4
4+5
9
FIFTY FOUR
9
9
9

Page 78

Plato declares that there are certain numbers that link these with each other and with all phenomena capable of being measured. As an example of these numbers, the study of which Plato recommends as the most sanctifying of all pursuits, he gives 5040.

 

-
FIFTY FOUR
-
-
-
1
F
6
6
6
1
I
9
9
9
1
F
6
6
6
2
TY
45
9
9
1
F
6
6
6
2
OU
36
9
9
1
R
18
9
9
9
FIFTY FOUR
126
54
45
-
-
1+2+6
5+4
4+5
9
FIFTY FOUR
9
9
9

 

 

--
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
-
-
-
6
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
-
9
-
-
-
-
-
15
-
-
+
=
24
2+4
=
6
-
6
=
6
--
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
6
-
6
2
7
-
6
-
3
9
+
=
39
3+9
=
12
1+2
3
=
3
-
-
6
-
6
20
25
-
6
-
21
18
+
=
102
1+0+2
=
3
-
3
=
3
--
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
6
9
6
20
25
-
6
15
21
18
+
=
126
1+2+6
=
9
=
9
=
9
-
-
6
9
6
2
7
-
6
6
3
9
+
=
54
5+4
=
9
=
9
=
9
-
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
--
-
-
-
-
5
-
-
-
-
-
-
-
-
-
6
-
6
-
-
-
6
6
-
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
--
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
18
9
F
I
F
T
Y
-
F
O
U
R
-
-
27
-
-
9
-
54
-
27
1+8
-
-
9
-
-
-
-
-
-
-
9
-
-
2+7
-
-
-
-
5+4
-
2+7
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9
-
-
6
9
6
2
7
-
6
6
3
9
-
-
-
-
-
-
-
-
-
-
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9

 

 

9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
-
-
-
6
-
-
+
=
15
1+5
=
6
=
6
=
6
-
-
9
-
-
-
-
-
15
-
-
+
=
24
2+4
=
6
-
6
=
6
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
6
-
6
2
7
-
6
-
3
9
+
=
39
3+9
=
12
1+2
3
=
3
-
6
-
6
20
25
-
6
-
21
18
+
=
102
1+0+2
=
3
-
3
=
3
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
--
-
-
-
-
-
6
9
6
20
25
-
6
15
21
18
+
=
126
1+2+6
=
9
=
9
=
9
-
6
9
6
2
7
-
6
6
3
9
+
=
54
5+4
=
9
=
9
=
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
6
-
6
-
-
-
6
6
-
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
-
7
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
9
-
-
-
-
-
-
-
9
-
-
9
occurs
x
2
=
18
1+8
9
9
F
I
F
T
Y
-
F
O
U
R
-
-
27
-
-
9
-
54
-
27
-
-
9
-
-
-
-
-
-
-
9
-
-
2+7
-
-
-
-
5+4
-
2+7
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9
-
6
9
6
2
7
-
6
6
3
9
-
-
-
-
-
-
-
-
-
-
9
F
I
F
T
Y
-
F
O
U
R
-
-
9
-
-
9
-
9
-
9

 

 

2
FIFTY FOUR
126
54
9
1
FORTYFIVE
126
54
9

 

 

1
I
9
9
9
4
PLAY
54
18
9
5
PLATO
64
19
1
5
CHESS
54
18
9

 

 

9
FIFTY FOUR
126
54
9

 

 

2
FIFTY FOUR
126
54
9
1
FORTYFIVE
126
54
9

 

 

-
FIVE FOUR NINE
-
-
-
1
F
6
6
6
1
I
9
9
9
2
VE
9
9
9
1
F
6
6
6
2
OU
36
9
9
1
R
18
9
9
1
N
14
5
5
1
I
9
9
9
1
N
14
5
5
1
E
5
5
5
12
FIVE FOUR NINE
144
72
72
1+2
-
1+4+4
7+2
7+2
3
FIVE FOUR NINE
9
9
9

 

 

-
FIVE FOUR NINE
-
-
-
1
F
6
6
6
1
I
9
9
9
2
VE
9
9
9
1
F
6
6
6
2
OU
36
9
9
1
R
18
9
9
1
NINE
42
24
6
12
FIVE FOUR NINE
144
72
72
1+2
-
1+4+4
7+2
7+2
3
FIVE FOUR NINE
9
9
9

 

 

-
FIVE FOUR NINE
-
-
-
1
F
6
6
6
2
IVE
36
18
9
1
F
6
6
6
2
OUR
54
18
9
1
NINE
42
24
6
12
FIVE FOUR NINE
144
72
72
1+2
-
1+4+4
7+2
7+2
3
FIVE FOUR NINE
9
9
9

 

 

-
FIVE FOUR NINE
-
-
-
1
FIVE
42
24
6
1
FOUR
60
24
6
1
NINE
42
24
6
12
FIVE FOUR NINE
144
72
72
1+2
-
1+4+4
7+2
7+2
3
FIVE FOUR NINE
9
9
9

 

 

-
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
--
-
-
-
-
-
-
-
9
-
-
-
-
6
-
-
-
5
9
5
-
+
=
34
3+4
=
7
=
7
=
7
-
-
-
9
-
-
-
-
15
-
-
-
14
9
14
-
+
=
61
6+1
=
7
=
7
=
7
-
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
--
-
-
-
-
-
-
6
-
4
5
-
6
-
3
9
-
-
-
-
5
+
=
38
3+8
=
11
1+1
2
=
2
-
-`
6
-
22
5
-
6
-
21
18
-
-
-
-
5
+
=
83
8+3
=
11
1+1
2
=
2
-
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
--
-
-
-
-
-
-
6
9
22
5
-
6
6
21
18
-
14
9
14
5
+
=
144
1+4+4
=
9
=
9
=
9
-
-
6
9
4
5
-
6
6
3
9
-
5
9
5
5
+
=
72
7+2
=
9
=
9
=
9
-
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
--
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
6
-
-
-
-
6
6
-
-
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
18
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
27
-
-
12
-
72
-
27
1+8
1+2
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
2+7
-
-
1+2
-
7+2
-
2+7
9
3
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
9
-
-
3
-
9
-
9

 

 

12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
--
-
-
-
-
-
-
9
-
-
-
-
6
-
-
-
5
9
5
-
+
=
34
3+4
=
7
=
7
=
7
-
-
9
-
-
-
-
15
-
-
-
14
9
14
-
+
=
61
6+1
=
7
=
7
=
7
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
--
-
-
-
-
-
6
-
4
5
-
6
-
3
9
-
-
-
-
5
+
=
38
3+8
=
11
1+1
2
=
2
-`
6
-
22
5
-
6
-
21
18
-
-
-
-
5
+
=
83
8+3
=
11
1+1
2
=
2
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
--
-
-
-
-
-
6
9
22
5
-
6
6
21
18
-
14
9
14
5
+
=
144
1+4+4
=
9
=
9
=
9
-
6
9
4
5
-
6
6
3
9
-
5
9
5
5
+
=
72
7+2
=
9
=
9
=
9
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
-
-
-
5
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
6
-
-
-
-
6
6
-
-
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
12
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
27
-
-
12
-
72
-
27
1+2
-
9
-
-
-
-
-
-
9
-
-
9
-
-
-
-
2+7
-
-
1+2
-
7+2
-
2+7
3
F
I
V
E
-
F
O
U
R
-
N
I
N
E
-
-
9
-
-
3
-
9
-
9

 

 

-
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
9
-
-
-
5
9
5
-
+
=
34
3+4
=
7
=
7
=
7
-
-
-
15
-
-
-
-
9
-
-
-
14
9
14
-
+
=
61
6+1
=
7
=
7
=
7
-
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
6
-
3
9
-
6
-
4
5
-
-
-
-
5
+
=
38
3+8
=
11
1+1
2
=
2
-
-`
6
-
21
18
-
6
-
22
5
-
-
-
-
5
+
=
83
8+3
=
11
1+1
2
=
2
-
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
6
6
21
18
-
6
9
22
5
-
14
9
14
5
+
=
144
1+4+4
=
9
=
9
=
9
-
-
6
6
3
9
-
6
9
4
5
-
5
9
5
5
+
=
72
7+2
=
9
=
9
=
9
-
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
--
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
-
5
-
5
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
6
6
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
18
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
27
-
-
12
-
72
-
27
1+8
1+2
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
2+7
-
-
1+2
-
7+2
-
2+7
9
3
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
9
-
-
3
-
9
-
9

 

 

12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
9
-
-
-
5
9
5
-
+
=
34
3+4
=
7
=
7
=
7
-
-
15
-
-
-
-
9
-
-
-
14
9
14
-
+
=
61
6+1
=
7
=
7
=
7
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
6
-
3
9
-
6
-
4
5
-
-
-
-
5
+
=
38
3+8
=
11
1+1
2
=
2
-`
6
-
21
18
-
6
-
22
5
-
-
-
-
5
+
=
83
8+3
=
11
1+1
2
=
2
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
6
6
21
18
-
6
9
22
5
-
14
9
14
5
+
=
144
1+4+4
=
9
=
9
=
9
-
6
6
3
9
-
6
9
4
5
-
5
9
5
5
+
=
72
7+2
=
9
=
9
=
9
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
5
-
5
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
6
6
-
-
-
6
-
-
-
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
-
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
12
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
27
-
-
12
-
72
-
27
1+2
-
-
-
9
-
-
9
-
-
-
-
9
-
-
-
-
2+7
-
-
1+2
-
7+2
-
2+7
3
F
O
U
R
-
F
I
V
E
-
N
I
N
E
-
-
9
-
-
3
-
9
-
9

 

 

-
SUN
- - -
1
S
19 10 1
1
U
21 3 3
1
N
14 5 5
3
SUN
54 18 9
-   5+4 1+8 -
3
SUN
9 9 9

 

 

-
3
S
U
N
-
-
-
-
-
--
-
-
-
-
1
-
5
+
=
6
-
=
6
-
6
-
-
19
-
14
+
=
33
3+3
=
6
=
6
-
3
S
U
N
-
-
-
-
-
--
-
-
-
-
-
3
-
+
=
3
-
=
3
=
3
-
`-
-
21
-
+
=
21
2+1
=
3
=
3
-
3
S
U
N
-
-
-
-
-
--
-
-
-
`-
19
21
14
+
=
54
5+4
=
9
=
9
-
-
1
3
5
+
=
9
-
=
9
=
9
-
3
S
U
N
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
6
-
-
-
-
-
-
6
-
-
-
-
-
7
-
-
-
-
-
-
7
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
36
3
S
U
N
-
-
9
-
-
3
-
9
3+6
-
-
-
-
-
-
-
-
-
-
-
-
9
3
S
U
N
-
-
9
-
-
3
-
9

 

 

3
S
U
N
-
-
-
-
-
--
-
-
-
1
-
5
+
=
6
-
=
6
-
6
-
19
-
14
+
=
33
3+3
=
6
=
6
3
S
U
N
-
-
-
-
-
--
-
-
-
-
3
-
+
=
3
-
=
3
=
3
`-
-
21
-
+
=
21
2+1
=
3
=
3
3
S
U
N
-
-
-
-
-
--
-
-
`-
19
21
14
+
=
54
5+4
=
9
=
9
-
1
3
5
+
=
9
-
=
9
=
9
3
S
U
N
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
occurs
x
1
=
1
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
5
-
-
5
occurs
x
1
=
5
3
S
U
N
-
-
9
-
-
3
-
9
-
-
-
-
-
-
-
-
-
-
-
-
3
S
U
N
-
-
9
-
-
3
-
9

 

 

-
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
-
6
9
5
-
9
-
-
5
-
-
+
=
34
3+4
=
7
=
7
=
7
-
-
-
15
9
14
-
9
-
-
14
-
-
+
=
61
6+1
=
7
=
7
=
7
-
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
3
-
-
-
3
-
4
5
-
3
5
+
=
23
2+3
=
5
=
5
=
5
-
-
3
-
-
-
3
-
4
5
-
3
5
+
=
23
2+3
=
5
=
5
=
5
-
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
3
15
9
14
3
9
4
5
14
3
5
+
=
84
8+4
=
12
1+2
3
=
3
-
-
3
6
9
5
3
9
4
5
5
3
5
+
=
57
5+7
=
12
1+2
3
=
3
-
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
3
-
-
`-
3
-
-
-
-
3
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
`-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
5
-
-
-
5
5
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
18
11
C
O
I
N
C
I
D
E
N
C
E
-
-
27
-
-
11
-
57
-
30
1+8
1+1
-
-
9
-
-
9
-
-``
-
-
-
-
-
2+7
-
-
1+1
-
5+7
-
3+0
9
2
C
O
I
N
C
I
D
E
N
C
E
-
-
9
-
-
2
-
12
-
3
-
-
3
6
9
5
3
9
4
5
5
3
5
-
-
-
-
-
-
-
1+2
-
-
9
2
C
O
I
N
C
I
D
E
N
C
E
-
-
9
-
-
2
-
3
-
3

 

 

11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
-
6
9
5
-
9
-
-
5
-
-
+
=
34
3+4
=
7
=
7
=
7
-
-
15
9
14
-
9
-
-
14
-
-
+
=
61
6+1
=
7
=
7
=
7
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
3
-
-
-
3
-
4
5
-
3
5
+
=
23
2+3
=
5
=
5
=
5
-
3
-
-
-
3
-
4
5
-
3
5
+
=
23
2+3
=
5
=
5
=
5
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
--
-
-
-
-
-
3
15
9
14
3
9
4
5
14
3
5
+
=
84
8+4
=
12
1+2
3
=
3
-
3
6
9
5
3
9
4
5
5
3
5
+
=
57
5+7
=
12
1+2
3
=
3
11
C
O
I
N
C
I
D
E
N
C
E
-
-
-
-
-
-
-
-
-
-
-
3
-
-
`-
3
-
-
-
-
3
-
-
-
3
occurs
x
3
=
9
=
9
-
-
`-
-
-
-
-
4
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
5
-
-
-
5
5
-
5
-
-
5
occurs
x
4
=
20
2+0
2
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
11
C
O
I
N
C
I
D
E
N
C
E
-
-
27
-
-
11
-
57
-
30
1+1
-
-
9
-
-
9
-
-``
-
-
-
-
-
2+7
-
-
1+1
-
5+7
-
3+0
2
C
O
I
N
C
I
D
E
N
C
E
-
-
9
-
-
2
-
12
-
3
-
3
6
9
5
3
9
4
5
5
3
5
-
-
-
-
-
-
-
1+2
-
-
2
C
O
I
N
C
I
D
E
N
C
E
-
-
9
-
-
2
-
3
-
3

 

 

-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
8
-
-
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
6
-
+
=
26
2+6
=
8
=
8
=
8
-
-
-
-
-
8
-
-
15
-
-
-
-
-
-
-
-
-
-
-
15
-
-
-
15
-
+
=
53
5+3
=
8
=
8
=
8
-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
--
-
-
-
-
-
-
5
1
3
-
-
6
-
9
-
1
3
3
-
1
3
3
-
6
-
9
-
7
-
4
+
=
64
6+4
=
10
1+0
1
=
1
-
-
5
1
3
-
-
6
-
18
-
1
12
12
-
1
12
12
-
6
-
18
-
7
-
4
+
=
118
1+1+8
=
10
1+0
1
=
1
-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
--
-
-
-
-
-
-
5
1
3
8
-
6
15
18
-
1
12
12
-
1
12
12
-
6
15
18
-
7
15
4
+
=
171
1+7+1
=
90
9+0
9
=
9
-
-
5
1
3
8
-
6
6
9
-
1
3
3
-
1
3
3
-
6
6
9
-
7
6
4
+
=
90
9+0
=
9
=
9
=
9
-
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
3
=
3
=
3
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
-
3
3
-
-
3
3
-
-
-
-
-
-
-
-
-
-
3
occurs
x
5
=
15
1+5
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
-
5
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
6
-
-
-
6
occurs
x
5
=
30
3+0
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
-
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
2
19
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
43
-
-
19
-
90
-
45
-
1+9
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
4+3
-
-
1+0
-
9+0
-
4+5
2
10
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
7
-
-
1
-
9
-
9
-
1+0
5
1
3
8
-
6
6
9
-
1
3
3
-
1
3
3
-
6
6
9
-
7
6
4
-
-
-
-
-
-
-
-
-
-
2
1
E
A
C
H
-
F
O
R
-
A
L
L
-
A
L
L
-
F
O
R
-
G
O
D
-
-
7
-
-
1
-
9
-
9

 

 
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