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Evokation
  
 
Index
  

 

 

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

 

 

18
THE ENGLISH ALPHABET
-
-
-
1
THE
33
15
6
-
ENGLISH
74
38
2
1
ALPHABET
65
29
2
18
THE ENGLISH ALPHABET
172
82
10
1+8
-
1+7+2
8+2
1+0
9
THE ENGLISH ALPHABET
10
10
10
-
-
1+0
1+0
1+0
9
THE ENGLISH ALPHABET
1
1
1

 

 

BEYOND THE VEIL ANOTHER VEIL ANOTHER VEIL BEYOND

 

 

C
=
3
-
8
CREATORS
99
36
9
R
=
9
-
8
REACTORS
99
36
9
-
-
12
-
16
First Total
198
72
18
-
-
1+2
-
1+6
Add to Reduce
1+9+8
7+2
1+8
-
-
3
-
7
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
3
-
7
Essence of Number
9
9
9

 

 

 

A

HISTORY OF GOD

Karen Armstrong 1993

The God of the Mystics

Page 250

"Perhaps the most famous of the early Jewish mystical texts is the fifth century Sefer Yezirah (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."

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

....

 

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

 

 

 

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

 

 

 

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"

 

 

"FOR THE GENETIC CODE THERE IS ONLY ONE UNIVERSAL LANGUAGE"

 

DNA AND DNA DNA AND DNA DNA AND DNA

DNA AND DNA DNA AND DNA DNA AND DNA

 

 

 

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 4320or 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

 

 

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

 

....

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

 

 

I DELIGHT IN LIGHT IN LIGHT I DELIGHT

 

 

 

 


 

 

ADVENT 2117 ADVENT

 

TABLE, OSIRIS IRIS ISIS SIRIUS, OS, I, R, I, S, I. R, I, S, I,S, I, S, S, I, R, I, US
TABLE, ISIS IRIS OSIRIS SIRIUS, ISIS, IRIS, OSIRIS, SIRIUS
TABLE, ISIS OSIRIS, ISIS, OSIRIS
TABLE, IRIS, OSIRIS
TABLE, ISIS, IRIS, OSIRIS, SIRIUS
TABLE, ISIS OSIRIS, ISIS, OSIRIS, ISIS OSIRIS
TABLE, IRIS, OSIRIS
TABLE, IRISOSIRIS
TABLE, ISISOSIRIS
TABLE, ISISOSIRIS
TABLE, ISISIRIS
TABLE, OSIRISISISIRISSIRIUS
TABLE, OSIRIS, SIRIUS
TABLE, OSIRIS IRIS SIRIUS
TABLE, SIRIUS SOTHIS

 

 

20
OSIRIS IRIS ISIS SIRIUS
-
-
-
-
O
15
6
6
-
S
19
10
1
-
I
9
9
9
-
R
18
9
9
-
I
9
9
9
-
S
19
10
1
-
I
9
9
9
-
R
18
9
9
-
I
9
9
9
-
S
19
10
1
-
I
9
9
9
-
S
19
10
1
-
I
9
9
9
-
S
19
10
1
-
S
19
10
1
-
I
9
9
9
-
R
18
9
9
-
I
9
9
9
-
U
40
13
4
-
S
19
10
1
20
OSIRIS IRIS ISIS SIRIUS
-
-
-

 

 

-
ISIS IRIS OSIRIS SIRIUS
-
-
-
4
ISIS
56
38
2
4
IRIS
55
37
1
6
OSIRIS
89
44
8
6
SIRIUS
95
50
5
20
-
295
169
16
2+0
-
2+9+5
1+6+9
1+6
-
-
16
16
7
-
-
1+6
1+6
-
2
ISIS IRIS OSIRIS SIRIUS
7
7
7

 

 

-
ISIS OSIRIS
-
-
-
4
ISIS
56
38
2
6
OSIRIS
89
44
8
10
ISIS OSIRIS
145
82
10
1+0
-
1+4+5
8+2
1+0
-
-
10
10
1
-
-
1+0
1+0
-
1
ISIS OSIRIS
1
1
1

 

 

-
IRIS OSIRIS
-
-
-
4
IRIS
55
37
1
6
OSIRIS
89
44
8
10
ISIS OSIRIS
144
81
9
1+0
-
1+4+4
8+1
-
1
IRIS OSIRIS
9
9
9

 

 

4
ISIS
9
1
9
1
-
-
4
IRIS
9
9
9
1
-
-
6
OSIRIS
6
1
9
9
9
1
6
SIRIUS
1
9
9
9
3
1

 

 

-
ISIS OSIRIS
-
-
-
-
-
-
4
ISIS
9
1
9
1
-
-
6
OSIRIS
6
1
9
9
9
1
10
ISIS OSIRIS
15
2
18
10
9
1
1+0
-
1+5
-
1+8
1+0
-
-
1
ISIS OSIRIS
6
2
9
1
9
1

 

 

-
IRIS OSIRIS
-
-
-
-
-
-
4
IRIS
9
9
9
1
-
-
6
OSIRIS
6
1
9
9
9
1
10
IRIS OSIRIS
15
10
18
10
9
1
1+0
-
1+5
1+0
1+8
1+0
-
-
1
IRIS OSIRIS
6
1
9
1
9
1

 

 

10
I
R
I
S
O
S
I
R
I
S
-
9
9
9
1
6
1
9
9
9
1
-
-
-
-
1
-
1
-
-
-
1
-
-
-
-
-
6
-
-
-
-
-
-
9
9
9
-
-
-
9
9
9
-
10
I
R
I
S
O
S
I
R
I
S

 

 

10
I
S
I
S
O
S
I
R
I
S
-
-
-
-
-
-
-
-
-
9
1
9
1
6
1
9
9
9
1
+
=
55
5+5
=
10
1+0
=
1
-
-
1
-
1
-
1
-
-
-
1
+
=
4
-
-
4
-
-
-
-
-
-
-
-
6
-
-
-
-
-
+
=
6
-
-
6
-
-
-
-
9
-
9
-
-
-
9
9
9
-
+
=
45
4+5
=
9
-
-
-
10
I
S
I
S
O
S
I
R
I
S
-
-
55
-
-
19
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5+5
-
-
1+9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
10
-
-
10
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+0
-
-
1+0
-
-
-
10
I
S
I
S
O
S
I
R
I
S
-
-
1
-
-
1
-
-
-

 

 

8
I
S
I
S
I
R
I
S
-
-
-
-
-
-
-
-
-
9
1
9
1
9
9
9
1
+
=
48
4+8
=
12
1+2
=
3
-
-
1
-
1
-
-
-
1
+
=
3
-
-
3
-
-
-
-
9
-
9
-
9
9
9
-
+
=
45
4+5
=
9
-
-
-
8
I
S
I
S
I
R
I
S
-
-
48
-
-
12
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4+8
-
-
1+2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
12
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1+2
-
-
-
-
-
8
I
S
I
S
I
R
I
S
-
-
3
-
-
3
-
-
-

 

 

20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
6
1
9
9
9
1
9
1
9
1
9
9
9
1
1
9
9
9
3
1
-
-
-
-
-
-
-
-
1
-
-
-
1
-
1
-
1
-
-
-
1
1
-
-
-
-
1
+
=
7
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
6
-
-
-
9
9
9
-
9
-
9
-
9
9
9
-
-
9
9
9
-
-
+
=
99
9+9
=
18
20
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
9
9
9
-
9
-
9
-
9
9
9
-
-
9
9
9
-
-
-
-
-
-
-
-
-
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
9
-
9
-
9
-
9
-
9
-
9
-
-
9
-
9
-
-
+
=
72
7+2
=
9
-
-
1
-
-
-
1
-
1
-
1
-
-
-
1
1
-
-
-
-
1
+
=
7
-
-
7
-
O
S
I
R
I
S
I
S
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-

 

 

16
O
S
I
R
I
S
I
S
I
S
S
I
R
I
U
S
-
-
-
-
--
-
-
-
-
-
6
1
9
9
9
1
9
1
9
1
1
9
9
9
3
1
+
=
87
8+7
=
15
1+5
=
6
-
-
1
-
-
-
1
-
1
-
1
1
-
-
-
-
1
+
=
6
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
-
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
9
9
9
-
9
-
9
-
-
9
9
9
-
-
+
=
72
7+2
=
9
-
-
9
16
O
S
I
R
I
S
I
S
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
1
9
1
9
1
1
9
-
9
-
1
+
=
60
6+0
=
6
-
-
6
-
-
1
-
-
-
1
-
1
-
1
1
-
-
-
-
1
+
=
6
-
-
-
-
-
-
-
-
-
9
-
9
-
9
-
9
-
-
9
-
9
-
-
+
=
54
5+4
=
9
-
-
9
16
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-

 

 

-
-
-
9
-
9
-
-
-
9
-
9
-
-
+
=
36
3+6
=
9
-
-
-
-
-
1
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
-
-
-
1
9
-
9
1
-
1
9
-
9
-
1
+
=
40
4+0
=
4
-
-
-
12
O
S
I
R
I
S
-
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
6
1
9
9
9
1
-
1
9
9
9
3
1
+
=
67
6+7
=
13
1+3
=
4
-
-
1
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
-
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
9
9
9
-
-
-
9
9
9
-
-
+
=
54
5+4
=
-
-
-
9
12
O
S
I
R
I
S
-
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-

 

 

1
occurs
x
4
=
4
-
-
4
3
occurs
x
1
=
3
-
-
3
6
occurs
x
1
=
6
-
-
6
9
occurs
x
6
=
54
5+4
=
9
19
-
-`
12
-
67
-
 --
22
1+9
-
-
1+2
-
6+7
-
-
2+2
10
-
-
3
-
13
-
-
4
1+0
-
-
-
-
1+3
-
-
-
1
-
-
7
-
4
-
-
4

 

 

16
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
6
1
9
9
9
1
9
9
9
1
1
9
9
9
3
1
+
=
95
9+5
=
14
1+4
=
5
-
-
1
-
-
-
1
-
-
-
1
1
-
-
-
-
1
+
=
5
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
+
=
3
-
-
-
-
-
3
-
6
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
9
9
9
-
9
9
9
-
-
9
9
9
-
-
+
=
81
8+1
=
-
-
-
9
16
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
9
9
9
-
9
9
9
-
-
9
9
9
-
-
-
-
-
-
-
-
-
-
-
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
9
-
9
-
-
9
-
9
-
-
+
=
54
5+4
=
-
-
-
9
-
-
1
-
-
-
1
-
-
-
1
1
-
-
-
-
1
+
=
5
-
-
-
-
-
5
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
59
-
-
-
-
-
14
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5+9
-
-
-
-
-
1+4
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
14
-
-
-
-
-
5
-
-
-
9
9
9
-
9
9
9
-
-
9
9
9
-
-
-
-
1+4
-
-
-
-
-
-
-
O
S
I
R
I
S
I
R
I
S
S
I
R
I
U
S
-
-
5
-
-
-
-
-
5

 

 

1
occurs
x
5
=
5
-
-
5
3
occurs
x
1
=
3
-
-
3
6
occurs
x
1
=
6
-
-
6
9
occurs
x
9
=
81
8+1
=
9
19
-
-`
16
-
95
-
 -
23
1+9
-
-
1+6
-
9+5
-
-
2+3
10
-
-
7
-
14
-
-
5
1+0
-
-
-
-
1+4
-
-
-
1
-
-
7
-
5
-
-
5

 

 

12
S
I
R
I
U
S
-
S
O
T
H
I
S
-
-
-
-
-
-
-
-
-
-
19
9
18
9
21
19
-
19
15
20
8
9
19
+
=
185
1+8+5
=
14
1+4
=
5
-
1
9
9
9
3
1
-
1
6
2
8
9
1
+
=
59
5+9
=
14
1+4
=
5
-
1
-
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
2
-
-
-
+
=
2
-
-
-
-
-
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
+
=
3
-
--
-
-
-
3
-
-
-
-
-
-
-
-
-
6
-
-
-
-
+
=
6
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
8
-
-
+
=
8
-
-
-
-
-
8
-
-
9
9
9
-
-
-
-
-
-
-
9
-
+
=
36
3+6
=
-
-
-
9
12
S
I
R
I
U
S
-
S
O
T
H
I
S
+
=
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
-
9
-
+
=
27
2+7
=
-
-
-
9
-
1
-
-
-
-
1
-
1
-
-
-
-
1
+
=
4
-
-
-
-
-
4
-
S
I
R
I
U
S
-
S
O
T
H
I
S
-
-
-
-
-
-
-
-
-

 

 

-
-
-
-
-
ISIS
-
-
-
I
=
9
-
1
I
9
9
9
S
=
1
-
1
S
19
10
1
I
=
9
-
1
I
9
9
9
S
=
1
-
1
S
19
10
1
-
-
20
-
4
ISIS
56
38
20
-
-
2+0
-
-
-
5+6
3+8
2+0
-
-
2
-
4
ISIS
11
11
2
-
-
-
-
-
-
1+1
1+1
-
-
-
2
-
4
ISIS
2
2
2

 

 

O
=
6
-
-
OSIRIS
-
-
-
-
-
-
-
3
SOS
53
26
8
-
-
-
-
1
I
9
9
9
-
-
-
-
1
R
18
9
9
-
-
-
-
1
I
9
9
9
O
=
6
-
6
OSIRIS
89
53
35
-
-
-
-
-
-
8+9
5+3
3+5
O
=
6
-
6
OSIRIS
17
8
8
-
-
-
-
-
-
1+7
-
-
O
=
6
-
6
OSIRIS
8
8
8

 

 

THE HOURS OF THE HORUS

 

H
=
8
-
-
HORUS
-
-
-
-
-
-
-
2
H+O
23
23
5
-
-
-
-
1
R
18
9
9
-
-
-
-
2
U+S
40
13
4
H
=
8
-
5
HORUS
81
45
18
-
-
-
-
-
-
8+1
4+5
1+8
H
=
8
-
5
HORUS
9
9
9

 

 

-
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
1
+
=
20
2+0
=
2
=
2
=
2
-
-
19
9
-
9
-
19
+
=
56
5+6
=
11
1+1
2
=
2
-
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
-
+
=
12
1+2
=
3
=
3
=
3
-
-
-
-
18
-
21
-
+
=
39
3+9
=
12
1+2
3
=
3
-
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
19
9
18
9
21
19
+
=
95
9+5
=
14
1+4
5
=
5
-
-
1
9
9
9
3
1
+
=
32
3+2
=
5
=
5
=
5
-
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
32
6
S
I
R
I
U
S
-
-
13
-
-
6
-
32
-
14
3+2
-
-
9
9
9
-
-
-
-
1+3
-
-
-
-
3+2
-
1+4
5
6
S
I
R
I
U
S
-
-
4
-
-
6
-
5
-
5
-
-
1
9
9
9
3
1
-
-
-
-
-
-
-
-
-
-
5
6
S
I
R
I
U
S
-
-
4
-
-
6
-
5
-
5

 

 

6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
1
+
=
20
2+0
=
2
=
2
=
2
-
19
9
-
9
-
19
+
=
56
5+6
=
11
1+1
2
=
2
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
-
+
=
12
1+2
=
3
=
3
=
3
-
-
-
18
-
21
-
+
=
39
3+9
=
12
1+2
3
=
3
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
19
9
18
9
21
19
+
=
95
9+5
=
14
1+4
5
=
5
-
1
9
9
9
3
1
+
=
32
3+2
=
5
=
5
=
5
6
S
I
R
I
U
S
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
=
3
-
-
9
9
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
6
S
I
R
I
U
S
-
-
13
-
-
6
-
32
-
14
-
-
9
9
9
-
-
-
-
1+3
-
-
-
-
3+2
-
1+4
6
S
I
R
I
U
S
-
-
4
-
-
6
-
5
-
5
-
1
9
9
9
3
1
-
-
-
-
-
-
-
-
-
-
6
S
I
R
I
U
S
-
-
4
-
-
6
-
5
-
5

 

 

-
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
1
-
1
-
-
-
+
=
21
2+1
=
3
=
3
=
3
-
-
19
9
-
9
-
19
-
19
-
-
-
+
=
75
4+8
=
12
1+2
3
=
3
-
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
-
-
-
2
1
9
+
=
24
2+4
=
6
=
6
=
6
-
-
-
-
18
-
21
-
-
-
20
1
18
+
=
78
7+8
=
15
1+5
6
=
6
-
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
19
9
18
9
21
19
-
19
20
1
18
=
=
153
1+5+3
=
9
=
9
=
9
-
-
1
9
9
9
3
1
-
1
2
1
9
=
=
45
3+2
=
9
=
9
=
9
-
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
1
-
1
-
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
9
9
-
-
-
-
-
-
9
-
-
9
occurs
x
4
=
36
3+6
9
30
10
S
I
R
I
U
S
-
S
T
A
R
-
-
15
-
-
10
-
45
-
18
3+0
1+0
-
9
9
9
-
-
-
-
-
-
9
-
-
1+5
-
-
1+0
-
4+5
-
1+8
3
1
S
I
R
I
U
S
-
S
T
A
R
-
-
6
-
-
1
-
9
-
9
-
-
1
9
9
9
3
1
-
1
2
1
9
-
-
-
-
-
-
-
-
-
-
3
1
S
I
R
I
U
S
-
S
T
A
R
-
-
6
-
-
1
-
9
-
9

 

 

10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
1
9
-
9
-
1
-
1
-
-
-
+
=
21
2+1
=
3
=
3
=
3
-
19
9
-
9
-
19
-
19
-
-
-
+
=
75
4+8
=
12
1+2
3
=
3
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
-
-
-
2
1
9
+
=
24
2+4
=
6
=
6
=
6
-
-
-
18
-
21
-
-
-
20
1
18
+
=
78
7+8
=
15
1+5
6
=
6
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
19
9
18
9
21
19
-
19
20
1
18
=
=
153
1+5+3
=
9
=
9
=
9
-
1
9
9
9
3
1
-
1
2
1
9
=
=
45
3+2
=
9
=
9
=
9
10
S
I
R
I
U
S
-
S
T
A
R
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
1
-
1
-
-
-
1
occurs
x
4
=
4
=
4
-
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
9
9
9
-
-
-
-
-
-
9
-
-
9
occurs
x
4
=
36
3+6
9
10
S
I
R
I
U
S
-
S
T
A
R
-
-
15
-
-
10
-
45
-
18
1+0
-
9
9
9
-
-
-
-
-
-
9
-
-
1+5
-
-
1+0
-
4+5
-
1+8
1
S
I
R
I
U
S
-
S
T
A
R
-
-
6
-
-
1
-
9
-
9
-
1
9
9
9
3
1
-
1
2
1
9
-
-
-
-
-
-
-
-
-
-
1
S
I
R
I
U
S
-
S
T
A
R
-
-
6
-
-
1
-
9
-
9

 

 

 

Daily Mail, Tuesday, November 19, 2019

ANSWERS TO CORRESPONDENTS

Compiled by Charles Legge

Page 70

QUESTION What significamce did our ancestors place on rainbows?

IN ABORIGINAL Australian culture, traditions associated with the Rainbow Spirit are said to be the longest continuous mythological tradition in the world.

Its most enduring form is the Rainbow Serpent, as Philip (Guburu) Obah, an elder of the Wadja, explains: 'Everything has a spirit to the aborigines who believe the air, rocks, trees, language, law and culture and art all come from the Creator. `The aborigines believe that a rainbow serpent was God's messenger, teaching moral and spiritual laws.'
There are a complex array of myths associated with the rainbow snake and its part in The Dreaming, which is the aboriginal lore about the creation.
Tom Davies, Sydney, New South Wale

 

PRACTICALLY every civilisation has attached significance to rainbows.
In the Bible, after Noah saved the animals from the Great Flood, a rainbow appeared symbolising God's promise never to destroy the world again.

The most celebrated rainbow in Western mythology is Bifrost, a bridge that the Earth with Asgard, home of the Norse gods.

In Irish legend, leprechauns bury pots of gold at the end of the rainbow, making them forever elusive.

In Greek and Roman mythology, Iris the goddess of the rainbow was a messenger of the gods.

In Tibetan Buddhism, the Rainbow Body is a state approaching Nirvana where practitioners become a being of pure light.

The rainbow is a bridge used by soul boats in Indonesia. Arabs and the Bantu people of Africa believe the rainbow to be a divine bow for firing arrows.

Many cultures fear the power of the rainbow. The Fang of Gabon forbid their children to even look at one. And in central Peru, certain diseases are called 'the rainbow hurt my skin'
Liam Payne, Belfast.

 

4
IRIS
55
37
1

 

In Greek and Roman mythology, Iris the goddess of the rainbow was a messenger of the gods

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

....

 

.

 

-
IRIS OSIRIS
-
-
-
4
IRIS
55
37
1
6
OSIRIS
89
44
8
10
ISIS OSIRIS
144
81
9
1+0
-
1+4+4
8+1
-
1
IRIS OSIRIS
9
9
9

 

-
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

 

 

-
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
36
3+6
=
9
=
9
=
9
-
-
-
-
-
9
14
-
-
15
-
+
=
81
8+1
=
9
=
9
=
9
-
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
-
-
18
1
-
-
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
-
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
18
1
-
9
14
-
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
-
9
1
-
9
5
-
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
-
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
37
1+8
9
22
7
R
A
-
I
N
-
B
O
W
-
-
23
-
-
7
-
37
-
19
2+2
-
9
-
-
9
-
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
4
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
10
-
10
-
-
9
1
-
9
5
-
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
4
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
1
-
1

 

HURRAH FOR RAH FOR RAH HURRAH

 

7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
36
3+6
=
9
=
9
=
9
-
-
-
-
9
14
-
-
15
-
+
=
81
8+1
=
9
=
9
=
9
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
-
18
1
-
-
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
18
1
-
9
14
-
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
9
1
-
9
5
-
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
37
1+8
9
7
R
A
-
I
N
-
B
O
W
-
-
23
-
-
7
-
37
-
19
-
9
-
-
9
-
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
10
-
10
-
9
1
-
9
5
-
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

-
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
6
-
+
=
36
3+6
=
9
=
9
=
9
-
-
-
-
9
14
-
15
-
+
=
81
8+1
=
9
=
9
=
9
-
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
-
-
18
1
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
-
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
18
1
9
14
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
-
9
1
9
5
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
-
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
9
occurs
x
2
=
37
1+8
9
22
7
R
A
I
N
B
O
W
-
-
23
-
-
7
-
37
-
19
2+2
-
9
-
9
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
4
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
10
-
10
-
-
9
1
9
5
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
4
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
6
-
+
=
36
3+6
=
9
=
9
=
9
-
-
-
9
14
-
15
-
+
=
81
8+1
=
9
=
9
=
9
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
2
-
5
+
=
32
3+2
=
5
=
5
=
5
-
18
1
-
-
2
-
23
+
=
85
8+5
=
14
1+4
5
=
5
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
18
1
9
14
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
9
1
9
5
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
15
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
9
-
-
-
-
-
-
9
occurs
x
2
=
37
1+8
9
7
R
A
I
N
B
O
W
-
-
23
-
-
7
-
37
-
19
-
9
-
9
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
10
-
10
-
9
1
9
5
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

 

 

5
BRAIN
44
26
8
-
-
-
-
-
-
-
-
-
-
-
BRAINS
-
-
-
1
B
2
2
2
5
RAINS
61
25
7
6
BRAINS
63
27
9
-
-
6+3
2+7
-
6
BRAINS
9
9
9

 

 

-
RAINBOW
-
-
-
1
BRAIN
44
26
8
4
OW
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
3+7
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

-
RAINBOW
-
-
-
2
RA
2
2
2
2
IN
61
25
7
3
BOW
61
25
7
7
RAINBOW
82
37
9
-
-
8+2
3+7
-
7
RAINBOW
10
10
1
-
-
1+0
1+0
-
7
RAINBOW
1
1
1

 

 

--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
20
2+0
=
2
=
2
=
2
-
`-
-
-
-
9
14
-
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
-
`-
18
1
-
-
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
--
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
--
-
-
-
-
-
`-
18
1
-
9
14
-
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
-
9
1
-
9
5
-
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
-
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
22
7
R
A
-
I
N
-
B
O
W
-
-
23
-
-
7
-
37
-
19
2+2
-
9
-
-
9
-
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
4
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
10
-
10
-
-
9
1
-
9
5
-
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
4
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
-
6
-
+
=
20
2+0
=
2
=
2
=
2
`-
-
-
-
9
14
-
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
`-
18
1
-
-
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
`-
18
1
-
9
14
-
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
9
1
-
9
5
-
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
7
R
A
-
I
N
-
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
5
-
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
9
-
-
9
-
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
R
A
-
I
N
-
B
O
W
-
-
23
-
-
7
-
37
-
19
-
9
-
-
9
-
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
10
-
10
-
9
1
-
9
5
-
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
7
R
A
-
I
N
-
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

-
RAINBOW
-
-
-
1
R
18
9
9
1
A
1
1
1
1
I
9
9
9
4
NBOW
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
3+7
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

--
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
6
-
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
9
14
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
--
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
-
-
18
1
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
--
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
18
1
9
14
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
-
9
1
9
5
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
-
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
22
7
R
A
I
N
B
O
W
-
-
23
-
-
7
-
37
-
19
2+2
-
9
-
9
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
4
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
10
-
10
-
-
9
1
9
5
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
4
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
-
9
5
-
6
-
+
=
20
2+0
=
2
=
2
=
2
`-
-
-
9
14
-
15
-
+
=
38
3+8
=
11
1+1
2
=
2
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
2
-
5
+
=
17
1+7
=
8
=
8
=
8
`-
18
1
-
-
2
-
23
+
=
44
4+4
=
8
=
8
=
8
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
`-
18
1
9
14
2
15
23
+
=
82
8+2
=
10
1+0
1
=
1
-
9
1
9
5
2
6
5
+
=
37
3+7
=
10
1+0
1
=
1
7
R
A
I
N
B
O
W
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
5
-
-
5
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
9
-
9
-
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
7
R
A
I
N
B
O
W
-
-
23
-
-
7
-
37
-
19
-
9
-
9
-
-
-
-
-
-
2+3
-
-
-
-
3+7
-
1+9
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
10
-
10
-
9
1
9
5
2
6
5
-
-
-
-
-
-
-
1+0
-
1+0
7
R
A
I
N
B
O
W
-
-
5
-
-
7
-
1
-
1

 

 

-
RAINBOW
-
-
-
1
BRAIN
44
26
8
4
OW
54
18
9
7
RAINBOW
82
37
28
-
-
8+2
3+7
3+7
7
RAINBOW
10
10
10
-
-
1+0
1+0
1+0
7
RAINBOW
1
1
1

 

 

15
THE RAINBOW LIGHT
-
-
-
-
THE
33
15
6
-
R
18
9
9
-
A
1
1
1
-
I
9
9
9
-
N+B+O+W
54
18
9
-
L
12
3
3
-
I
9
9
9
-
G+H+T
35
17
8
15
THE RAINBOW LIGHT
171
81
54
1+5
-
1+7+1
8+1
5+4
6
THE RAINBOW LIGHT
9
9
9

 

 

-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
9
5
-
6
-
-
-
9
-
8
-
+
+
45
4+5
=
9
=
9
=
9
-
-
-
8
-
-
-
-
9
14
-
15
-
-
-
9
-
8
-
+
+
63
6+3
=
9
=
9
=
9
-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
9
1
-
-
2
-
5
-
3
-
7
-
14
+
+
36
3+6
=
9
=
9
=
9
-
-
20
-
5
-
18
1
-
-
2
-
23
-
12
-
7
-
20
+
+
108
1+0+8
=
9
=
9
=
9
-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
18
1
9
14
2
15
23
-
12
9
7
8
20
+
+
171
1+7+1
=
9
=
9
=
9
-
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
+
+
81
8+1
=
9
=
9
=
9
-
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
4
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
41
-
-
15
-
81
-
45
-
1+5
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
4
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9
-
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
4
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
-
9
5
-
6
-
-
-
9
-
8
-
+
+
45
4+5
=
9
=
9
=
9
-
-
8
-
-
-
-
9
14
-
15
-
-
-
9
-
8
-
+
+
63
6+3
=
9
=
9
=
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
2
-
5
-
9
1
-
-
2
-
5
-
3
-
7
-
14
+
+
36
3+6
=
9
=
9
=
9
-
20
-
5
-
18
1
-
-
2
-
23
-
12
-
7
-
20
+
+
108
1+0+8
=
9
=
9
=
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
20
8
5
-
18
1
9
14
2
15
23
-
12
9
7
8
20
+
+
171
1+7+1
=
9
=
9
=
9
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
+
+
81
8+1
=
9
=
9
=
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
-
2
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
5
-
-
-
-
5
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
15
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
41
-
-
15
-
81
-
45
1+5
-
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9
-
2
8
5
-
9
1
9
5
2
6
5
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
6
T
H
E
-
R
A
I
N
B
O
W
-
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
9
5
-
6
-
-
9
-
8
-
+
+
45
4+5
=
9
=
9
=
9
-
-
8
-
-
-
9
14
-
15
-
-
9
-
8
-
+
+
63
6+3
=
9
=
9
=
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
2
-
5
9
1
-
-
2
-
5
3
-
7
-
14
+
+
36
3+6
=
9
=
9
=
9
-
20
-
5
18
1
-
-
2
-
23
12
-
7
-
20
+
+
108
1+0+8
=
9
=
9
=
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
20
8
5
18
1
9
14
2
15
23
12
9
7
8
20
+
+
171
1+7+1
=
9
=
9
=
9
-
2
8
5
9
1
9
5
2
6
5
3
9
7
8
2
+
+
81
8+1
=
9
=
9
=
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
-
-
-
-
2
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
5
-
-
-
5
-
-
5
-
-
-
-
-
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
9
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
2+7
9
15
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
41
-
-
15
-
81
-
45
1+5
-
-
-
9
-
9
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+5
-
8+1
-
4+5
6
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9
-
2
8
5
9
1
9
5
2
6
5
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
6
T
H
E
R
A
I
N
B
O
W
L
I
G
H
T
-
-
5
-
-
6
-
9
-
9

 

 

-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
-
-
-
9
-
8
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
-
8
-
-
14
-
-
-
9
-
8
-
+
=
39
3+9
=
12
1+2
3
=
3
-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
2
9
3
2
-
-
1
-
4
-
3
-
7
-
2
+
=
33
3+3
=
6
-
6
=
6
-
-
20
18
21
20
-
-
1
-
4
-
12
-
7
-
20
+
=
123
1+2+3
=
6
-
6
=
6
--
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
20
18
21
20
8
-
1
14
4
-
12
9
7
8
20
+
=
162
1+6+2
=
9
-
9
=
9
-
-
2
9
3
2
8
-
1
5
4
-
3
9
7
8
2
+
=
63
6+3
=
9
-
9
=
9
-
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
2
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
--
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
--
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
18
1+8
9
6
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
39
-
-
12
-
54
-
45
-
1+2
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+9
-
-
1+2
-
5+4
-
4+5
6
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
12
-
-
3
-
9
-
9
-
-
2
9
3
2
8
-
1
5
4
-
3
9
7
8
2
-
-
1+2
-
-
-
-
-
-
-
6
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
3
-
-
3
-
9
-
9

 

 

12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
5
-
-
-
9
-
8
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
8
-
-
14
-
-
-
9
-
8
-
+
=
39
3+9
=
12
1+2
3
=
3
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
2
9
3
2
-
-
1
-
4
-
3
-
7
-
2
+
=
33
3+3
=
6
-
6
=
6
-
20
18
21
20
-
-
1
-
4
-
12
-
7
-
20
+
=
123
1+2+3
=
6
-
6
=
6
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
20
18
21
20
8
-
1
14
4
-
12
9
7
8
20
+
=
162
1+6+2
=
9
-
9
=
9
-
2
9
3
2
8
-T
1
5
4
-T
3
9
7
8
2
+
=
63
6+3
=
9
-
9
=
9
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
18
1+8
9
12
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
39
-
1
12
-
54
-
45
1+2
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
3+9
-
-
1+2
-
5+4
-
4+5
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
12
-
1
3
-
9
-
9
-
2
9
3
2
8
-
1
5
4
-
3
9
7
8
2
-
-
1+2
-
-
-
-
-
-
-
3
T
R
U
T
H
-
A
N
D
-
L
I
G
H
T
-
-
3
-
-
3
-
9
-
9

 

 

12
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
5
-
-
9
-
8
-
+
=
30
3+0
=
3
=
3
=
3
-
-
-
-
-
8
-
14
-
-
9
-
8
-
+
=
39
3+9
=
12
1+2
3
=
3
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
2
9
3
2
-
1
-
4
3
-
7
-
2
+
=
33
3+3
=
6
-
6
=
6
-
20
18
21
20
-
1
-
4
12
-
7
-
20
+
=
123
1+2+3
=
6
-
6
=
6
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
20
18
21
20
8
1
14
4
12
9
7
8
20
+
=
162
1+6+2
=
9
-
9
=
9
-
2
9
3
2
8
1
5
4
3
9
7
8
2
+
=
63
6+3
=
9
-
9
=
9
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
2
-
-
2
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
3
=
6
=
6
-
-
-
3
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
-
-
-
4
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
--
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
8
-
-
-
8
occurs
x
2
=
16
1+6
7
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
18
1+8
9
12
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
39
-
1
12
-
54
-
45
1+2
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
3+9
-
-
1+2
-
5+4
-
4+5
3
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
12
-
1
3
-
9
-
9
-
2
9
3
2
8
1
5
4
3
9
7
8
2
-
-
1+2
-
-
-
-
-
-
-
3
T
R
U
T
H
A
N
D
L
I
G
H
T
-
-
3
-
-
3
-
9
-
9

 

 

-
-
-
-
-
LIGHT
-
-
-
-
-
-
-
4
LIGH
36
27
9
-
-
-
-
1
T
20
2
2
L
=
3
-
5
LIGHT
56
29
11
-
-
1+0
-
-
-
5+6
2+9
1+1
-
-
1
-
9
LIGHT
11
11
7
-
-
1+0
-
-
-
1+1
1+1
-
-
-
1
-
9
LIGHT
2
2
2

 

 

-
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
-
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
-
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
+
=
12
1+2
=
3
=
3
-
3
-
-
12
-
7
-
20
+
=
39
3+9
=
12
1+2
3
-
3
-
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
12
9
7
8
20
+
=
56
5+6
=
11
1+1
2
-
2
-
-
3
9
7
8
2
+
=
29
2+9
=
11
1+1
2
-
2
-
5
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
ONE
1
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
6
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
--
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
16
5
L
I
G
H
T
-
-
29
-
1
5
-
29
-
29
1+6
-
-
9
-
-
-
-
-
2+9
-
-
-
-
2+9
-
2+9
7
5
L
I
G
H
T
-
-
11
-
1
5
-
11
-
11
-
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
7
5
L
I
G
H
T
-
-
2
-
-
5
-
2
-
2

 

 

5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
-
-
9
-
8
-
+
=
17
1+7
=
8
-
8
-
8
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
+
=
12
1+2
=
3
=
3
-
3
-
12
-
7
-
20
+
=
39
3+9
=
12
1+2
3
-
3
5
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
12
9
7
8
20
+
=
56
5+6
=
11
1+1
2
-
2
-
3
9
7
8
2
+
=
29
2+9
=
11
1+1
2
-
2
5
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
--
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
9
occurs
x
1
=
9
=
9
5
L
I
G
H
T
-
-
29
-
1
5
-
29
-
29
-
-
9
-
-
-
-
-
2+9
-
-
-
-
2+9
-
2+9
5
L
I
G
H
T
-
-
11
-
1
5
-
11
-
11
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
5
L
I
G
H
T
-
-
2
-
-
5
-
2
-
2

 

 

L
=
3
-
6
LIVING
73
37
1
H
=
8
-
4
HEAT
34
16
7
L
=
3
-
5
LIGHT
56
29
2
-
-
14
-
15
-
163
82
10
-
-
1+4
-
1+5
-
1+6+3
8+2
1+0
-
-
5
-
6
-
10
10
1
-
-
-
-
-
-
1+0
1+0
-
-
-
5
-
6
-
1
1
9

 

 

L
=
3
-
6
LOVING
79
34
7
H
=
8
-
4
HEAT
34
16
7
L
=
3
-
5
LIGHT
56
29
2
-
-
14
-
15
-
169
79
16
-
-
1+4
-
1+5
-
1+6+9
7+9
1+6
-
-
5
-
6
-
16
10
7
-
-
-
-
-
-
1+6
1+0
-
-
-
5
-
6
-
7
7
7

 

 

P
=
7
-
4
PARTICLES
103
40
4
O
=
6
-
1
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2
-
-
16
-
10
-
180
81
9
-
-
1+6
-
1+0
-
1+8+0
8+1
-
-
-
7
-
1
-
9
9
9

 

 

9
PARTICLES
103
40
4
2
OF
21
12
3
5
LIGHT
56
29
2
16
Add to Reduce
180
81
9
1+6
Reduce to Deduce
1+8+0
8+1
-
7
Essence of Number
9
9
9

 

 

-T
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-T
`-
-
-
-
-
9
-
-
-
1
-
6
-
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
-
`-
-
-
-
-
9
-
-
-
19
-
15
-
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
7
1
9
2
-
3
3
5
-
-
-
6
-
3
-
7
-
2
+
=
48
4+8
=
12
1+2
3
=
3
-
`-
16
1
18
20
-
3
12
5
-
-
-
6
-
12
-
7
-
20
+
=
120
1+2+0
=
3
=
3
=
3
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
`-
16
1
18
20
9
3
12
5
19
-
15
6
-
12
9
7
8
20
+
=
180
1+8+0
=
9
=
9
=
9
-
-
7
1
9
2
9
3
3
5
1
-T
6
6
-T
3
9
7
8
2
+
=
81
8+1
=
9
=
9
=
9
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
-
3
3
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
-
--
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
=
9
4
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
41
-
1
16
-
81
-
45
-
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+6
-
8+1
-
4+5
4
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
1
7
-
9
-
9
-
-
7
1
9
2
9
3
-
5
1
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
4
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
-
7
-
9
-
9

 

 

16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
-
-
-
9
-
-
-
1
-
6
-
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
`-
-
-
-
-
9
-
-
-
19
-
15
-
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
7
1
9
2
-
3
3
5
-
-
-
6
-
3
-
7
-
2
+
=
48
4+8
=
12
1+2
3
=
3
`-
16
1
18
20
-
3
12
5
-
-
-
6
-
12
-
7
-
20
+
=
120
1+2+0
=
3
=
3
=
3
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
16
1
18
20
9
3
12
5
19
-
15
6
-
12
9
7
8
20
+
=
180
1+8+0
=
9
=
9
=
9
-
7
1
9
2
9
3
3
5
1
-T
6
6
-T
3
9
7
8
2
+
=
81
8+1
=
9
=
9
=
9
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
3
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
--
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
=
9
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
41
-
1
16
-
81
-
45
-
-
-
9
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+6
-
8+1
-
4+5
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
1
7
-
9
-
9
-
7
1
9
2
9
3
-
5
1
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
16
P
A
R
T
I
C
L
E
S
-
O
F
-
L
I
G
H
T
-
-
5
-
-
7
-
9
-
9

 

 

16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
-
-
-
9
-
-
-
1
6
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
`-
-
-
-
-
9
-
-
-
19
15
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
7
1
9
2
-
3
3
5
-
-
6
3
-
7
-
2
+
=
48
4+8
=
12
1+2
3
=
3
`-
16
1
18
20
-
3
12
5
-
-
6
12
-
7
-
20
+
=
120
1+2+0
=
3
=
3
=
3
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
16
1
18
20
9
3
12
5
19
15
6
12
9
7
8
20
+
=
180
1+8+0
=
9
=
9
=
9
-
7
1
9
2
9
3
3
5
1
6
6
3
9
7
8
2
+
=
81
8+1
=
9
=
9
=
9
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
-
3
3
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
3
=
9
=
9
-
-
-
-
-
-
-
-
5
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
--
7
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
9
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
3
=
27
=
9
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
41
-
1
16
-
81
-
45
-
-
-
9
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+1
-
-
1+6
-
8+1
-
4+5
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
5
-
1
7
-
9
-
9
-
7
1
9
2
9
3
-
5
1
6
6
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
16
P
A
R
T
I
C
L
E
S
O
F
L
I
G
H
T
-
-
5
-
-
7
-
9
-
9

 

 

-
10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
-
-
-
1
+
=
18
1+8
=
9
=
9
=
9
-
`-
-
9
-
8
-
-
-
-
-
-
19
+
=
36
3+6
=
9
=
9
=
9
-
10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
-
5
1
4
5
-
+
=
27
2+7
=
9
=
9
=
9
-
`-
12
-
7
-
20
-
23
1
22
5
-
+
=
90
7+5
=
9
=
9
=
9
-
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
`-
12
9
7
8
20
-
23
1
22
5
19
+
=
126
1+2+6
=
9
=
9
=
9
-
-
3
9
7
8
2
-T
5
1
4
5
1
+
=
45
4+5
=
9
=
9
=
9
-
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
6
10
L
I
G
H
T
-
W
A
V
E
S
-
-
39
-
1
12
-
45
-
36
-
1+0
-
9
-
-
-
-
-
-
-
-
-
-
-
3+9
-
-
1+2
-
4+5
-
3+6
6
1
L
I
G
H
T
-
W
A
V
E
S
-
-
12
-
1
3
-
9
-
9
-
-
3
9
7
8
2
-
5
1
4
5
1
-
-
1+2
-
-
-
-
-
-
-
6
1
L
I
G
H
T
-
W
A
V
E
S
-
-
3
-
-
3
-
9
-
9

 

 

10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
-
-
-
1
+
=
18
1+8
=
9
=
9
=
9
`-
-
9
-
8
-
-
-
-
-
-
19
+
=
36
3+6
=
9
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
-
5
1
4
5
-
+
=
27
2+7
=
9
=
9
=
9
`-
12
-
7
-
20
-
23
1
22
5
-
+
=
90
7+5
=
9
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
`-
12
9
7
8
20
-
23
1
22
5
19
+
=
126
1+2+6
=
9
=
9
=
9
-
3
9
7
8
2
-T
5
1
4
5
1
+
=
45
4+5
=
9
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
2
-
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
7
-
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
10
L
I
G
H
T
-
W
A
V
E
S
-
-
39
-
1
12
-
45
-
36
1+0
-
9
-
-
-
-
-
-
-
-
-
-
-
3+9
-
-
1+2
-
4+5
-
3+6
1
L
I
G
H
T
-
W
A
V
E
S
-
-
12
-
1
3
-
9
-
9
-
3
9
7
8
2
-
5
1
4
5
1
-
-
1+2
-
-
-
-
-
-
-
1
L
I
G
H
T
-
W
A
V
E
S
-
-
3
-
-
3
-
9
-
9

 

 

10
L
I
G
H
T
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
-
-
-
-
-
1
+
=
18
-
=
9
=
9
=
9
`-
-
9
-
8
-
-
-
-
-
19
+
=
38
-
=
9
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-
-
-
-
-
-
-
-
-
-
-
3
-
7
-
2
5
1
4
5
-
+
=
27
2+7
=
9
=
9
=
9
`-
12
-
7
-
20
23
1
22
5
-
+
=
90
7+5
=
9
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
`-
12
9
7
8
20
23
1
22
5
19
+
=
126
1+2+6
=
9
=
9
=
9
-
3
9
7
8
2
5
1
4
5
1
+
=
45
4+5
=
9
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
2
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
3
-
-
-
-
-
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
-
-
-
-
4
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
-
-
-
-
5
-
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
10
L
I
G
H
T
W
A
V
E
S
-
-
39
-
1
12
-
45
-
36
1+0
-
9
-
-
-
-
-
-
-
-
-
-
3+9
-
-
1+2
-
4+5
-
3+6
1
L
I
G
H
T
W
A
V
E
S
-
-
12
-
1
3
-
9
-
9
-
3
9
7
8
2
5
1
4
5
1
-
-
1+2
-
-
-
-
-
-
-
1
L
I
G
H
T
W
A
V
E
S
-
-
3
-
-
3
-
9
-
9

 

 

5
WAVES
70
16
7
9
PARTICLES
103
40
4

 

 

4
WAVE
51
15
6
9
PARTICLES
103
40
4
13
First Total
154
55
10
1+3
Add to Reduce
1+5+4
5+5
1+0
4
Second Total
10
10
1
-
Reduce to Deduce
1+0
1+0
-
4
Essence of Number
1
1
1

 

 

W
=
5
4
WAVE
51
15
6
P
=
7
8
PARTICLE
84
39
3
-
-
12
12
Add to Reduce
135
54
9
-
-
1+2
1+2
Reduce to Deduce
1+3+5
5+4
-
-
-
3
3
Essence of Number
9
9
9

 

 

-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
5
1
4
5
-
7
1
9
2
-
3
3
5
+
=
45
4+5
=
9
=
9
=
9
-
-
23
1
22
5
-
16
1
18
20
-
3
12
5
+
=
126
1+2+6
=
9
=
9
=
9
-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
23
1
22
5
-
16
1
18
20
9
3
12
5
+
=
135
1+3+5
=
9
=
9
=
9
-
-
5
1
4
5
-
7
1
9
2
9
3
3
5
+
=
54
5+4
=
9
=
9
=
9
-
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
-
5
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
14
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
31
-
-
12
-
54
-
36
1+4
1+2
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
3+1
-
-
1+2
-
5+4
-
3+6
5
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9
-
-
5
1
4
5
-
7
1
9
2
9
3
3
5
-
-
-
-
-
-
-
-
-
-
5
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9

 

 

12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
5
1
4
5
-
7
1
9
2
-
3
3
5
+
=
45
4+5
=
9
=
9
=
9
-
23
1
22
5
-
16
1
18
20
-
3
12
5
+
=
126
1+2+6
=
9
=
9
=
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
23
1
22
5
-
16
1
18
20
9
3
12
5
+
=
135
1+3+5
=
9
=
9
=
9
-
5
1
4
5
-
7
1
9
2
9
3
3
5
+
=
54
5+4
=
9
=
9
=
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
-
5
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
12
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
31
-
-
12
-
54
-
36
1+2
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
3+1
-
-
1+2
-
5+4
-
3+6
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9
-
5
1
4
5
-
7
1
9
2
9
3
3
5
-
-
-
-
-
-
-
-
-
-
3
W
A
V
E
-
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9

 

 

12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
5
1
4
5
7
1
9
2
-
3
3
5
+
=
45
4+5
=
9
=
9
=
9
-
23
1
22
5
16
1
18
20
-
3
12
5
+
=
126
1+2+6
=
9
=
9
=
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
23
1
22
5
16
1
18
20
9
3
12
5
+
=
135
1+3+5
=
9
=
9
=
9
-
5
1
4
5
7
1
9
2
9
3
3
5
+
=
54
5+4
=
9
=
9
=
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
2
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
-
-
-
-
-
-
3
3
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
-
5
-
-
5
-
-
-
-
-
-
-
5
-
-
5
occurs
x
3
=
15
1+5
6
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
7
occurs
x
1
=
7
=
7
-
-
-
-
-
-
-
9
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
12
W
A
V
E
P
A
R
T
I
C
L
E
-
-
31
-
-
12
-
54
-
36
1+2
-
-
-
-
-
-
9
-
9
-
-
-
-
-
3+1
-
-
1+2
-
5+4
-
3+6
3
W
A
V
E
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9
-
5
1
4
5
7
1
9
2
9
3
3
5
-
-
-
-
-
-
-
-
-
-
3
W
A
V
E
P
A
R
T
I
C
L
E
-
-
4
-
-
3
-
9
-
9

 

 

S
=
1
-
5
SPEED
49
22
4
O
=
6
-
2
OF
21
12
3
L
=
3
-
5
LIGHT
56
29
2
-
-
10
-
12
-
126
63
9
-
-
1+0
-
1+2
-
1+2+6
6+3
-
-
-
1
-
3
-
9
9
9

 

 

-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
6
-
-
-
9
-
8
-
+
=
24
2+4
=
6
=
6
=
6
-
-
19
-
-
-
-
-
15
-
-
-
9
-
8
-
+
=
51
5+1
=
6
=
6
=
6
-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
7
5
5
4
-
-
6
-
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
-
16
5
5
4
-
-
6
-
12
-
7
-
20
+
=
75
7+5
=
12
1+2
3
=
3
-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
19
16
5
5
4
-
15
6
-
12
9
7
8
20
+
=
126
1+2+6
=
9
=
9
=
9
--
-
1
7
5
5
4
-
6
6
-
3
9
7
8
2
+
=
63
6+3
=
9
=
9
=
9
-
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
5
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
--
-
7
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
27
=
9
45
12
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
45
-
1
12
-
81
-
36
4+5
1+2
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+2
-
8+1
-
3+4
9
3
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
9
-
1
3
-
9
-
9
-
-
1
7
5
5
4
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
3
S
P
E
E
D
-
O
F
-
L
I
G
H
T
-
-
9
-
-
3
-
9
-
9

 

 

-
12
S
P
E
E
D
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
6
-
-
9
-
8
-
+
=
24
2+4
=
6
=
6
=
6
-
-
19
-
-
-
-
15
-
-
9
-
8
-
+
=
51
5+1
=
6
=
6
=
6
-
12
S
P
E
E
D
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
7
5
5
4
-
6
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
-
16
5
5
4
-
6
12
-
7
-
20
+
=
75
7+5
=
12
1+2
3
=
3
-
12
S
P
E
E
D
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
-
-
19
16
5
5
4
15
6
12
9
7
8
20
+
=
126
1+2+6
=
9
=
9
=
9
--
-
1
7
5
5
4
6
6
3
9
7
8
2
+
=
63
6+3
=
9
=
9
=
9
-
12
S
P
E
E
D
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
1
-
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
-
5
5
-
-
-
-
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
2
=
12
1+2
3
7
--
-
7
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
2
=
14
1+4
5
8
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
1
=
27
=
9
45
12
S
P
E
E
D
O
F
L
I
G
H
T
-
-
45
-
1
12
-
81
-
36
4+5
1+2
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+2
-
8+1
-
3+4
9
3
S
P
E
E
D
O
F
L
I
G
H
T
-
-
9
-
1
3
-
9
-
9
-
-
1
7
5
5
4
6
6
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
3
S
P
E
E
D
O
F
L
I
G
H
T
-
-
9
-
-
3
-
9
-
9

 

 

16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
9
-
-
-
-
6
-
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
-
-
-
-
19
-
9
-
-
-
-
15
-
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
6
5
-
2
-
4
1
3
-
-
6
-
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
-
-
6
5
-
20
-
22
1
12
-
-
6
-
12
-
7
-
20
+
=
111
1+1+1
=
3
=
3
=
3
16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
6
5
19
20
9
22
1
12
-
15
6
-
12
9
7
8
20
+
=
171
1+7+1
=
9
=
9
=
9
-
-
6
5
1
2
9
4
1
3
-
6
6
-
3
9
7
8
2
+
=
72
7+2
=
9
=
9
=
9
16
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
3
-
-
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
6
-
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
--
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
45
15
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
45
-
1
15
-
72
-
54
4+5
1+5
-
-
-
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+5
-
7+2
-
5+4
9
6
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
9
-
1
6
-
9
-
9
-
-
6
5
1
2
9
4
1
3
-
6
6
-
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
6
F
E
S
T
I
V
A
L
-
O
F
-
L
I
G
H
T
-
-
9
-
-
6
-
9
-
9

 

 

16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
-
-
1
-
9
-
-
-
6
-
-
9
-
8
-
+
=
33
3+3
=
6
=
6
=
6
`-
-
-
-
19
-
9
-
-
-
15
-
-
9
-
8
-
+
=
60
6+0
=
6
=
6
=
6
16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
-
-
6
5
-
2
-
4
1
3
-
6
3
-
7
-
2
+
=
39
3+9
=
12
1+2
3
=
3
`-
-
6
5
-
20
-
22
1
12
-
6
12
-
7
-
20
+
=
111
1+1+1
=
3
=
3
=
3
16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
-
-
-
-
-
-
-
-
`-
-
6
5
19
20
9
22
1
12
15
6
12
9
7
8
20
+
=
171
1+7+1
=
9
=
9
=
9
-
-
6
5
1
2
9
4
1
3
6
6
3
9
7
8
2
+
=
72
7+2
=
9
=
9
=
9
16
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-T
-
-
-
-
-
-
-
-
-
1
-
-
-
1
-
-
-
1
-
-
-
-
-
-
-
-
-
-
1
occurs
x
2
=
2
=
2
2
-
-
-
-
2
-
-
-
-
-
-
-
-
-
-
2
-
-
2
occurs
x
2
=
4
=
4
3
-
-
-
-
-
-
-
-
3
-
-
3
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
4
-
-
-
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
4
occurs
x
1
=
4
=
4
5
-
-
5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
6
-
6
-
-
-
-
-
-
-
6
6
-
-
-
-
-
-
-
6
occurs
x
3
=
18
1+8
9
7
--
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
9
occurs
x
2
=
18
1+8
9
45
15
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
45
-
1
15
-
72
-
54
4+5
1+5
-
-
-
-
9
-
-
-
-
-
-
9
-
-
-
-
-
4+5
-
-
1+5
-
7+2
-
5+4
9
6
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
9
-
1
6
-
9
-
9
-
-
6
5
1
2
9
4
1
3
6
6
3
9
7
8
2
-
-
-
-
-
-
-
-
-
-
9
6
F
E
S
T
I
V
A
L
O
F
L
I
G
H
T
-
-
9
-
-
6
-
9
-
9

 

 

THE SIRIUS MYSTERY
Robert K.G..Temple 1976

Page 69

A
FAIRYTALE

" Back to Anubis. Wallis Budge says of him:26 'His worship is very ancient, and there is no doubt that even in the earliest times his cult was general in Egypt; it is probable that it is older than that of Osiris.' Also he points out here, as elsewhere, that the face of the deceased human becomes identified with Anubis, and it is just the head of Anubis which is symbolically represented by the jackal or dog. I have already pointed out that he is described as the circle or orbit separating the dark Nephthys from the light Isis or Sirius. In other words, I take Anubis to represent the orbit of Sirius B around Sirius A. We also find him described as 'time',27 a particularly intelligent way of looking at an orbit as progressive and sequential in time. 'Time the devourer', a motif common to us all, is no stranger to the Egyptians. It should not surprise us that Anubis is also represented as a devourer! More specifically, he is accused of
devouring the Apis bull. The Apis bull is the animal into which the dead Osiris was sewn and transported, according to a late legend which is widely known. But more basically, the 'Apis Bull' (the deity known under the Ptolemies as Serapis) is Asar-Hapi. It is Osiris himself! In The Gods of the Egyptians, we read 'Apis is called "the life of Osiris, the lord of heaven" , and 'Apis was, in fact, believed to be animated by the soul of Osiris, and to be Osiris incarnate'. 28
So, consequently, when Anubis devoured Apis, he was eating the husband of Isis! It is very colourfully represented in these dramatic mythological terms, but the meaning is clear.. We read later:29
'Others again are of the opinion that by Anubis is meant Time, and that his denomination of Kuon [the Greek word for 'dog'] does not so much allude to any likeness which he has to the dog, though this be the general rendering of the word, as to that other significance of the term taken from breeding; because Time begets all things out of itself, bearing them within itself, as it were in a womb. But this is one of those secret doctrines which are more fully made known to those who are initiated into the worship of Anubis. '
Exactly. A secret doctrine! What one would give for a fuller account! This is the trouble with most of our sources; they give away little except by inference. Secret doctrines are not scribbled down too frequently and left for posterity. The most secret doctrine" of the Dogon was only revealed with great reluctance after many, many years, and following upon a conference by the initiates. The Egyptians were no fools, and we can hardly expect them to have left papyri or ,texts specifically revealing in so many words what they were not supposed to reveal. We can only try to piece together clues. But we will see our clues eventually turn into a veritable avalanche.
The last passage from Wallis Budge was a quotation by him from Plutarch's 'Isis and Osiris'. Many Egyptologists have remarked on the irony that we have nowhere in Egyptian sources a full, coherent account of Isis and Osiris ­not even in all the sources put together! And we are forced to rely on Plutarch who did preserve a long account which he wrote in his native Greek. Plutarch is thought to have been a priest himself, and was certainly a Delphic initiate.
Page 70
"He had a talent for befriending priests and priestesses. One of his best friends was the priestess Clea of the oracle at Delphi. His treatise 'Isis and Osiris' is dedicated to Clea and addressed to her. It begins with these words: 'All good things, my dear Clea, sensible men must ask from the gods; and especially do we pray that from those mighty gods we may, in our quest, gain a knowledge of themselves, so far as such a thing is attainable by men.' This gives some indication of what Plutarch was like as a man.
The Introduction to the Loeb edition of Isis and Osiris by F. C. Babbitt says: '[Plutarch] once visited Egypt, but how long he stayed and how much he learned we have no means of knowing. It is most likely that his treatise represents the knowledge current in his day, derived, no doubt, from two sources: books and priests.' It is certain that Plutarch's friend Clea, who was so important at Delphi, would have seen to it that Plutarch had ample introductions to leading priests of Egypt. This sort of thing was standard practice - as with the study of Egyptian religion and astronomy undertaken centuries earlier by the Greek scholar Eudoxus (colleague of Plato and Aristotle), who was given a letter of introduction to the last of the native Pharaohs, Nectanebo, by the Spartan general Agesilaus, and who in turn sent him off to associate with his priests. The fact that Plutarch's treatise is addressed to Cl ea may indicate a debt to her for its preparation as well as common religious enthusiasms. So, no doubt Plutarch did with the Egyptian priests what Griaule and Dieterlen did with the Dogon - drew some secret traditions out of them. It is thus not surprising that Plutarch's essay is more respected by Egyptologists than by classicists.
Plutarch says: 'Some are of the opinion that Anubis is Cronos.'30 Chronos, of course, was the Greek 'time the devourer', spelt with an h. Cronos in Latin is Saturn. There is a considerable debate among scholars whether Cronos (Sa turn), the former chief god prior to Zeus (J u pi ter), has any definite relation to the word chronos spelt with the h and sometimes used as a proper name for Time. From this latter word we derive chronology, chronicle, etc. The Sumerian god Anu is quite similar to the Greek Cronos because both Cronos and Anu were 'old' gods who were displaced by younger blood - by Zeus and Enlil respectively. Thus another possible link between Anu and Anubis, if one be willing to grant that Cronos and Chronos are not entirely separate words and concepts in ancient pre-classical Greece.
Wallis Budge continues with reference to Plutarch:
Referring to Osiris as the 'common Reason which pervades both the superior and inferior regions of the universe', he [Plutarch] says that it is, moreover, called 'Anubis, and sometimes likewise Hermanubis (i.e. Heru-em-Anpu); the first of these names expressing the relation it has to the superior, as the latter, to the inferior world. And for this reason it is, they sacrifice to him two Cocks, the one white, as a proper emblem of the purity and brightness of things above, the other of a saffron colour, expressive of that mixture and variety which is to found on those lower regions.'
Here is what I take to be a possible reference to the white Sirius A and the 'darker' Sirius B. But also, the 'lower regions' are the horizons, where white heavenly bodies at their 'births' and 'deaths' become saffron-coloured.
There is a clearer translation by Babbitt in the precise description of Anubis / Page 71 / as 'the combined relation of the things'31 rather than as 'the common Reason which pervades' the light world and the dark world. A circular orbit is just that - 'a combined relation' between the star revolving and the star revolved around. In order to make this more firmly established less as fancy than as fact, I shall cite Plutarch's words from his next paragraph (Babbitt's translation):
'Moreover, they (the Egyptians) record that in the so-called books of Hermes (the Trismegistic literature?) it is written in regard to the sacred names that they call the power which is assigned to direct the revolution of the Sun Horus . . .'
This is important because we see here that they specifically call the orbit of the sun by a god's name. If they can call the revolution of the sun by a god's name, they can call the revolution of Sirius B (assuming they really knew about it) by a god's name. We are dealing with a precedent. Now we resume this quotation because it is interesting for other reasons: '. . . but the Greeks call it Apollo; and the power assigned to the wind some call Osiris and others Serapis; and Sothis in Egyptian signifies "pregnancy" (cyesis) or "to be pregnant" (cyein): therefore in Greek, with a change of accent, the star is called the Dog-star (Cyon), which they regard as the special star of Isis.'
A further piece of information from Plutarch about Anubis is :32 'And when the child (Anubis, child of Nephthys by Osiris) had been found, after great toil and trouble, with the help of dogs which led Isis to it, it was brought up and became her guardian and attendant, receiving the name Anubis, and it is said to protect the gods just as dogs protect men.'
If Anubis is conceived of as an orbit around Sirius, then he would indeed be attendant upon Isis! He would go round and round her like a guard dog.
Plutarch has an interesting tale: 'Moreover, Eudoxus says that the Egyptians have a mythical tradition in regard to Zeus that, because his legs were grown together, he was not able to walk. . .'33 This sounds very like the amphibious Oannes of the Sumerians who had a tail for swimming instead of legs for walking.
Plutarch provides us with an important and crucial clue linking Isis with the Argo and the Argonauts and demonstrating a probable derivation of an idea that has puzzled classicists enormously (and later on we shall see the links between Isis and the Argo considerably elaborated): 'Like these also are the Egyptian beliefs; for they often times call 1sis by the name of Athena, expressive
of some such idea as this, "I came of myself," which is indicative of self­impelled motion. '34
I t must be remembered that the Greek goddess Athena, the goddess of the mind and of wisdom, was reputed to have sprung full-fledged from the brow of Zeus. She was not born. She came of herself. However, the quotation must be continued to make the point:
Typhon, as has been said, is named Seth and Bebon and Smu, and these names would indicate some forcible and preventive check or opposition or reversal.
Moreover, they call the lodestone the bone of Horus, and iron the bone of Typhon, as Manetho records. For, as the iron oftentimes acts as if it were being attracted and drawn toward the stone, and oftentimes is rejected / Page 72 / and repelled in the opposite direction, in the same way the salutary and good and rational movement of the world at one time, by persuasion, attracts and draws towards itself and renders more gentle that harsh and Typhonian movement, and then again it gathers itself together and reverses it and plunges it into difficulties.
The identification of Isis with Athena here in connection with lodes tones and 'self-impelled motion' brings to mind the placing by Athena of a cybernetic* oak timber from the holy sanctuary of Dodona (supposedly founded by Deukalion, the Greek Noah, after his ark landed) in the keel of the Argo. H. W. Parke in his books Greek Oracles and The Oracles of Zeus refers to this: 'Athena when the Argo was built took a timber from the oak tree of Dodona (the oracular centre of Zeus) and fitted it into the keel. This had the result that the Argo itself could speak and guide or warn the Argonauts at critical moments, as it actually is represented as doing in our extant epics on the subject. The original epic is lost, but there is no reason to doubt that this miraculous feature went back to it, and, if so, was at least as old as the Odyssey in which the Argo and its story are mentioned.' Parke then emphasizes most strongly that it is the timber itself that acts as guide. It is self-sufficient and not merely an oracular medium. Thus we see that the Argo had a unique capacity for 'self­impelled motion' which was built into it by Athena (whom Plutarch identifies with Isis). 35
Now is a suitable stage to return to the Sumerians, as in their culture we shall find many significant references to 'fifty heroes', 'fifty great gods', etc. But first we shall leave the fifty Argonauts and their magical ship to turn our attention to what appears to be a rather precise Egyptian description of the Sirius system preserved in an unusual source. The source is G. R. S. Mead (who was a friend of the poet Yeats and is mentioned by his nickname 'Old Crore' in Ezra Pound's Cantos), whose three-volume Thrice Greatest Hermes36 contains a translation of, with extensive prolegomena and notes to, the obscure and generally ignored ancient 'Trismegistic literature' of the Hermetic tradition. These writings are largely scorned by classical scholars who consider them Neoplatonic forgeries. Of course, ever since the wild Neoplatonic boom in the Italian Renaissance period when Marsilio Ficino translated and thereby preserved for posterity (one must grant the Medicis the credit for finding and purchasing the manuscripts!) such Neoplatonists as Iamblichus, as well as these Trismegistic writings, the Neoplatonists have been in the doghouse. The Loeb Classical Library still has not published all of Plotinus even now.
But most readers will not be familiar either with the term 'trismegistic' or with the Neoplatonists. So I had better explain. The Neoplatonists are Greek philosophers who lived long enough after Plato to have lost the name of Platonists as far as modern scholars are concerned (though they were intellectual disciples of Plato and considered themselves Platonists). Modern scholars have added the prefix 'Neo-' to 'Platonist' for their own convenience, in order to / Page 73 / distinguish them from their earlier predecessors, those Platonists who lived within 150 years of Plato himself. The Platonic Academy existed for over nine centuries at Athens. In actuality, scholars talk about 'Middle Platonists', 'Syrian Platonists', 'Christian Platonists', 'Alexandrian Platonists', and so on. I suggest the reader look at my Appendix I, which will tell him a lot about the Neoplatonists and their connection with the Sirius mystery, and which deals primarily with Proclus.
G. R. S. Mead, at the beginning of his work Thrice Greatest Hermes, explains fully what 'the Trismegistic Literature' is. He calls it 'Trismegistic' instead of by its earlier designation 'Hermetic' (from the name of the Greek god Hermes) in order to distinguish it from other less interesting writings such as the Egyptian Hermes prayers and also the 'Hermetic Alchemical Literature'. The Trismegistic writings are now fragmentary and consist of a large amount of exceedingly strange sermons, dialogues, excerpts by Stobaeus and the Fathers of the Church from lost writings, etc. I hesitate to give a brief summary of them and suggest that the interested reader actually look into this subject himself. There are some matters which defy summary, and I consider this to be one of them. The writings contain some 'mystical' elements and certainly some sublime elements. Old Cosimo de Medici was told by Ficino that he could translate for him either the Hermetic Literature or the dialogues of Plato, but not both at once. Cosimo knew he was dying. He said something like: 'If only I could read the Books of Hermes, I would die happy. Plato would be nice but not as important. Do the Hermes, Ficino.' And Ficino did.
As I explain fully in Appendix I, the Neoplatonists are so thoroughly despised through the bias of the moment, however one cares to define that bias, that "the Trismegistic literature suffers with Neoplatonism under the onus of being considered too far removed from reality and logic and being inclined towards the mystical. This does not fit well with the hard rationalism of an age still bound by the (albeit decaying) fetters of nineteenth-century scientific deterministic prejudice. The sublime irony is, of course, that proven and authentic Egyptian texts are obviously mystical, but that is considered all right. However, as long as there is a belief that the Trismegistic literature is Neoplatonic it will be despised because it is mystical.
The Trismegistic literature may be Neoplatonic. But that does not make what it has to say about Egyptian religion any less valid per se than the 'Isis and Osiris' by the Greek Plutarch, who was only slightly earlier in time than the Neoplatonist Greeks. It is time for scholars to pay some attention to this sadly neglected material. Much of the Trismegistic literature probably goes back to genuine sources or compilations such as Manetho's lost Sothis. Or the literature may be quite ancient, in which case some of it cannot, in its present form, be earlier than the Ptolemaic period when the Zodiac as we know it was introduced into Egypt by the Greeks who in turn had it from Babylon. (I cannot here discuss the matter of earlier forms of zodiac, such as at Denderah.)
Mead quotes an Egyptian magic papyrus, this being an uncontested Egyptian document which he compares to a passage in the Trismegistic literature: 'I invoke thee, Lady Isis, with whom the Good Daimon doth unite, He who is Lord in the perfect black. '37
We know that Isis is identified with Sirius A, and here we may have a / Page 74 / description of her star-companion 'who is Lord in the perfect black', namely the invisible companion with whom she is united, Sirius B.
Mead, of course, had no inkling of the Sirius question. But he cited this magic papyrus in order to shed comparative light on some extraordinary passages in a Trismegistic treatise he translated which has the title 'The Virgin of the World'. In his comments on the magic papyrus Mead says: 'It is natural to make the Agathodaimon ("the Good Daimon") of the Papyrus refer to Osiris; for indeed it is one of his most frequent designations. Moreover, it is precisely Osiris who is pre-eminently connected with the so-called "under­world", the unseen world, the "mysterious dark". He is lord there. . . and indeed one of the ancient mystery-sayings was precisely, "Osiris is a dark God." ,
'The Virgin of the World' is an extraordinary Trismegistic treatise in the form of a dialogue between the hierophant (high priest) as spokesman for Isis and the neophyte who represents Horus. Thus the priest instructing the initiate is portrayed as Isis instructing her son Horus.
The treatise begins by claiming it is 'her holiest discourse' which 'so speaking Isis doth pour forth'. There is, throughout, a strong emphasis on the hierarchical principle of lower and higher beings in the universe - that earthly mortals are presided over at intervals by other, higher, beings who interfere in Earth's affairs when things here become hopeless, etc. Isis says in the treatise: 'It needs must, therefore, be the less should give place to the greater mysteries.' What she is to disclose to Horus is a great mystery. Mead describes it as the mystery practised by the arch-hierophant. It was the degree (here 'degree' is in the sense of 'degree' in the Masonic 'mysteries', which are hopelessly garbled and watered-down versions of genuine mysteries of earlier times) 'called the "Dark Mystery" or "Black Rite". It was a rite performed only for those who were judged worthy of it after long probation in lower degrees, something of a far more sacred character, apparently, than the instruction in the mysteries enacted in the light.'
Mead adds: 'I would suggest, therefore, that we have here a reference to the most esoteric institution of the Isiac tradition. . .', Isiac meaning of course 'Isis-tradition', and not to be confused with the Book of Isaiah in the Bible (so that perhaps it is best for us not to use the word-form 'Isiac').
It is in attempting to explain the mysterious 'Black Rite' of Isis at the highest degree of the Egyptian mysteries that Mead cited the magic papyrus which I have already quoted. He explains the 'Black Rite' as being connected with Osiris being a 'dark god' who is 'Lord of the perfect black' which is 'the unseen world, the mysterious black'.
This treatise 'The Virgin of the World' describes a personage called Hermes who seems to represent a race of beings who taught earthly mankind the arts of civilization after which: 'And thus, with charge unto his kinsmen of the Gods to keep sure watch, he mounted to the Stars'.
According to this treatise mankind have been a troublesome lot requiring scrutiny and, at rare intervals of crisis, intervention.
After Hermes left Earth to return to the stars there was or were in Egypt someone or some people designated as 'Tat' (Thoth) who were initiates into the celestial mysteries. I take this to refer to the Egyptian priests. However, one of the most significant passages in the treatise follows immediately upon this / Page 75 / statement, and indicates to me that this treatise must have some genuine Egyptian source, for no late Greek should have been capable of incorporating this. But in order to recognize this one must know about the extraordinary Imhotep, a brilliant genius, philosopher, doctor, and Prime Minister (to use our terms) during the Third Dynasty in Egypt circa 2600 B.O. under King Zoser, whose tomb and temple he constructed and designed himself. (This is the famous step-pyramid at Sakkara, the first pyramid ever built and the world's earliest stone building according to some.) Imhotep was over the centuries gradually transformed into a god and 'a son of Ptah'. One reason why the process of his deification may have been retarded for some thousands of years is that writings by him survived, rather like the survival of the Gathas by Zarathustra (Zoroaster), making it impossible to claim that a man who left writings could in fact have been a god. Just like Mohammed and Zoroaster, Imhotep remained a sort of 'prophet' through his surviving writings.
For the significant passage, now, here is the entire paragraph: 'To him (Hermes) succeeded Tat, who was at once his son and heir unto these knowledges [this almost certainly implies a priesthood] ; and not long afterwards Asclepius­Imuth, according to the will of Ptah who is Hephaestus, and all the rest who were to make enquiry of the faithful certitude of heavenly contemplation, as Foreknowledge (or Providence) willed, Foreknowledge queen of all.'
Now this is a really striking passage. We have the mysterious 'Hermes' succeeded by an Egyptian priesthood of Thoth. Then 'not long afterwards' we have someone called Asclepius-Imuth 'according to the will of Ptah'. This is Imhotep! Ptah, known to the Greeks as Hephaestus, was considered the father of Imhotep in late Egyptian times. In fact, it is interesting that this text avoids the late form 'son of Ptah' to describe Imhotep. Imhotep was known to the Greeks and provided the basis for their god Asclepius (the Greek god of medicine, corresponding to Imhotep's late form as Egyptian god of medicine). Imhotep is also spelled Imouthes, Imothes, Imutep, etc. Hence the form in this treatise 'Asclepius-Imuth'.
There is absolutely no question that Imhotep is being referred to here. And in the light of that, certain other statements in this passage become quite interesting.
It has already been mentioned that in a treatise like 'The Virgin of the World', where gods' names are thrown round like birdseed, the authors were exceedingly restrained to have avoided labelling Asclepius-Imhotep as 'a son of Ptah-Hephaestus'. This may, indeed, point to a genuine early source from the time before that when the Egyptians ceased to regard Imhotep as a mortal.
Hurry says :38
For many years Egyptologists have been puzzled to explain why Imhotep, who lived in the days of King Zoser, ca. 2900 B.O., was not ranked among the full gods of Egypt until the Persian period, dating from 525 B.O. The apotheosis of a man, however distinguished, so many centuries after his life on earth seems mysterious. The explanation appears to be that first
suggested by Erman, viz. that Imhotep, at any rate during a large part of the interval was regarded as a sort of hero or demigod and received semi­divine worship. Erman suggested that this rank of demigod was bestowed / Page 76 / on him at the time of the New Kingdom, i.e. about 1580 B.C., but more recent evidence seems to indicate that this demigod stage was reached at a much earlier period.
Here a bit of chronology helps. 'The Virgin of the World' correctly described Imhotep as 'not long afterwards', following upon the creation of the Egyptian priesthood, presumably in the First Dynasty after Menes, in the form in which it would be known after the unification of Egypt. Imhotep lived in the Third Dynasty, at the beginning of the Old Kingdom. I. E. S. Edwards39 estimates this as commencing about 2686 B.G. He puts the start of the First Dynasty about 3100 B.G. Imhotep is thus literally 'not long afterwards'. Whoever wrote 'The Virgin of the World' knew his Egyptian chronology and also did not call Imhotep 'son of Ptah'.
There is another point. Looking at this statement from 'The Virgin of the World': '. . . and all the rest (i.e. after Imhotep) who were to make enquiry of the faithful certitude of heavenly contemplation. . .', we find that we have a
reference to successors of Imhotep who 'enquired' into the riddles of the universe and also a description of Imhotep's own activities as an 'enquirer'. This also is accurate and reflects considerable knowledge of the subject. For Imhotep is often described as the first genuine philosopher known by name.
And on p. 30 of his book, Hurry refers to apparent successors mentioned in an Oxyrhyncus papyrus (in Greek, edited by Grenfell and Hunt) which relates that 'Imhotep was worshipped as early as the IVth Dynasty, and his temple was resorted to by sick and afflicted persons'. Hurry further says: 'The other persons are Horus son of Hermes, and Kaleoibis son of Apollo (Imhotep being a son of Pta h) ; it is not known who these were.' Could they have been successors
of Imhotep at 'enquiring'? It seems likely that we shall be learning more of these people as excavations in Egypt proceed. In 1971-2 there came to light at Sakkara a remarkable group of texts written by a man named Hor (from Horus), describing his life at an Egyptian temple in the Ptolemaic period, recounting his dreams and his political encounters. These texts should have been published by 1976 by the Egypt Exploration Society.
Hurry refers to the Trismegistic (Hermetic) literature as follows: 'If the references to Imhotep in Hermetic literature can be trusted, he was also interested in astronomy and astrology, although no special observations are associated with his name. Sethe gives various references to that literature, showing that Imhotep was reputed to have been associated with the god Thoth (Hermes) in astronomical observations.'4o Obviously Imhotep, as chief priest under King Zoser (for he held that office as well), was associated with Thoth
(Tat) in the form of the priesthood previously mentioned who had the 'Dark Rite' as their highest mystery. Here is actual confirmation, then, that it was astronomical matters with which they dealt. In other words, my astronomical interpretation receives some confirmation from this source as well. It is nice when loose ends tie up.
Inscriptions in a temple at Edfu built by Ptolemy In Euergetes I (237 B.G.) describe Imhotep as 'the great priest Imhotep the son of Ptah, who speaks or lectures'. Hurry says 'Imhotep enjoyed the reputation of being "one of the greatest of Egyptian sages" ;41 his fame for wisdom made so deep an impression / Page 77 / on his countrymen that it endured as a national tradition for many centuries.
'As regards his literary activities, he is said to have produced works on medicine and architecture, as well as on more general subjects, and some of his works were extant at the dawn of the Christian era. . . . his eminence as a man of letters led him to be recognized as the "patron of scribes." ,
In other words, he was the first great philosopher. And he obviously 'spoke and lectured' in his lifetime. Perhaps he was the first classical Greek in prototype. We also have something to look forward to - his tomb has yet to be discovered. It is thought to be at Sakkara, and the late Professor Emery more than once thought he had come close to discovering it in his excavations there, which are now being carried on by Professor Smith, who is a man with a strange enough aura about him to convince anyone that he is capable of making a discovery which would be the most important in archaeological history and beside which the minor and later tomb of a boy Pharaoh named Tutankhamen would entirely pale by comparison. But perhaps the most interesting thing about the possible forthcoming discovery of Imhotep's tomb is that it will almost certainly be full of books. Would a man like Imhotep be buried without them?
Bearing these books in mind (and I am sure they are there waiting under­ground like a time bomb for us), it is interesting to read this passage in 'The Virgin of the World' following shortly upon that previously quoted:
The sacred symbols of the cosmic elements were hid away hard by the secrets of Osiris. Hermes, ere he returned to Heaven, invoked a spell on them, and spake these words: . . . 'O holy books, who have been made by my immortal hands, by incorruption's magic spells. . . (at this point there is a lacuna as the text is hopeless) . . . free from decay throughout eternity remain and incorrupt from time! Become unseeable, unfindable, for every one whose foot shall tread the plains of this land, until old Heaven doth bring forth meet instruments for you, whom the Creator shall call souls.'
Thus spake he; and, laying spells on them by means of his own works, he shut them safe away in their own zones. And long enough the time has been since they were hid away.
In the treatise the highest objective of ignorant men searching for the truth
is described as: '(Men) will seek out. . . the inner nature of the holy spaces which no foot may tread, and will chase after them into the height, desiring to observe the nature of the motion of the Heaven.
'These are as yet moderate things. For nothing more remains than Earth's remotest realms; nay, in their daring they will track out Night, the farthest Night of all.'
We 'will chase out into the height' of space to 'observe the nature of the motions of the Heavens', says this old (indeterminately old) treatise. How correct it was. We have now landed on the moon, which is 'chasing out into the height' with a vengeance. And we are indeed 'observing the nature of the motion of the Heavens'. And the treatise is also right in saying that 'these are yet moderate things'. For, as everyone knows, the people in the space programme feel as if they have only just begun. Man will only pause properly again when he has made the entire solar system his familiar and his own. Then we shall / Page 78 / be faced with the limitations of our solar system and the barrier that separates it from the stars. What then ? Yes, what we have done to date certainly deserves the description of 'yet moderate things'. Vasco da Gama may have congratulated himself on his brilliant navigational accomplishments, but as we can clearly see in his case, a beginning is only a beginning. It is 'yet moderate things'.
According to the treatise, after these moderate things we shall 'in our daring' even learn the greatest secret. . . we shall discover 'Night'. And the meaning of the 'Dark Rite' will become clear. And as this rite and this mystery concern Isis and the star Sirius and by the context of this prophecy clearly concerns the heavens, can we be accused of sensationalism in making the suggestion that nothing would shake up the human race more than having the discovery of intelligent life elsewhere in the universe proven for the first time? And what if the dark companion of Sirius really does hold the answer to this mystery? What if the nearest centre of civilization really is based at the Sirius system and keeps a watchful eye on us from time to time? What if this is proven by our detecting on our radio telescopes actual traces of local radio communica.. tions echoing down those nine light years of space in the vast spreading ripple of disintegrating signals that any culture remotely near to us in development would be bound to dribble forth into the surrounding universe? What if this happens ? It will be like the sky falling in, won't it?
Page 72
"* Norbert Wiener in Cybernetics, the pioneer textbook of computer theory, said: 'We have decided to call the entire field of control and communication theory, whether in the machine or
in the animal) by the name Cybernetics. . . (from the Greek for) steersman.'

 

 

A
HISTORY OF GOD
Karen Armstrong
The God of the Mystics

THE BOOK OF CREATION

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

 

 

 
 
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