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Evokation
  
 
Index
  

 

AVATAR 9 9 AVATAR

 

 

THE NUCLEAR FAMILY 1969

 

 

 

I AM THE OPPOSITE OF THE OPPOSITE I AM THE OPPOSITE OF OPPOSITE IS THE AM I ALWAYS AM

 

F
=
6
9
FRATERNAL
95
41
5
G
=
7
9
GREETINGS
104
50
5
C
=
3
8
CHILDREN
73
46
1
O
=
6
2
OF
21
12
3
T
=
2
3
THE
33
15
6
R
=
9
7
RAINBOW
82
37
1
L
=
3
5
LIGHT
56
29
2
-
-
36
43
First Total
464
230
23
-
-
3+6
4+3
Add to Reduce
4+6+4
2+3+0
2+3
Q
-
9
7
Second Total
14
5
5
-
-
-
-
Reduce to Deduce
1+4
-
-
-
-
9
7
Essence of Number
5
5
5

 

 

 

 

Y
=
3
``-
3
YOU
61
16
7
A
=
1
-
3
ARE
24
15
6
G
=
7
-
5
GOING
52
34
7
O
=
6
-
2
ON
29
11
2
A
=
1
-
1
A
1
1
1
J
=
1
``-
7
JOURNEY
108
36
9
A
=
1
-
1
A
1
1
1
V
=
4
-
4
VERY
70
25
7
S
=
1
-
7
SPECIAL
65
29
2
J
=
1
-
7
JOURNEY
108
36
9
D
=
4
``-
2
DO
19
10
1
H
=
8
-
4
HAVE
36
18
9
A
=
1
-
1
A
1
1
1
P
=
7
-
8
PLEASANT
88
25
7
J
=
1
-
7
JOURNEY
108
36
9
D
=
4
``-
2
DO
19
10
1
``-
-
55
``-
54
First Total
790
304
79
-
-
5+5
-
5+4
Add to Reduce
7+9+0
3+0+4
7+9
-
-
10
-
9
Second Total
16
7
16
-
-
1+0
-
-
Reduce to Deduce
1+6
-
1+6
-
-
1
-
9
Essence of Number
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
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
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
3
=
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

 

 

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 = 351 = Z Y X W V U T S R Q P O N M L K J I H G F E D C B A

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 = 126 = Z Y X W V U T S R Q P O N M L K J I H G F E D C B A

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 = Z Y X W V U T S R Q P O N M L K J I H G F E D C B A

 

ABCDEFGH I JKLMNOPQ R STUVWXYZ = 351 = ZYXWVUTS R QPONMLKJ I HGFEDCBA

ABCDEFGH I JKLMNOPQ R STUVWXYZ = 126 = ZYXWVUTS R QPONMLKJ I HGFEDCBA

ABCDEFGH I JKLMNOPQ R STUVWXYZ = 9 = ZYXWVUTS R QPONMLKJ I HGFEDCBA

 

BEYOND THE VEIL ANOTHER VEIL ANOTHER VEIL BEYOND

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

....

 

 

 

O
=
6
-
3
OUT
56
11
2
O
=
6
-
2
OF
21
12
3
Z
=
8
-
4
ZERO
64
28
1
C
=
3
-
6
COMETH
64
28
1
O
=
6
-
3
ONE
34
16
7
Q
Q
29
Q
18
Q
239
95
14
-
-
2+9
-
1+8
-
2+3+9
9+5
1+4
-
-
11
-
9
-
14
14
5
-
-
1+1
-
-
-
1+4
1+4
-
-
-
2
-
9
-
5
5
5

 

 

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 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

 

 

6
DIVINE
63
36
9
10
REVELATION
121
49
4
-
-
-
-
13
8
THIRTEEN
99
45
9

 

 

17
I
N
E
X
H
A
U
S
T
I
B
L
E
-
M
I
N
D
-
-
-
-
4
-
-
4
-
4
4
9
5
4
6
8
4
4
1
4
9
4
4
4
-
-
9
5
4
+
=
52
5+2
=
7
-
7
-
7
4
9
14
4
24
8
4
4
19
4
9
4
4
4
-
-
9
14
4
+
=
106
1+0+6
=
7
-
7
-
7
17
I
N
E
X
H
A
U
S
T
I
B
L
E
-
M
I
N
D
-
-
-
-
4
-
-
4
-
4
4
4
4
5
4
4
1
3
4
2
4
2
3
5
-
4
-
-
4
+
=
29
2+9
=
11
1+1
2
-
2
4
4
4
5
4
4
1
21
4
20
4
2
12
5
-
13
-
-
4
+
=
83
8+3
=
11
1+1
2
-
2
17
I
N
E
X
H
A
U
S
T
I
B
L
E
-
M
I
N
D
-
-
-
-
4
-
-
4
-
4
4
9
14
5
24
8
1
21
19
20
9
2
12
5
-
13
9
14
4
+
=
189
1+8+9
=
18
1+8
9
-
9
4
9
5
5
6
8
1
3
1
2
9
2
3
5
-
4
9
5
4
+
=
81
8+1
=
9
-
9
-
9
17
I
N
E
X
H
A
U
S
T
I
B
L
E
-
M
I
N
D
-
-
-
-
4
-
-
4
-
4
-
2
-
-
-
1
1
1
1
1
1
1-
1
-
-
-
1
1-
1
-
-
1
occurs
x
2
=
2
=
2
-
2
-
-
-
3
-
-
-
2
-
2
-
-
-
2
-
2
-
-
-
2
occurs
x
2
=
4
=
4
-
-
-
-
-
3
-
3
4
4
-
-
3
-
-
-
-
-
-
-
-
3
occurs
x
2
=
6
=
6
-
-
-
-
-
3
-
-
4
4
-
-
-
-
-
4
-
-
4
-
-
4
occurs
x
2
=
8
=
8
-
-
5
5
-
-
-
-
-
-
-
-
5
5
-
-
-
5
5
-
-
5
occurs
x
4
=
20
2+0
2
-
6
-
-
6
4
-
-
-
4
-
-
-
-
-
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
7
-
7
-
4
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
4
-
-
4
-
4
-
-
-
-
-
8
-
-
-
4
-8
-
-
-
-
-
-8
-
-
-
-
8
occurs
x
1
=
8
=
8
-
9
-
-
-
-
-
-
-
-
9
-8
-
-
-
-
9
-
-
-
-
9
occurs
x
3
=
27
2+7
9
17
I
N
E
X
H
A
U
S
T
I
B
L
E
-
M
I
N
D
-
-
38
-
-
17
-
81
-
45
-
9
-
-
-
-
-
-
-
-
9
-
-
-
-
-
9
-
-
-
-
3+8
-
-
1+7
-
8+1
-
4+5
17
I
N
E
X
H
A
U
S
T
I
B
L
E
-
M
I
N
D
-
-
11
-
-
8
-
9
-
9

 

 

13
INEXHAUSTIBLE
-
-
-
-
I
9
9
9
-
N+E+X
43
16
7
-
H+A
9
9
9
-
U+S+T
60
15
6
-
I
9
9
9
-
B+L+E
19
10
1
13
INEXHAUSTIBLE
149
59
41
4
MIND
40
22
4
17
-
189
81
45
1+7
-
1+8+9
8+1
4+5
8
-
9
9
9
-
-
1+8
-
-
8
-
9
9
9

 

 

-
INEXHAUSTIBLE MIND
-
-
-
13
INEXHAUSTIBLE
149
59
5
4
MIND
40
22
4
17
INEXHAUSTIBLE MIND
189
81
9
1+7
-
1+8+9
8+1
-
8
INEXHAUSTIBLE MIND
9
9
9
-
-
1+8
-
-
8
INEXHAUSTIBLE MIND
9
9
9

 

 

1
I
9
9
9
2
AM
14
5
5
4
THAT
49
13
4
13
INEXHAUSTIBLE
149
59
5
4
MIND
40
22
4
24
-
261
108
27
2+4
-
2+6+1
1+0+8
2+7
6
TO
9
9
9

 

 

1
I
9
9
9
4
THAT
49
13
4
2
AM
14
5
5
9
UNIVERSAL
121
40
4
4
LIFE
32
23
5
4
KNOW
63
18
9
2
ME
18
9
9
26
-
306
117
45
2+6
-
3+0+6
1+1+7
4+5
8
TO
9
9
9

 

 

-
I HAVE COME
-
-
-
1
I
9
9
9
2
H+A
9
9
9
2
V+E
27
9
9
2
C+O
18
9
9
2
M+E
18
9
9
9
I HAVE COME
81
45
45
-
-
8+1
4+5
4+5
9
I HAVE COME
9
9
9

 

 

I
=
9
-
1
I
9
9
9
T
=
2
-
4
THAT
49
13
4
A
=
1
-
2
AM
14
5
5
-
-
12
Q
7
Add to Reduce
72
27
18
-
-
1+2
-
-
Reduce to Deduce
7+2
2+7
1+8
-
-
3
-
7
Essence of Number
9
9
9

 

 

-
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
-
9
-
-
8
-
-
-
-
-
+
=
17
1+7
=
8
=
8
-
-
9
-
-
8
-
-
-
-
-
+
=
17
1+7
=
8
=
8
-
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
-
-
-
2
-
1
2
-
1
4
+
=
10
1+0
=
1
=
1
-
-
-
-
20
-
1
20
-
1
13
+
=
55
5+5
=
10
1+0
1
-
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
-
9
-
20
8
1
20
-
1
13
+
=
72
7+2
=
9
=
9
-
-
9
-
2
8
1
2
-
1
4
+
=
27
2+7
=
9
=
9
-
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
occurs
x
2
=
2
-
``-
-
-`
2
-
-
2
-
-
-
-
-
2
occurs
x
2
=
4
3
-
-
-
-
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
5
-
-
-
-
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
6
-
-
-
-
-
-
-
-
-
-
-
-
6
SIX
6
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
7
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
21
7
I
-
T
H
A
T
-
A
M
-
-
24
-
-
7
-
27
2+1
-
9
-
-
-
-
-
-
-
-
-
-
2+4
-
-
-
-
2+7
3
7
I
-
T
H
A
T
-
A
M
-
-
6
-
-
7
-
9
2+1
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
7
I
-
T
H
A
T
-
A
M
-
-
6
-
-
7
-
9

 

 

7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
9
-
-
8
-
-
-
-
-
+
=
17
1+7
=
8
=
8
-
9
-
-
8
-
-
-
-
-
+
=
17
1+7
=
8
=
8
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
-
-
2
-
1
2
-
1
4
+
=
10
1+0
=
1
=
1
-
-
-
20
-
1
20
-
1
13
+
=
55
5+5
=
10
1+0
1
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
9
-
20
8
1
20
-
1
13
+
=
72
7+2
=
9
=
9
-
9
-
2
8
1
2
-
1
4
+
=
27
2+7
=
9
=
9
7
I
-
T
H
A
T
-
A
M
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
-
-
-
1
occurs
x
2
=
2
``-
-
-`
2
-
-
2
-
-
-
-
-
2
occurs
x
2
=
4
-
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
-
8
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
7
I
-
T
H
A
T
-
A
M
-
-
24
-
-
7
-
27
-
9
-
-
-
-
-
-
-
-
-
-
2+4
-
-
-
-
2+7
7
I
-
T
H
A
T
-
A
M
-
-
6
-
-
7
-
9
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
7
I
-
T
H
A
T
-
A
M
-
-
6
-
-
7
-
9

 

 

I
=
9
-
1
I
9
9
9
S
=
1
-
3
SEE
29
11
2
Y
=
7
-
3
YOU
61
16
7
-
-
17
Q
7
First Total
99
36
18
-
-
1+7
-
-
Add to Reduce
9+9
3+6
1+8
-
-
8
-
7
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
8
-
7
Essence of Number
9
9
9

 

 

-
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
9
-
1
-
-
-
-
6
-
+
=
16
1+6
=
7
=
7
=
7
-
-
9
-
19
-
-
-
-
15
-
+
=
43
4+3
=
7
=
7
=
7
-
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
7
-
3
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
-
5
5
-
25
-
21
+
=
56
5+6
=
11
1+1
2
=
2
-
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
9
-
19
5
5
-
25
15
21
+
=
99
9+9
=
18
1+8
9
=
9
-
-
9
-
1
5
5
-
7
6
3
+
=
36
3+6
=
9
=
9
=
9
-
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
2
``-
-
-`
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
=
3
4
-
-
-
-
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
5
5
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
14
7
I
-
S
E
E
-
Y
O
U
-
-
31
-
-
7
-
36
-
27
1+4
-
-
-
-
5
5
-
-
-
-
-
-
3+1
-
-
-
-
2+7
-
2+7
5
7
I
-
S
E
E
-
Y
O
U
-
-
4
-
-
7
-
9
-
9
-
-
9
-
1
5
5
-
7
6
3
-
-
-
-
-
-
-
-
-
-
5
7
I
-
S
E
E
-
Y
O
U
-
-
4
-
-
7
-
9
-
9

 

 
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
9
-
1
-
-
-
-
6
-
+
=
16
1+6
=
7
=
7
=
7
-
9
-
19
-
-
-
-
15
-
+
=
43
4+3
=
7
=
7
=
7
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
5
-
7
-
3
+
=
20
2+0
=
2
=
2
=
2
-
-
-
-
5
5
-
25
-
21
+
=
56
5+6
=
11
1+1
2
=
2
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
9
-
19
5
5
-
25
15
21
+
=
99
9+9
=
18
1+8
9
=
9
-
9
-
1
5
5
-
7
6
3
+
=
36
3+6
=
9
=
9
=
9
7
I
-
S
E
E
-
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
=
3
-
-
-
-
5
5
-
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
9
-
-
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
I
-
S
E
E
-
Y
O
U
-
-
31
-
-
7
-
36
-
27
-
-
-
-
5
5
-
-
-
-
-
-
3+1
-
-
-
-
2+7
-
2+7
7
I
-
S
E
E
-
Y
O
U
-
-
4
-
-
7
-
9
-
9
-
9
-
1
5
5
-
7
6
3
-
-
-
-
-
-
-
-
-
-
7
I
-
S
E
E
-
Y
O
U
-
-
4
-
-
7
-
9
-
9

 

 
I
S
E
E
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
9
1
-
-
-
6
-
+
=
16
1+6
=
7
=
7
=
7
-
9
19
-
-
-
15
-
+
=
43
4+3
=
7
=
7
=
7
7
I
S
E
E
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
-
5
5
7
-
3
+
=
20
2+0
=
2
=
2
=
2
-
-
-
5
5
25
-
21
+
=
56
5+6
=
11
1+1
2
=
2
7
I
S
E
E
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
9
19
5
5
25
15
21
+
=
99
9+9
=
18
1+8
9
=
9
-
9
1
5
5
7
6
3
+
=
36
3+6
=
9
=
9
=
9
7
I
S
E
E
Y
O
U
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
-
3
-
-
3
occurs
x
1
=
3
=
3
-
-
-
5
5
-
-
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
-
-
-
-
6
-
-
-
6
occurs
x
1
=
6
=
6
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
-
9
-
-
-
-
-
-
-
-
9
occurs
x
1
=
9
=
9
7
I
S
E
E
Y
O
U
-
-
31
-
-
7
-
36
-
27
-
-
-
5
5
-
-
-
-
-
3+1
-
-
-
-
2+7
-
2+7
7
I
S
E
E
Y
O
U
-
-
4
-
-
7
-
9
-
9
-
9
1
5
5
7
6
3
-
-
-
-
-
-
-
-
-
-
7
I
S
E
E
Y
O
U
-
-
4
-
-
7
-
9
-
9

 

 

-
-
-
-
-
EYWA
-
-
-
-
-
-
-
1
E
5
5
5
-
-
-
-
1
Y
25
7
7
-
-
-
-
1
W
23
5
5
-
-
-
-
1
A
1
1
1
E
=
5
-
4
EYWA
54
18
38
-
-
-
-
-
-
5+4
1+8
3+8
-
-
5
-
4
EYWA
9
9
9

 

 

-
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
-
5
7
5
1
+
=
18
1+8
=
9
=
9
=
9
-
-
5
25
23
1
+
=
54
5+4
=
9
=
9
=
9
-
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
-
5
7
5
1
+
=
18
1+8
=
9
=
9
=
9
-
-
5
25
23
1
+
=
54
5+4
=
9
=
9
=
9
-
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
-
5
25
23
1
+
=
54
5+4
=
9
=
9
=
9
-
-
5
7
5
1
+
=
18
1+8
=
9
=
9
=
9
-
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
2
``-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
5
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
6
-
-
-
-
-
-
-
6
SIX
6
-
-
-
-
-
-
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
8
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
9
-
-
-
-
-
-
-
9
NINE
9
-
-
-
-
-
32
4
E
Y
W
A
-
-
13
-
-
4
-
36
-
27
3+2
-
5
-
5
-
-
-
1+3
-
-
-
-
2+7
-
2+7
5
4
E
Y
W
A
-
-
4
-
-
4
-
9
-
9
-
-
5
7
5
1
-
-
-
-
-
-
-
-
-
-
5
4
E
Y
W
A
-
-
4
-
-
4
-
9
-
9

 

 

4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
5
7
5
1
+
=
18
1+8
=
9
=
9
=
9
-
5
25
23
1
+
=
54
5+4
=
9
=
9
=
9
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
5
7
5
1
+
=
18
1+8
=
9
=
9
=
9
-
5
25
23
1
+
=
54
5+4
=
9
=
9
=
9
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
5
25
23
1
+
=
54
5+4
=
9
=
9
=
9
-
5
7
5
1
+
=
18
1+8
=
9
=
9
=
9
4
E
Y
W
A
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
1
occurs
x
1
=
1
=
1
-
5
-
5
-
-
-
5
occurs
x
2
=
10
1+0
1
-
-
7
-
-
-
-
7
occurs
x
1
=
7
=
7
4
E
Y
W
A
-
-
13
-
-
4
-
36
-
27
-
5
-
5
-
-
-
1+3
-
-
-
-
2+7
-
2+7
4
E
Y
W
A
-
-
4
-
-
4
-
9
-
9
-
5
7
5
1
-
-
-
-
-
-
-
-
-
-
4
E
Y
W
A
-
-
4
-
-
4
-
9
-
9

 

WAY E WAY

 

 

5
DYING
59
32
5
6
RISING
76
40
4
11
-
135
72
9
1+1
-
1+3+5
7+2
-
2
TO
9
9
9

 

 

6
KARMAS
63
18
9
6
DIVINE
63
36
9
3
LAW
36
9
9
15
-
162
63
27
1+5
-
1+6+2
6+3
2+7
6
TO
9
9
9

 

 

3
THE
33
15
6
9
UNIVERSAL
121
40
4
3
LAW
36
9
9
2
OF
21
12
3
14
CAUSE AND EFFECT
149
50
5
31
-
360
126
27
3+1
-
3+6+0
1+2+6
2+7
4
TO
9
9
9

 

 

3
GOD
26
17
8
7
GODDESS
73
28
1
10
-
99
45
9
8
CREATORS
99
36
9
7
CREATOR
80
35
8

 

 

FINGERPRINTS OF THE GODS

Graham Hancock

1995

 Page 411(number omitted)

GODS OF THE FIRST TIME

"According to Heliopolitan theology, the nine original gods who appeared in Egypt in the First Time were Ra, Shu, Tefnut, Geb, Nut, Osiris, Isis, Nepthys and Set. The offspring of these deities included well-known figures such as Horus and Anubis. In addition, other companies of gods were recognized, notably at Memphis and Hermopolis, where there were important and very ancient cults dedicated to Ptah and to Thoth.1 These First Time deities were all in one sense or another gods of creation who had given shape to chaos through their divine will. Out of that chaos they formed and populated the sacred land of Egypt,2 wherein, for many thousands of years, they ruled among men as divine pharaohs.3

 

 

THE SIRIUS MYSTERY

Robert K.G.Temple 1976

Page 82

The Sacred Fifry

" We must return to the treatise 'The Virgin of the World'. This treatise is quite explicit in saying that Isis and Osiris were sent to help the Earth by giving pri­mitive mankind the arts of civilization:
And Horus thereon said:
'How was it, mother, then, that Earth received God's Efflux?' And Isis said:
'I may not tell the story of (this) birth; for it is not permitted to describe the origin of thy descent, O Horus (son) of mighty power, lest afterwards the way-of-birth of the immortal gods should be known unto men - except so far that God the Monarch, the universal Orderer and Architect, sent for a little while thy mighty sire Osiris, and the mightiest goddess Isis, that they might help the world, for all things needed them.
'Tis they who filled life full of life. 'Tis they who caused the savagery of mutual slaughtering of men to cease. 'Tis they who hallowed precincts to the Gods their ancestors and spots for holy rites. 'Tis they who gave to men laws, food and shelter.'

"Page 73

A Fairy Tale

'I INVOKE THEE, LADY ISIS, WITH WHOM THE GOOD DAIMON DOTH UNITE,

HE WHO IS LORD IN THE PERFECT BLACK.'

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
6
INVOKE
76
31
4
-
-
-
-
4
-
-
-
-
-
T
=
2
-
4
THEE
38
20
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
4
LADY
42
15
6
-
-
-
-
-
-
6
-
-
-
I
=
9
-
4
ISIS
56
20
2
-
-
2
-
-
-
-
-
-
-
W
=
5
-
4
WITH
60
24
6
-
-
-
-
-
-
6
-
-
-
W
=
5
-
4
WHOM
59
23
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
G
=
7
-
4
GOOD
41
23
5
-
-
-
-
-
5
-
-
-
-
D
=
4
-
6
DAIMON
56
29
2
-
-
2
-
-
-
-
-
-
-
D
=
4
-
4
DOTH
47
20
2
-
-
2
-
-
-
-
-
-
-
U
=
3
-
5
UNITE
69
24
6
-
-
-
-
-
-
6
-
-
-
-
-
62
-
49
Add
586
253
55
-
1
8
3
4
10
24
7
8
9
-
-
6+2
-
4+9
Reduce
5+8+6
2+5+3
5+5
-
-
-
-
-
1+0
2+4
-
-
-
-
-
8
4
13
Deduce
19
10
10
-
1
8
3
4
1
6
7
8
9
-
-
-
-
1+3
Produce
1+9
1+0
1+0
-
-
-
-
-
-
-
-
-
-
-
-
8
-
4
Reduce
10
1
1
-
1
8
3
4
1
6
7
8
9
-
-
-
-
-
Deduce
1+0
-
-
-
-
-
-
-
-
-
-
-
-
-
-
8
-
4
Essence
1
1
1
-
1
8
3
4
1
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
2
4
5
6
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
9
I
=
9
-
6
INVOKE
76
31
4
-
-
4
-
-
-
T
=
2
-
4
THEE
38
20
2
-
2
-
-
-
-
L
=
3
-
4
LADY
42
15
6
-
-
-
-
6
-
I
=
9
-
4
ISIS
56
20
2
-
2
-
-
-
-
W
=
5
-
4
WITH
60
24
6
-
-
-
-
6
-
W
=
5
-
4
WHOM
59
23
5
-
-
-
5
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
6
-
G
=
7
-
4
GOOD
41
23
5
-
-
-
5
-
-
D
=
4
-
6
DAIMON
56
29
2
-
2
-
-
-
-
D
=
4
-
4
DOTH
47
20
2
-
2
-
-
-
-
U
=
3
-
5
UNITE
69
24
6
-
-
-
-
6
-
-
-
62
-
49
Add
586
253
55
-
8
4
10
24
9
-
-
6+2
-
4+9
Reduce
5+8+6
2+5+3
5+5
-
-
-
1+0
2+4
-
-
-
8
4
13
Deduce
19
10
10
-
8
4
1
6
9
-
-
-
-
1+3
Produce
1+9
1+0
1+0
-
-
-
-
-
-
-
-
8
-
4
Reduce
10
1
1
-
8
4
1
6
9
-
-
-
-
-
Deduce
1+0
-
-
-
-
-
-
-
-
-
-
8
-
4
Essence
1
1
1
-
8
4
1
6
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
I
=
9
-
6
INVOKE
76
31
4
-
-
-
-
4
-
-
-
-
-
T
=
2
-
4
THEE
38
20
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
4
LADY
42
15
6
-
-
-
-
-
-
6
-
-
-
I
=
9
-
4
ISIS
56
20
2
-
-
2
-
-
-
-
-
-
-
W
=
5
-
4
WITH
60
24
6
-
-
-
-
-
-
6
-
-
-
W
=
5
-
4
WHOM
59
23
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
G
=
7
-
4
GOOD
41
23
5
-
-
-
-
-
5
-
-
-
-
D
=
4
-
6
DAIMON
56
29
2
-
-
2
-
-
-
-
-
-
-
D
=
4
-
4
DOTH
47
20
2
-
-
2
-
-
-
-
-
-
-
U
=
3
-
5
UNITE
69
24
6
-
-
-
-
-
-
6
-
-
-
H
=
8
-
2
HE
13
13
4
-
-
-
-
4
-
-
-
-
-
W
=
5
-
3
WHO
46
19
1
-
1
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
L
=
3
-
4
LORD
49
22
4
-
-
-
-
4
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
P
=
7
-
7
PERFECT
73
37
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
5
BLACK
29
11
2
-
-
2
-
-
-
-
-
-
-
-
-
108
-
77
Add
880
394
79
-
3
10
3
12
15
30
7
8
9
-
-
1+0+8
-
7+7
Reduce
8+8+0
3+9+4
7+9
-
-
1+0
-
1+2
1+5
3+0
-
-
-
-
-
9
4
14
Deduce
16
16
16
-
3
1
3
3
6
3
7
8
9
-
-
-
-
1+4
Produce
1+6
1+6
1+6
-
-
-
-
-
-
-
-
-
-
-
-
9
-
5
Essence
7
7
7
-
3
1
3
3
6
3
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
4
5
6
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
1
I
9
9
9
-
-
-
-
-
-
9
I
=
9
-
6
INVOKE
76
31
4
-
-
-
4
-
-
-
T
=
2
-
4
THEE
38
20
2
-
-
2
-
-
-
-
L
=
3
-
4
LADY
42
15
6
-
-
-
-
-
6
-
I
=
9
-
4
ISIS
56
20
2
-
-
2
-
-
-
-
W
=
5
-
4
WITH
60
24
6
-
-
-
-
-
6
-
W
=
5
-
4
WHOM
59
23
5
-
-
-
-
5
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
6
-
G
=
7
-
4
GOOD
41
23
5
-
-
-
-
5
-
-
D
=
4
-
6
DAIMON
56
29
2
-
-
2
-
-
-
-
D
=
4
-
4
DOTH
47
20
2
-
-
2
-
-
-
-
U
=
3
-
5
UNITE
69
24
6
-
-
-
-
-
6
-
H
=
8
-
2
HE
13
13
4
-
-
-
4
-
-
-
W
=
5
-
3
WHO
46
19
1
-
1
-
-
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
L
=
3
-
4
LORD
49
22
4
-
-
-
4
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
5
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
6
-
P
=
7
-
7
PERFECT
73
37
1
-
1
-
-
-
-
-
B
=
2
-
5
BLACK
29
11
2
-
-
2
-
-
-
-
-
-
108
-
77
Add
880
394
79
-
3
10
12
15
30
9
-
-
1+0+8
-
7+7
Reduce
8+8+0
3+9+4
7+9
-
-
1+0
1+2
1+5
3+0
-
-
-
9
4
14
Deduce
16
16
16
-
3
1
3
6
3
9
-
-
-
-
1+4
Produce
1+6
1+6
1+6
-
-
-
-
-
-
-
-
-
9
-
5
Essence
7
7
7
-
3
1
3
6
3
9

 

 

I
=
9
-
9
I
9
9
9
A
=
1
-
2
AM
14
5
5
W
=
5
-
4
WITH
60
24
6
Y
=
7
-
3
YOU
61
16
7
A
=
1
-
6
ALWAYS
81
18
9
-
-
23
4
16
Add to Reduce
225
72
36
-
-
2+3
-
1+6
Reduce to Deduce
2+2+5
7+2
3+6
-
-
5
-
7
Essence of Number
9
9
9

 

 

4
EVEN
46
19
1
4
UNTO
80
16
7
3
THE
33
15
6
3
END
23
14
5
14
First Total
172
64
19
1+4
Add to Reduce
1+7+2
6+4
1+9
5
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
5
Essence of Number
1
1
1

 

 

O
=
6
-
6
OSIRIS
89
35
8
H
=
8
-
5
HORUS
81
27
9
I
=
9
-
4
ISIS
56
20
2
-
-
23
-
15
First Total
226
82
19
-
-
2+3
-
1+5
Add to Reduce
2+2+6
8+2
1+9
Q
-
5
-
6
Second Total
10
10
10
-
-
-
-
-
Reduce to Deduce
1+0
1+0
1+0
-
-
5
5
6
Essence of Number
1
1
1

 

 

J
=
1
-
6
JOSEPH
73
28
1
J
=
1
-
5
JESUS
74
11
2
M
=
4
-
4
MARY
57
21
3
-
-
6
4
15
Add to Reduce
204
60
6
-
-
-
-
1+5
Reduce to Deduce
2+0+4
6+0
-
-
-
6
-
6
Essence of Number
6
6
6

 

 

W
=
5
-
8
WEPWAWET
116
35
8
O
=
6
-
6
OPENER
73
37
1
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
D
=
5
-
4
WAYS
68
14
5
-
-
24
4
23
Add to Reduce
311
113
23
-
-
2+4
-
2+3
Reduce to Deduce
3+1+1
1+1+3
2+3
-
-
6
-
5
Essence of Number
5
5
5

 

 

-
ORION
-
-
-
1
O
15
6
6
1
R
18
9
9
1
I
9
9
9
1
O
15
6
6
1
N
14
5
5
5
ORION
71
35
35
-
-
7+1
3+5
3+5
5
ORION
8
8
8

 

 

-
5
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
6
5
+
=
26
2+6
=
8
=
8
=
8
-
`-
15
-
9
15
14
+
=
53
5+3
=
8
=
8
=
8
-
5
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
`-
-
18
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
5
O
R
I
O
N
T
-
-
-
-
-
-
-
-
-
-
`-
15
18
9
15
14
+
=
71
7+1
=
8
=
8
=
8
-
-
6
9
9
6
5
+
=
35
3+5
=
8
=
8
=
8
-
5
O
R
I
O
N
T
-
-
-
-
-
-
-
-
-
1
-
-
3
-
-
-
-
-
1
ONE
1
-
-
-
-
-
2
-
-
3
-
-
-
-
-
2
TWO
2
-
-
-
-
-
3
-
-
3
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
6
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
7
-
7
-
-
7
-
-
-
7
SEVEN
7
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
EIGHT
8
-
-
-
-
-
-
-
-
9
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
25
5
O
R
I
O
N
-
-
20
-
-
5
-
35
-
17
2+5
-
-
9
9
-
-
-
-
2+0
-
-
-
-
3+5
-
1+7
7
5
O
R
I
O
N
-
-
2
-
-
5
-
8
-
8
-
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
7
5
O
R
I
O
N
-
-
2
-
-
5
-
8
-
8

 

 

-
5
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
6
5
+
=
26
2+6
=
8
=
8
=
8
-
`-
15
-
9
15
14
+
=
53
5+3
=
8
=
8
=
8
-
5
O
R
I
O
N
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
+
=
9
-
=
9
=
9
=
9
-
`-
-
18
-
-
-
+
=
18
1+8
=
9
=
9
=
9
-
5
O
R
I
O
N
T
-
-
-
-
-
-
-
-
-
-
`-
15
18
9
15
14
+
=
71
7+1
=
8
=
8
=
8
-
-
6
9
9
6
5
+
=
35
3+5
=
8
=
8
=
8
-
5
O
R
I
O
N
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
-
5
occurs
x
1
=
5
=
5
-
-
6
-
-
6
-
-
-
6
occurs
x
2
=
12
1+2
3
-
-
-
9
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
25
5
O
R
I
O
N
-
-
20
-
-
5
-
35
-
17
2+5
-
-
9
9
-
-
-
-
2+0
-
-
-
-
3+5
-
1+7
7
5
O
R
I
O
N
-
-
2
-
-
5
-
8
-
8
-
-
6
9
9
6
5
-
-
-
-
-
-
-
-
-
-
7
5
O
R
I
O
N
-
-
2
-
-
5
-
8
-
8

 

IS ORION ORION IS

 

 

B
=
2
-
3
BUT
43
7
7
T
=
2
-
4
THAT
49
13
4
W
=
5
-
3
WAS
43
7
7
T
=
2
-
3
THE
33
15
6
R
=
9
-
5
RIVER
72
36
9
-
-
20
4
18
First Total
240
78
33
-
-
2+0
-
1+8
Add to Reduce
2+4+0
7+8
3+3
S
-
2
4
9
Second Total
6
15
6
-
-
-
-
-
Reduce to Deduce
-
1+5
-
-
-
2
-
9
Essence of Number
6
6
6

 

 

N
=
5
-
3
NOW
52
16
7
T
=
2
-
4
THIS
56
20
2
I
=
9
-
2
IS
28
10
1
T
=
2
-
3
THE
33
15
6
S
=
1
-
3
SEA
25
7
7
S
-
19
4
15
First Total
194
68
23
-
-
1+9
-
1+5
Add to Reduce
1+9+4
6+8
2+3
S
-
10
4
6
Second Total
14
14
5
-
-
1+0
-
-
Reduce to Deduce
1+4
1+4
-
-
-
1
-
6
Essence of Number
5
5
5

 

 

-
BLACK RITE
-
-
-
5
BLACK
29
11
2
4
RITE
52
25
7
9
BLACK RITE
81
36
9
-
-
8+1
3+6
-
9
BLACK RITE
9
9
9

 

 

FINGERPRINTS OF THE GODS

A QUEST FOR THE BEGINNING AND THE END

Graham Hancock 1995

Chapter 32

Speaking to the Unborn

Page 285

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

A message in the bottle of time"

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

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

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

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

 

"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"

 

 

 

 

5
FIRST
72
36
9
7
CONTACT
76
22
4
12
-
148
58
13
1+2
-
1+4+8
5+8
1+3
3
TO
13
13
4
-
-
-
-
-
8
THIRTEEN
99
45
9

 

 

 

FIRST CONTACT 1980

 

18
-
8
EIGHTEEN
73
46
1
36
-
9
THIRTY SIX
152
62
8
54
-
17
Add to Reduce
225
108
9
5+4
1+7
Reduce to Deduce
2+2+5
1+0+8
-
9
-
8
Essence of Number
9
9
9

 

PEACE AND LOVE UNTO ALL SENTIENT BEINGS

 


What does the number 5 symbolize?
The number 5 is commonly referred to as the number of humanity. Human beings have five fingers, five toes, five appendages (if the head is included), five senses, and five major systems of the body. She is noted for independence, versatility, rebellion, and a daring nature.15 May 2018

https://en.wikipedia.org/en.wikipedia.org › wiki › 5
5 - Wikipedia
ht
5 (five) is a number, numeral, and glyph. It is the natural number following 4 and preceding 6, and is a prime number.

Greek numeral?: ??´
Numeral system?: ?quinary
Roman numeral (unicode)
Chinese numeral

•The pattern of five dots on a die is called a quincunx. ...
•There are five rings in the Olympic symbol (stay tuned for PyeongChang 2018).
•Five is a prime number.
•It's also a Fibonacci number.
•You have 5 senses (so do I).

 

5 is a primenumber.
1, 1, 2, 3, 5, 8, 13...
A Fibonacci number.
We have five digits on eachhand and foot. V, the Roman symbol for five, may originate from the imageof a hand with the fingers spread.

Penta- means five.A pentathlon is an athletics contest with five events and a pentagon isa figure with five sides and five angles. A pentasyllabic word has fivesyllables, like the word pentasyllabic itself.
Pentagram, pentangle and pentacle are all names for a five-pointed star. This mysticalsymbol was supposed to keep away devils and witches. A pentacle he
sfolded from fine linen was sometimes worn as a defence against demons.

A devout follower of Islam worships five times a day facing the holy city of Mecca. The Islamic creed is the 'Five Pillars of the Faith'.

The Five Ks are traditionallyworn by The Singhs, who are a brotherhood within the Sikh religion. Theseare kes, long hair; kangha, a comb; kirpan, a sword; kachh, short trousers; and kara, a steel bracelet.

Pentominoes areshapes made from five squares. How many of these are possible? Only countshapes which cannot be made from each other by flipping them over or rotatingthem.

Punch is a drink that traditionallyhas five ingredients - spirits, water, sugar, lemon juice and spice. Thename punch comes from the Hindi word for five.

The Five Platonic Solids are the only five convex regular solids it is possible to construct. Theyare the tetrahedron (four sides), the cube (six sides), the octahedron(eight sides), the dodecahedron (12 sides) and the icosahedron (20 sides).

www.astrovera.com/bible-religion/172-bible-number-5.html

The number 5 in the Bible is significant because his creation, the ‘man’ has five fingers, five senses and five toes. Thus it is the number of God’s grace. There are five great mysteries: Father, Son, Spirit, Creation and Redemption. After the fall of man creation was cursed and it became subject to vanity. So man and creation needed to be redeemed therefore number 5 is the number of God’s grace. The number five may also speak of the inability of man and his weakness as only when ‘man’ is weak does he needs God’s Grace. As only if a man is incapable, he would require God’s Grace.

Number 4 signifies man’s weakness and helplessness and number 5 i.e. 4+1 shows divine strength added to man’s weakness and vanity which of course, means God’s grace. Gematria is the name given to the process of assigning numbers to different words. The gematria of the word Earth would be 296 which, in fact, is a multiple of 4 and the gematria of the word Heaven is 395, which is a multiple of 5. Therefore, Earth, which is the land of the man, is synonymous to his weakness and vanity and Heaven is synonymous of God’s grace. But what do you mean by grace? Grace means favor, an act of kindness and support and favor can be of many types. Favor that is done for the unworthy, favor that is done for someone who doesn’t deserve it, that favor is called grace. God called upon Abram and promised to make his name great. Was there any reason behind it? Did God do that for any purpose? No. He did it without any cause, without any particular reason. This was an instance of God’s grace towards his creation.

God changed Abram’s name to Abraham. This is very significant. Not because God chose Abram or because God endowed upon him his grace, but, the change was made by inserting in between his name the fifth letter of the alphabet h (Hey). Another instance of God’s grace can be seen when David went to fight with the enemy of Israel who was a giant named Goliath. David chose five smooth stones. These five stones were significant of David’s weakness supplemented by a divine power (the number of stones being 4+1). David used only one stone (one with divine power) and not the other four stones to defeat and conquer the mighty enemy.

But God’s Grace should not be confused with merit or warrant. The scriptures tell us again and again through various examples that the grace and merit cannot exist together. However one can’t attain salvation from merit. This is because if the salvation could be achieved through merit then, the there would not be any requirement for God’s Grace. The fifth book of Psalms exemplifies the same great fact. The first Psalm (Psalm 107) magnifies this, and explains to us, how "He sent His word and healed them" (verse 20), and again and again delivered his men out of all their trouble. The importance of number 5 is further exemplified by the Fifth Psalm of the First Book. It has a special reference to the God’ Grace and tells us that God encompasses us all in his grace. The Fifth Book of the Bible (Deuteronomy) magnifies the grace of God, and in it special pains, so to speak, are taken to emphasis the great fact that not for the sake of the people, but for God's own Name's sake had He called, and chosen, and blessed them. In the Bible, there is also a reference to The Stone Kingdom. This kingdom would be the FIFTH kingdom after the world powers when all of the earth’s dominions would be combined to one single kingdom and then the almighty would take over them to rule over the along with his appointed one with glory and with grace. There are also certain phrases which repeat five times in the bible and they speak of God’s Grace "Bless the Lord, O my soul." - All in Psalms 103 and 104, viz., 103:1, 2, 23 and 104:1, 35. The Talmud calls attention to this and says, "As God fills the earth and nourishes it, so He nourishes and blesses the soul."

The various examples stated above tell us a great deal about the significance of the number five in the biblical literature. It tells us through the Gematria that the importance of this number is huge as it signifies the grace of God. Also through the various examples of David, The Fifth Book of Psalms, The fifth kingdom etc that how again and again God has showed Grace to his creation. The number five is the symbol of God’s grace. Grace should never be confused with merit, because merit is only for the worthy. But unlike merit, grace is for everyone without any prejudice and preconception.

Religion and culture · ?Art, entertainment, and ...

https://www.splashlearn.com/www.splashlearn.com › Math Vocabulary › Number Sense

What is Five? - Definition, Facts & Example - Splash Math

Fun Facts. 5 is a natural number. 5 is a odd number. 5 is the only prime number that is the sum of two consecutive prime numbers, namely 2 and 3. 5 is also the only prime number to end with 5 in ones place.


1.There are 5 days in the week (not counting the weekend).
2.We need 5 fingers to play the piano and the Creator gave us just the right number and on both hands!
3.The creator gave us symmetry by giving 5 toes as well.
4.Jesus asked for 5 loaves to feed 5 (thousand) people
5.The Torah has 5 books
6.Christ had 5 wounds
7.Muslims pray 5 times a day
8.A starfish has 5 legs
9.A star has 5 points
10.The 5 Alive drink has 5 ingredients!

https://www.researchgate.net/www.researchgate.net › publication › 259604698_Five_petals_The_...

Five petals: The mysterious number "5" hidden in nature
https://www.researchgate.net/
9 Jan 2014 - The conclusions drawn are that flowers are most likely to be five-petaled, followed by six-petaled flowers, and that four petals are unstable and almost no flower can be seven-petaled. ... Echinodemata such as sea urchins, starfish, and sea cucumbers are five-actinomorphic with a bony ...

Five petals: The mysterious number "5" hidden in nature

Yutaka Nishiyama at Osaka University of Economics
Yutaka Nishiyama
8.58
· Osaka University of Economics

This article examines why many flowers are five-petaled through the use of a five-petal model that draws insight from the location of cell clusters at a shoot apex, rather than from concepts such as the Fibonacci sequence or the Golden ratio which have been referred to in the past. The conclusions drawn are that flowers are most likely to be five-petaled, followed by six-petaled flowers, and that four petals are unstable and almost no flower can be seven-petaled. I am deeply interested in pentagonal forms in the natural world. A hexagon, as seen in bee's nests or snow crystals, is mathematically explained, but no clear explanation is made about a pentagon. Echinodemata such as sea urchins, starfish, and sea cucumbers are five-actinomorphic with a bony plate on the skin and a unique water-vascular sys-tem. In other words, they are pentagonal and rotationally symmetrical. The arm of a starfish has strong regeneration power as indicated by the fact that one of its five arms can regenerate immediately. Even more surprising is the fact that one arm can regenerate the remaining four arms (Ichikawa, 1982, [4]).

International Journal of Pure and Applied Mathematics
Volume 78 No. 3 2012, 349-362
ISSN: 1311-8080 (printed version)
url: http://www.ijpam.eu

FIVE PETALS: THE MYSTERIOUS NUMBER
“5” HIDDEN IN NATURE
Yutaka Nishiyama
Department of Business Information
Faculty of Information Management
Osaka University of Economics
2, Osumi Higashiyodogawa Osaka, 533-8533, JAPAN
Abstract: This article examines why many flowers are five-petaled through
the use of a five-petal model that draws insight from the location of cell clusters
at a shoot apex, rather than from concepts such as the Fibonacci sequence or the
Golden ratio which have been referred to in the past. The conclusions drawn are
that ?owers are most likely to be fve-petaled, followed by six-petaled flowers,
and that four petals are unstable and almost no ?ower can be seven-petaled.
AMS Subject Classi?cation: 00A71, 46N60, 92B05
Key Words: flower, cell, petal, pentagon, fullerene
1. Many Five-Petaled Flowers
I am deeply interested in pentagonal forms in the natural world. A hexagon, as
seen in bee’s nests or snow crystals, is mathematically explained, but no clear
explanation is made about a pentagon.
Echinodemata such as sea urchins, starfsh, and sea cucumbers are five-
actinomorphic with a bony plate on the skin and a unique water-vascular sys-
tem. In other words, they are pentagonal and rotationally symmetrical. The
arm of a star?sh has strong regeneration power as indicated by the fact that
one of its ?ve arms can regenerate immediately. Even more surprising is the
fact that one arm can regenerate the remaining four arms (Ichikawa, 1982, [4]).
Received: December 14, 2011 c
?2012 Academic Publications, Ltd.
url: www.acadpubl.eu

350 Y. Nishiyama
Is something that determines five arms strongly coded for in DNA?
Using a compass or ruler, a regular pentagon can not be drawn as easily
as a regular triangle, tetragon or hexagon. Although we can draw a regular
pentagon with a protractor, by way of a 360?central angle which is divided into
?ve, star?sh do not use a compass or ruler, nor have mathematical knowledge.
How can such a primitive aquatic creature draw a regular pentagon so easily?
“Five,” as seen in sea urchins and star?sh is also observed in plants. Flicking
through the “Illustrated Guide to Plants (Shokubutu no Zukan)” (Shogakukan),
many ?ve-petaled flowers are found: spring ?owers such as cyclamen, pansy,
gypsophila, ume (Japanese apricot), cherry, azalea, and peach; summer flowers
such as morning glory, bell bind, and oleander; as well as autumn flowers such as
cotton rose, balloon flower, gilly?ower, and gentian produce five-petal ?owers.
Farm products such as watermelon, melon, pear, and apple also have five petals.
Having said that, there are also exceptions ? a calla with one petal; an iris
with three petals; daphne, dogwood, and fragrant olive with four petals; and
lily, narcissus, and orchid with six petals.
As for the one-petaled and four-petaled flowers among these exceptions,
some theories say that what looks like a petal is actually a sepal. Firstly, a
calla belongs to the arum family, and what appears to be a white petals is a
bract with small flowers on a thick axis inside. Calla’s bract is sometimes called
a spathe, as it looks like the halo or ?ames often seen in the Buddha statues.
Secondly, with respect to four-petaled ?owers, a daphne, spring flower, has four
sepals, not petals. The same thing applies to the autumn ?ower of fragrant
olive with yellow blossoms.
2. Trimerous, Tetramerous, and Pentamerous Flowers
Makino(1989, [6]) neatly classifies all plants according to kingdom, division,
class, order, family, genus, and species. The book specifes the number of sepals,
petals, stamens, and pistils of all the families. A flower diagram shows the
pattern of locations and distributions of these to aid people easily understand
the structure of a flower.
The classi?cation of trimerous, tetramerous, and pentamerous ?owers is
based on a ?ower’s components. If flowers have three ( or a multiple of that
number) sepals, petals, stamens, and pistils, they are called trimerous ?owers.
Many monocotyledons such as lily, iris, and spiderwort belong to this category.
Similarly, ?owers with four ( or a multiple of that number) components, such as
Japanese laurel and evening primrose, are tetramerous, and those with five ( or

FIVE PETALS: THE MYSTERIOUS NUMBER... 351
a multiple of that number), such as azalea and morning glory, are pentamerous.
Flowers that belong to the same family have the same number of petals. All
you have to do in order to know the number of petals of plants is research at a
family level. The result of such research is described below. The spermatophyte
division, subject of the research, has 219 families. The division is divided into
the gymnosperm subdivision (13 families) and the angiosperm subdivision (206
families). The gymnosperm subdivision has no sepal or petal, and is classi?ed
as zero-petaled. The angiosperm subdivision branches o? the monocotyledon
class (35 families) and the dicotyledon class (171 families). The monocotyle-
don class includes the iris family and the lily family, and many families in the
class are three-petaled and six-petaled (trimerous). They have no sepal, and
are counted by tepals. The dicotyledon class is split into the choripetalae sub-
class(125 families) and the gamopetalae subclass(46 families). Many families
in the choripetalae subclass are five-petaled (pentamerous) like the rose family,
mallow family, and violet family, or four-petaled (tetramerous) like the mustard
family and dogwood family. The gamopetalae subclass that includes the heath
family and morning-glory family has many five-petaled (pentamerous) families.
Table 1 categorized the 219 families in the spermatophyte division according
to the number of petals.

 

 

LIFE IS GOD IS LIFE

LIFE IS QUALITIVELY THE SAME CREATIVE INTELLIGENCE IN EACH EVOCATION REGARDLESS OF FORM

ALL IS ONE UNIVERSAL CREATOR MIND ALL AND EVERYTHING

ONE UNIVERSAL PATTERN OF LIFE

 

 

PLATO - NUMBERS ARE THE HIGHEST DEGREE OF KNOWLEDGE

IT IS KNOWLEDGE ITSELF

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
1
7
PLATO
64
19
1
-
1
-
-
-
5
-
7
-
9
-
-
7
-
-
64
19
1
1
-
-
-
-
-
-
-
-
-
N
=
5
2
7
NUMBERS
92
29
2
-
-
2
-
-
5
-
7
-
9
A
=
1
3
3
ARE
24
15
6
-
-
-
-
-
5
6
7
-
9
T
=
2
4
3
THE
33
15
6
-
-
-
-
-
5
6
7
-
9
H
=
8
5
7
HIGHEST
76
40
4
-
-
-
-
4
5
-
7
-
9
D
=
4
6
6
DEGREE
44
35
8
-
-
-
-
-
5
-
7
8
9
O
=
6
7
2
OF
21
12
3
-
-
-
3
-
5
-
7
-
9
K
=
2
8
9
KNOWLEDGE
96
42
6
-
-
-
-
-
5
6
7
-
9
-
-
28
-
-
386
188
35
8
-
-
-
-
-
-
-
-
-
-
-
35
-
42
Add to Reduce
450
207
36
-
1
2
3
8
5
18
7
8
9
-
-
3+5
-
4+2
Reduce to Deduce
4+5+0
2+0+7
3+6
-
-
-
-
-
-
1+8
-
-
-
-
-
8
-
6
Essence of Number
9
9
9
-
1
2
3
8
5
9
7
8
9

 

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
1
7
PLATO
64
19
1
-
1
-
-
-
5
-
7
-
9
N
=
5
2
7
NUMBERS
92
29
2
-
-
2
-
-
5
-
7
-
9
A
=
1
3
3
ARE
24
15
6
-
-
-
-
-
5
6
7
-
9
T
=
2
4
3
THE
33
15
6
-
-
-
-
-
5
6
7
-
9
H
=
8
5
7
HIGHEST
76
40
4
-
-
-
-
4
5
-
7
-
9
D
=
4
6
6
DEGREE
44
35
8
-
-
-
-
-
5
-
7
8
9
O
=
6
7
2
OF
21
12
3
-
-
-
3
-
5
-
7
-
9
K
=
2
8
9
KNOWLEDGE
96
42
6
-
-
-
-
-
5
6
7
-
9
-
-
35
-
42
Add to Reduce
450
207
36
-
1
2
3
8
5
18
7
8
9
-
-
3+5
-
4+2
Reduce to Deduce
4+5+0
2+0+7
3+6
-
-
-
-
-
-
1+8
-
-
-
-
-
8
-
6
Essence of Number
9
9
9
-
1
2
3
8
5
9
7
8
9

 

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
1
7
PLATO
64
19
1
-
1
-
-
-
5
-
7
-
9
N
=
5
2
7
NUMBERS
92
29
2
-
-
2
-
-
5
-
7
-
9
O
=
6
7
2
OF
21
12
3
-
-
-
3
-
5
-
7
-
9
H
=
8
5
7
HIGHEST
76
40
4
-
-
-
-
4
5
-
7
-
9
A
=
1
3
3
ARE
24
15
6
-
-
-
-
-
5
6
7
-
9
T
=
2
4
3
THE
33
15
6
-
-
-
-
-
5
6
7
-
9
K
=
2
8
9
KNOWLEDGE
96
42
6
-
-
-
-
-
5
6
7
-
9
D
=
4
6
6
DEGREE
44
35
8
-
-
-
-
-
5
-
7
8
9
-
-
35
-
42
Add to Reduce
450
207
36
-
1
2
3
8
5
18
7
8
9
-
-
3+5
-
4+2
Reduce to Deduce
4+5+0
2+0+7
3+6
-
-
-
-
-
-
1+8
-
-
-
-
-
8
-
6
Essence of Number
9
9
9
-
1
2
3
8
5
9
7
8
9

 

RE 95 RE

REARRANGED NUMERICALLY REARRANGED

RE 95 RE

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
2
IT
29
11
2
-
-
2
3
4
5
-
7
-
9
I
=
9
-
2
IS
28
10
1
-
1
-
3
4
5
-
7
-
9
K
=
2
-
9
KNOWLEDGE
96
42
6
-
-
-
3
4
5
6
7
-
9
I
=
9
-
6
ITSELF
71
26
8
-
-
-
3
4
5
-
7
8
9
-
-
29
-
19
Add to Reduce
224
98
17
-
1
2
3
4
5
6
7
8
9
-
-
2+9
-
1+9
Reduce to Deduce
2+2+4
9+8
1+7
-
-
-
-
-
-
-
-
-
-
-
-
11
-
10
Essence of Number
8
17
8
-
1
2
3
4
5
6
7
8
9
-
-
1+1
-
1+0
Reduce to Deduce
-
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
1
Essence of Number
8
8
8
-
1
2
3
4
5
6
7
8
9

 

IT IS KNOWLEDGE ITSELF

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
2
IT
29
11
2
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
-
-
K
=
2
-
9
KNOWLEDGE
96
42
6
-
-
-
-
-
-
-
-
-
-
I
=
9
-
6
ITSELF
71
26
8
-
-
-
-
-
-
-
-
-
-
-
-
29
-
19
Add to Reduce
224
98
17
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
1
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
T
=
2
2
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
11
-
-
29
11
11
2
-
-
-
-
-
-
-
-
-
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
10
-
-
28
19
10
1
-
-
-
-
-
-
-
-
-
K
=
2
5
1
K
11
2
2
-
-
2
-
-
-
-
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
W
=
5
8
1
W
23
5
5
-
-
-
-
-
5
-
-
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
D
=
4
11
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
G
=
7
12
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
42
-
-
96
42
42
6
-
-
-
-
-
-
-
-
-
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
T
=
2
15
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
L
=
3
18
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
F
=
6
19
1
F
6
6
6
-
-
-
-
-
-
6
-
8
-
27
-
-
71
35
26
8
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IT
29
11
2
-
2
6
6
4
25
12
7
8
27
I
=
9
-
2
IS
28
10
1
-
-
-
-
-
2+5
1+2
-
-
2+7
K
=
2
-
9
KNOWLEDGE
96
42
6
-
2
6
6
4
7
3
7
8
9
I
=
9
-
6
ITSELF
71
26
8
-
-
-
-
-
-
-
-
-
-
-
-
29
-
19
First Total
224
98
17
-
2
6
6
4
7
3
7
8
9
-
-
2+9
-
1+9
Add to Reduce
2+2+4
9+8
1+7
-
-
-
-
-
-
-
-
-
-
-
-
11
-
10
Second Total
8
17
8
-
2
6
6
4
7
3
7
8
9
-
-
1+1
-
1+0
Reduce to Deduce
-
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
1
Essence of Number
8
8
8
-
2
6
6
4
7
3
7
8
9

 

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
2
IT
29
11
2
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
-
-
K
=
2
-
9
KNOWLEDGE
96
42
6
-
-
-
-
-
-
-
-
-
-
I
=
9
-
6
ITSELF
71
26
8
-
-
-
-
-
-
-
-
-
-
-
-
29
-
19
Add to Reduce
224
98
17
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
1
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
T
=
2
2
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
K
=
2
5
1
K
11
2
2
-
-
2
-
-
-
-
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
W
=
5
8
1
W
23
5
5
-
-
-
-
-
5
-
-
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
D
=
4
11
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
G
=
7
12
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
T
=
2
15
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
L
=
3
18
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
F
=
6
19
1
F
6
6
6
-
-
-
-
-
-
6
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IT
29
11
2
-
2
6
6
4
25
12
7
8
27
I
=
9
-
2
IS
28
10
1
-
-
-
-
-
2+5
1+2
-
-
2+7
K
=
2
-
9
KNOWLEDGE
96
42
6
-
2
6
6
4
7
3
7
8
9
I
=
9
-
6
ITSELF
71
26
8
-
-
-
-
-
-
-
-
-
-
-
-
29
-
19
First Total
224
98
17
-
2
6
6
4
7
3
7
8
9
-
-
2+9
-
1+9
Add to Reduce
2+2+4
9+8
1+7
-
-
-
-
-
-
-
-
-
-
-
-
11
-
10
Second Total
8
17
8
-
2
6
6
4
7
3
7
8
9
-
-
1+1
-
1+0
Reduce to Deduce
-
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
1
Essence of Number
8
8
8
-
2
6
6
4
7
3
7
8
9

 

RE 95 RE

REARRANGED NUMERICALLY REARRANGED

RE 95 RE

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
2
IT
29
11
2
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
19
1
-
-
-
-
-
-
-
-
-
-
K
=
2
-
9
KNOWLEDGE
96
42
6
-
-
-
-
-
-
-
-
-
-
I
=
9
-
6
ITSELF
71
26
8
-
-
-
-
-
-
-
-
-
-
-
-
29
-
19
Add to Reduce
224
98
17
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
T
=
2
2
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
K
=
2
5
1
K
11
2
2
-
-
2
-
-
-
-
-
8
-
T
=
2
15
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
L
=
3
9
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
18
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
D
=
4
11
1
D
4
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
6
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
W
=
5
8
1
W
23
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
10
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
13
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
E
=
5
17
1
E
5
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
F
=
6
19
1
F
6
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
12
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
1
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
I
=
9
14
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
I
=
9
3
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
I
=
9
-
2
IT
29
11
2
-
2
6
6
4
25
12
7
8
27
I
=
9
-
2
IS
28
10
1
-
-
-
-
-
2+5
1+2
-
-
2+7
K
=
2
-
9
KNOWLEDGE
96
42
6
-
2
6
6
4
7
3
7
8
9
I
=
9
-
6
ITSELF
71
26
8
-
-
-
-
-
-
-
-
-
-
-
-
29
-
19
First Total
224
98
17
-
2
6
6
4
7
3
7
8
9
-
-
2+9
-
1+9
Add to Reduce
2+2+4
9+8
1+7
-
-
-
-
-
-
-
-
-
-
-
-
11
-
10
Second Total
8
17
8
-
2
6
6
4
7
3
7
8
9
-
-
1+1
-
1+0
Reduce to Deduce
-
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
1
Essence of Number
8
8
8
-
2
6
6
4
7
3
7
8
9

 

RE 95 RE

REARRANGED NUMERICALLY REARRANGED

RE 95 RE

 

KNOWLEDGE 96 KNOWLEDGE

 
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
IT
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
IS
-
-
-
-
-
-
-
-
-
-
-
-
-
K
=
2
-
9
KNOWLEDGE
96
42
6
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
ITSELF
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
K
=
2
1
1
K
11
2
2
-
-
2
-
-
-
-
-
8
9
L
=
3
5
1
L
12
3
3
-
-
-
3
-
-
-
-
8
9
D
=
4
7
1
D
4
4
4
-
-
-
-
4
-
-
-
8
9
N
=
5
2
1
N
14
5
5
-
-
-
-
-
5
-
-
8
9
W
=
5
4
1
W
23
5
5
-
-
-
-
-
5
-
-
8
9
E
=
5
6
1
E
5
5
5
-
-
-
-
-
5
-
-
8
9
E
=
5
9
1
E
5
5
5
-
-
-
-
-
5
-
-
8
9
O
=
6
3
1
O
15
6
6
-
-
-
-
-
-
6
-
8
9
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
8
9
-
-
42
-
9
KNOWLEDGE
96
42
42
-
1
2
3
4
20
6
7
8
9
-
-
4+2
-
-
-
9+6
4+2
4+2
-
-
-
-
-
2+0
-
-
-
-
-
-
6
-
9
KNOWLEDGE
15
6
6
-
1
2
3
4
2
6
7
8
9
-
-
-
-
-
-
1+5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
KNOWLEDGE
5
6
8
-
1
2
3
4
2
6
7
8
9

 

RE 95 RE

REARRANGED NUMERICALLY REARRANGED

RE 95 RE

 

 

COVENANT

 

-
PLATO'S ACADEMY
-
-
-
2
P+L
28
10
1
3
A+T+O
36
9
9
1
S
19
10
1
4
A+C+A+D
9
9
9
2
EM
18
9
9
1
Y
25
7
7
13
PLATO'S ACADEMY
135
54
9
1+3
-
1+3+5
5+4
-
13
PLATO'S ACADEMY
9
9
9

 

 

-
PLATO'S ACADEMY
-
-
-
6
P+L+A+T+O+S
83
20
2
7
A+C+A+D+E+M+Y
52
25
7
13
PLATO'S ACADEMY
135
45
9
1+3
-
1+3+5
4+5
-
4
PLATO'S ACADEMY
9
9
9

 

 

-
-
-
-
-
PLATO'S ACADEMY
-
-
-
P
=
7
-
6
PLATO'S
83
29
2
A
=
1
-
7
ACADEMY
52
25
7
-
-
-
-
13
PLATO'S ACADEMY
135
54
9
-
=
-
-
1+3
-
1+3+5
5+4
-
-
4
8
-
4
PLATO'S ACADEMY
9
9
9

 

 

-
-
-
-
-
PLATO'S ACADEMY
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
-
6
PLATO'S
83
29
2
-
-
-
-
-
-
-
-
-
-
A
=
1
-
7
ACADEMY
52
25
7
-
1
2
3
4
5
6
7
8
9
-
-
-
-
13
PLATO'S ACADEMY
135
54
9
-
-
-
-
-
-
-
-
-
-
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
A
=
1
3
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
S
=
1
6
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
29
-
-
-
83
29
20
-
-
-
-
-
-
-
-
-
-
A
=
1
7
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
C
=
3
8
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
D
=
4
10
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
Y
=
7
13
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
-
-
37
-
-
-
83
29
20
-
4
2
6
8
5
6
14
8
9
-
-
-
-
-
PLATO'S ACADEMY
-
-
-
-
-
-
-
-
-
-
1+4
-
-
P
=
7
-
6
PLATO'S
83
29
2
-
4
2
6
8
5
6
5
8
9
A
=
1
-
7
ACADEMY
52
25
7
-
-
-
-
-
-
-
-
-
-
-
=
8
-
13
PLATO'S ACADEMY
135
54
9
-
4
2
6
8
5
6
5
8
8
-
=
-
-
1+3
-
1+3+5
5+4
-
-
-
-
-
-
-
-
-
-
-
-
4
8
-
4
PLATO'S ACADEMY
9
9
9
-
4
2
6
8
5
6
5
8
8

 

 

-
-
-
-
-
PLATO'S ACADEMY
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
-
6
PLATO'S
83
29
2
-
-
-
-
-
-
-
-
-
-
A
=
1
-
7
ACADEMY
52
25
7
-
1
2
3
4
5
6
7
8
9
-
-
-
-
13
PLATO'S ACADEMY
135
54
9
-
-
-
-
-
-
-
-
-
-
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
8
9
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
-
8
9
A
=
1
3
1
A
1
1
1
-
1
-
-
-
-
-
-
8
9
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
8
9
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
8
9
S
=
1
6
1
S
19
10
1
-
1
-
-
-
-
-
-
8
9
A
=
1
7
1
A
1
1
1
-
1
-
-
-
-
-
-
8
9
C
=
3
8
1
C
3
3
3
-
-
-
3
-
-
-
-
8
9
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
-
8
9
D
=
4
10
1
D
4
4
4
-
-
-
-
4
-
-
-
8
9
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
8
9
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
-
8
9
Y
=
7
13
1
Y
25
7
7
-
-
-
-
-
-
-
7
8
9
-
-
-
-
-
-
-
-
-
-
4
2
6
8
5
6
14
8
9
-
-
-
-
-
PLATO'S ACADEMY
-
-
-
-
-
-
-
-
-
-
1+4
-
-
P
=
7
-
6
PLATO'S
83
29
2
-
4
2
6
8
5
6
5
8
9
A
=
1
-
7
ACADEMY
52
25
7
-
-
-
-
-
-
-
-
-
-
-
=
8
-
13
PLATO'S ACADEMY
135
54
9
-
4
2
6
8
5
6
5
8
8
-
=
-
-
1+3
-
1+3+5
5+4
-
-
-
-
-
-
-
-
-
-
-
-
4
8
-
4
PLATO'S ACADEMY
9
9
9
-
4
2
6
8
5
6
5
8
8

 

 

-
-
-
-
-
PLATO'S ACADEMY
-
-
-
-
1
2
3
4
5
6
7
8
9
P
=
7
-
6
PLATO'S
83
29
2
-
-
-
-
-
-
-
-
-
-
A
=
1
-
7
ACADEMY
52
25
7
-
1
2
3
4
5
6
7
8
9
-
-
-
-
13
PLATO'S ACADEMY
135
54
9
-
-
-
-
-
-
-
-
-
-
A
=
1
3
1
A
1
1
1
-
1
-
-
-
-
-
-
8
9
S
=
1
6
1
S
19
10
1
-
1
-
-
-
-
-
-
8
9
A
=
1
7
1
A
1
1
1
-
1
-
-
-
-
-
-
8
9
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
-
8
9
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
8
9
L
=
3
2
1
L
12
3
3
-
-
-
3
-
-
-
-
8
9
C
=
3
8
1
C
3
3
3
-
-
-
3
-
-
-
-
8
9
D
=
4
10
1
D
4
4
4
-
-
-
-
4
-
-
-
8
9
M
=
4
12
1
M
13
4
4
-
-
-
-
4
-
-
-
8
9
E
=
5
11
1
E
5
5
5
-
-
-
-
-
5
-
-
8
9
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
8
9
P
=
7
1
1
P
16
7
7
-
-
-
-
-
-
-
7
8
9
Y
=
7
13
1
Y
25
7
7
-
-
-
-
-
-
-
7
8
9
-
-
-
-
-
-
-
-
-
-
4
2
6
8
5
6
14
8
9
-
-
-
-
-
PLATO'S ACADEMY
-
-
-
-
-
-
-
-
-
-
1+4
-
-
P
=
7
-
6
PLATO'S
83
29
2
-
4
2
6
8
5
6
5
8
9
A
=
1
-
7
ACADEMY
52
25
7
-
-
-
-
-
-
-
-
-
-
-
=
8
-
13
PLATO'S ACADEMY
135
54
9
-
4
2
6
8
5
6
5
8
8
-
=
-
-
1+3
-
1+3+5
5+4
-
-
-
-
-
-
-
-
-
-
-
-
4
8
-
4
PLATO'S ACADEMY
9
9
9
-
4
2
6
8
5
6
5
8
8

 

 

PLATO'S ACADEMY 135 ACADEMY PLATO'S

PLATO'S ACADEMY 54 ACADEMY PLATO'S

PLATO'S ACADEMY 9 ACADEMY PLATO'S

 
-
PLATO'S ACADEMY
-
-
-
P
=
7
6
PLATO'S
83
29
2
A
=
1
7
ACADEMY
52
25
7
=
8
13
PLATO'S ACADEMY
135
54
9
-
=
-
-
1+3
-
1+3+5
5+4
-
-
4
8
-
4
PLATO'S ACADEMY
9
9
9

 

PLATO'S ACADEMY 54 ACADEMY PLATO'S

ISLE OF ATLANTIS 54 ATLANTIS OF ISLE

 

4
ISLE
45
18
9
2
OF
21
12
3
8
ATLANTIS
96
24
6
14
-
162
54
18
1+4
-
1+6+2
5+4
1+8
5
1
9
9
9

 

 

8
ATLANTIS
-
-
-
-
A
1
1
1
1
T
20
2
2
-
L+A+N
27
9
9
-
T
20
2
2
-
I
9
9
9
1
S
19
10
1
8
ATLANTIS
96
33
24
-
-
9+6
3+3
2+4
8
ATLANTIS
15
6
6
-
-
1+5
-
-
8
ATLANTIS
6
6
6

 

 

THE ATLANTIS SECRET

A COMPLETE DECODING OF PLATOS LOST CONTINENT

Alan F Alford 2001

ATLANTIS DECODE

Chapter 19

"In Timaeus and Critias respectively, Plato emphasises the idea that the Isle of Atlantis was supernaturally large:"

 

-
-
-
-
-
ISLE OF ATLANTIS
-
-
-
I
=
7
4
ISLE
45
18
9
O
=
6
2
OF
21
12
3
A
=
1
-
8
ATLANTIS
96
24
6
-
-
13
-
14
ISLE OF ATLANTIS
162
54
18
-
-
1+3
-
1+4
-
1+6+2
5+4
1+8
-
-
4
-
5
ISLE OF ATLANTIS
9
9
9

 

 

A
=
1
-
-
ATLANTIS
-
-
-
-
-
-
-
1
A
1
1
1
-
-
-
-
1
T
20
2
2
-
-
-
-
1
L
12
3
3
-
-
-
-
1
A
1
1
1
Q
Q
-
-
1
N
14
5
5
-
-
-
-
1
T
20
2
2
-
-
-
-
1
I
9
9
9
-
-
-
-
1
S
19
10
1
A
=
1
-
8
ATLANTIS
96
33
24
-
-
-
-
-
-
9+6
3+3
2+4
A
=
1
-
8
ATLANTIS
15
6
6
-
-
-
-
-
-
1+5
-
-
A
=
1
-
8
ATLANTIS
6
6
6

 

 

A
=
1
-
-
ATLANTIC
-
-
-
-
-
-
-
1
A
1
1
1
-
-
-
-
1
T
20
2
2
-
-
-
-
1
L
12
3
3
-
-
-
-
1
A
1
1
1
Q
Q
-
-
1
N
14
5
5
-
-
-
-
1
T
20
2
2
-
-
-
-
1
I
9
9
9
-
-
-
-
1
C
3
3
3
A
=
1
-
8
ATLANTIC
80
26
26
-
-
-
-
-
-
8+0
2+6
2+6
A
=
1
-
8
ATLANTIC
8
8
8

 

 

A
=
1
-
8
ATLANTIC
80
26
8
A
=
1
-
8
ATLANTIS
96
33
6
-
-
2
-
16
First Total
176
59
14
-
-
-
-
1+6
Add to Reduce
1+7+6
5+9
1+4
-
-
2
-
7
Second Total
14
14
5
-
-
-
-
-
Reduce to Deduce
1+4
1+4
-
-
-
2
-
7
Essence of Number
5
5
5

 

 

11
TETRAHEDRON
128
56
2
10
OCTAHEDRON
103
49
4
11
ICOSAHEDRON
111
57
3
10
HEXAHEDRON
102
57
3
12
DODECAHEDRON
96
60
6
54
-
540
279
18

Page 78

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

 

11
TETRAHEDRON
128
56
2
10
OCTAHEDRON
103
49
4
11
ICOSAHEDRON
111
57
3
10
HEXAHEDRON
102
57
3
12
DODECAHEDRON
96
60
6
54
First Total
540
279
18
5+4
Add to Reduce
5+4+0
2+7+9
1+8
9
Second Total
9
18
9
-
Reduce to Deduce
-
1+8
-
9
Essence of Number
9
9
9

Page78

"As an example of these numbers, the study of which Plato recommends as the most sanctifying of all pursuits, he gives 5040."

 

9
FIFTY FOUR
126
54
9

 

 

11
TETRAHEDRON
128
56
2
10
OCTAHEDRON
103
49
4
11
ICOSAHEDRON
111
57
3
10
HEXAHEDRON
102
57
3
12
DODECAHEDRON
96
60
6
54
-
540
-
-

 

 

THE DIVINE PROPORTION

A STUDY IN MATHEMATICAL BEAUTY

H. E. Huntley 1970

Page 31

THE FIVE PLATONIC SOLIDS

 

3
THE
33
15
6
4
FIVE
42
24
6
8
PLATONIC
90
36
9
6
SOLIDS
78
24
6
21
First Total
243
99
27
2+1
Add to Reduce
2+4+3
9+9
2+7
3
Second Total
9
18
9
-
Reduce to Deduce
-
1+8
-
3
Essence of Number
9
9
9

 

The Greeks took a mystical view of the five regular solids. This is hardly surprising for the forms are beautiful in themselves. No mathematical sophistication is needed for the appreciation of the charm of their outward appearance: that is the given element of their beauty. By contrast, that which is acquired by training and education demands considerable mental effort.
The five regular solids were treated by Euclid in Book XIII of the Elements but are associated with the name of Plato because of his efforts to relate them to the important entities of which he supposed the world to be made. The aura of mysticism with which the Greek geometers surrounded them persisted until the dawn in the sixteenth century of the scientific era. But the aesthetic appeal of what are still known as the Platonic solids is undiminished. Next to the writer's chair, for some years past, there has stood a small dodecahedron of white china!
We are now confronted with our first example of beauty in mathematics. The facts have been common knowledge among mathematicians for 2000 years. Much evidence of their aesthetic appeal in the past is on record
The first point to note about the regular Platonic solids shown in figure 2.6 (Page 32 Figures omitted) is that they are precisely five in number. A little thought shows that, while an infinite number of polygons may be
drawn on a plane surface, it is not possible to construct more than five regular polyhedra in three-dimensional space. The surface of a regular polyhedron is bounded by congruent regular polygons. The simplest polygons. that can form the surface are the equilateral triangle, the square and the pentagon. It is clear from figure 2.6 ( Page 32 Figures omitted) that we cannot form the corner of a polyhedron with fewer than three faces and that a corner may be formed by joining three, four, or five equilateral triangles. With six such triangles, the corner flattens into a plane. The same will happen if four squares are united. Similarly, three regular pentagons at a corner is a maximum. But hexagons, and polygons with more than five sides are all ruled out. This argument for the limitation to five regular / Page 33 / solids is the source of Euler's formula V + F = E + 2, where the letters stand for the number of vertices, faces, and edges respectively.
The second point of interest is that two pairs of the Platonic solids are reciprocal and the fifth is self reciprocating in this sense: if the face centers of the cube are joined, an octahedron is formed, while the joins of the centroids of the octahedron surfaces form a cube. Similar relationship holds between the icosahedron and the dodecahedron., The join of the four centroids of the tetrahedron's faces makes another tetrahedron.
Fig. 2.7. Icosahedron (Figures omitted)
The third noteworthy feature is the relationship of the two pairs of reciprocal polyhedra to the golden rectangle (Figs. 2.7 and 2.8).(Figures omitted)
The Icosahedron. The twelve vertices of a regular icosahedron are divisible into three coplanar groups of four. These lie at the corners of three golden rectangles which are symmetrically situated with respect to each other, being mutually perpendicular, their one common point being the centroid of the icosahedron (Fig. 2.7).
The Octahedron. An icosahedron can be inscribed in an octahedron so that each vertex of the former divides an edge of the latter in the golden section.
The Dodecahedron. The centroids of the twelve pentagonal faces of a dodecahedron are divisible into three coplanar groups of / Page 34 / four. These quadrads lie at the corners of three mutually perpendicular, symmetrically placed golden rectangles, their one common point being the centroid of the dodecahedron (Fig. 2.8).
The aesthetic appeal of the topics of this chapter cannot be doubted. Whether we can explain it or not, the fact that they have been enjoyed by sixty generations of men is good evidence.

Fig. 2.8. Dodecahedron (Figures omitted)

It should be realized that we have only examined the surface of the subject. One of the ingredients of beauty in mathematics is its depth. Even in these familiar waters, "full many a gem of purest ray serene" awaits discovery by the explorer. There appears to be no limit, as Sir Edwin Arnold affirms in The Light of Asia:

Shall any gazer see with mortal eyes
Or any searcher know with mortal mind­
Veil after veil will lift-but there must be
Veil after veil behind.

Page 32 (Figures omitted)

 

 

Euclid's Elements - Wikipedia, the free encyclopedia

https://en.wikipedia.org/wiki/Euclid's_Elements

Euclid's Elements is a mathematical and geometric treatise consisting of 13 books written by the ancient Greek mathematician Euclid in Alexandria c. 300 BC.

Euclid's Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical and geometric treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates (axioms), propositions (theorems and constructions), and mathematical proofs of the propositions. The thirteen books cover Euclidean geometry and the ancient Greek version of elementary number theory. The work also includes an algebraic system that has become known as geometric algebra, which is powerful enough to solve many algebraic problems,[1] including the problem of finding the square root of a number.[2] The Elements is the second oldest extant Greek mathematical treatise after Autolycus' On the Moving Sphere,[3] and it is the oldest extant axiomatic deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science. According to Proclus the term "element" was used to describe a theorem that is all-pervading and helps furnishing proofs of many other theorems. The word 'element' is in the Greek language the same as 'letter'. This suggests that theorems in the Elements should be seen as standing in the same relation to geometry as letters to language. Later commentators give a slightly different meaning to the term 'element', emphasizing how the propositions have progressed in small steps, and continued to build on previous propositions in a well-defined order.[4]

Euclid's Elements has been referred to as the most successful[5][6] and influential[7] textbook ever written. Being first set in type in Venice in 1482, it is one of the very earliest mathematical works to be printed after the invention of the printing press and was estimated by Carl Benjamin Boyer to be second only to the Bible in the number of editions published,[7] with the number reaching well over one thousand.[8] For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read.[

Basis in earlier work
Scholars believe that the Elements is largely a collection of theorems proven by other mathematicians, supplemented by some original work.

Proclus (412 – 485 AD), a Greek mathematician who lived around seven centuries after Euclid, wrote in his commentary on the Elements: "Euclid, who put together the Elements, collecting many of Eudoxus' theorems, perfecting many of Theaetetus', and also bringing to irrefragable demonstration the things which were only somewhat loosely proved by his predecessors".

Pythagoras (c. 570 – c. 495 BCE) was probably the source for most of books I and II, Hippocrates of Chios (c. 470 – c. 410 BCE, not the better known Hippocrates of Kos) for book III, and Eudoxus of Cnidus (c. 408 – c. 355 BC) for book V, while books IV, VI, XI, and XII probably came from other Pythagorean or Athenian mathematicians.[11] The Elements may have been based on an earlier textbook by Hippocrates of Chios, who also may have originated the use of letters to refer to figures.[12]

 

 

-
-
-
-
-
EUCLID
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
E
5
5
5
-
E
-
-
5
-
E
5
E
-
-
-
-
-
U
21
3
3
-
U
3
-
-
-
U
3
U
-
-
-
-
-
C
3
3
3
-
C
3
-
-
-
C
3
C
-
-
-
-
-
L
12
3
3
-
L
3
-
-
-
L
3
L
-
-
-
-
-
I
9
9
9
-
I
-
-
-
9
I
9
I
-
-
-
-
-
D
4
4
4
-
D
-
4
-
-
D
4
D
E
=
5
-
6
EUCLID
54
27
27
-
-
9
4
5
9
-
27
-
-
-
-
-
-
-
5+4
2+7
2+7
-
-
-
-
-
-
-
2+7
-
-
-
5
-
6
EUCLID
9
9
9
-
-
9
4
5
9
-
9
-

 

 

E
=
5
6
EUCLID
54
27
9
T
=
2
3
THE
33
15
6
E
=
5
8
ELEMENTS
93
30
3
-
-
12
17
Add to Reduce
180
72
18
-
-
1+2
1+7
Add to Reduce
1+8+0
7+2
1+8
Q
-
3
8
Essence of Number
9
9
9

 

 

T
=
2
3
THE
33
15
6
E
=
5
8
ELEMENTS
93
30
3
-
-
7
11
Add to Reduce
126
45
9
-
-
-
1+1
Reduce to Deduce
1+2+6
4+5
-
Q
-
7
2
Essence of Number
9
9
9

 

 

E
=
5
7
EUCLID'S
73
28
1
T
=
2
3
THE
33
15
6
E
=
5
8
ELEMENTS
93
30
3
-
-
12
18
First Total
199
73
10
-
-
1+2
1+8
Add to Reduce
1+9+9
7+3
1+0
Q
-
3
9
Second Total
19
10
1
-
-
-
-
Reduce to Deduce
1+9
1+0
-
Q
-
3
9
Third Total
10
1
1
-
-
-
-
Add to Reduce
1+0
1+0
-
Q
-
3
9
Essence of Number
1
1
1

 

 

E
=
5
7
EUCLID'S
73
28
1
=
5
8
ELEMENTS
93
30
3
-
-
10
15
First Total
166
58
4
-
-
1+0
1+5
Add to Reduce
1+6+6
5+8
1+0
Q
-
1
6
Second Total
13
13
4
-
-
-
-
Reduce to Deduce
1+3
1+3
-
Q
-
1
6
Essence of Number
4
4
4

 

 

-
-
-
-
-
-
EUCLID'S ELEMENTS
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
4
4
7
EUCLID'S
73
28
1
4
-
-
-
-
-
-
-
-
-
E
=
5
4
4
8
ELEMENTS
93
30
3
4
-
-
-
-
-
-
-
-
-
S
-
10
4
4
15
EUCLID'S ELEMENTS
166
58
4
4
1
2
3
4
5
6
7
8
9
-
-
1+0
4
4
1+5
-
1+6+6
5+8
1+0
4
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
13
13
4
4
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
4
4
4
4
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
-
1
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
-
2
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
-
3
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
-
4
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
I
=
9
-
5
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
D
=
7
-
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
S
=
1
-
7
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
E
=
5
-
8
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
L
=
3
-
9
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
E
=
5
-
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
M
=
4
-
11
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
12
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
-
13
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
14
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
S
=
1
-
15
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
-
-
58
4
4
15
-
166
76
58
-
2
2
12
8
25
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
1+2
-
2+5
-
-
-
-
-
-
-
-
-
-
EUCLID'S ELEMENTS
-
-
-
-
2
2
3
8
7
6
7
8
9
E
=
5
4
4
7
EUCLID'S
73
28
1
4
-
-
-
-
-
-
-
-
-
E
=
5
4
4
8
ELEMENTS
93
30
3
4
-
-
-
-
-
-
-
-
-
S
-
10
4
4
15
EUCLID'S ELEMENTS
166
58
4
4
-
-
-
-
-
-
-
-
-
-
-
1+0
4
4
1+5
-
1+6+6
5+8
1+0
4
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
13
13
4
4
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
1+3
1+3
-
4
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
4
4
4
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
EUCLID'S ELEMENTS
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
4
4
7
EUCLID'S
73
28
1
4
-
-
-
-
-
-
-
-
-
E
=
5
4
4
8
ELEMENTS
93
30
3
4
-
-
-
-
-
-
-
-
-
S
-
10
4
4
15
EUCLID'S ELEMENTS
166
58
4
4
1
2
3
4
5
6
7
8
9
-
-
1+0
4
4
1+5
-
1+6+6
5+8
1+0
4
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
13
13
4
4
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
4
4
4
4
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
S
=
1
-
7
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
-
15
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
14
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
-
2
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
C
=
3
-
3
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
-
4
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
-
9
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
D
=
7
-
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
M
=
4
-
11
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
-
1
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
-
8
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
-
10
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
E
=
5
-
12
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
-
13
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
I
=
9
-
5
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
-
-
58
4
4
15
-
166
76
58
-
2
2
12
8
25
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
1+2
-
2+5
-
-
-
-
-
-
-
-
-
-
EUCLID'S ELEMENTS
-
-
-
-
2
2
3
8
7
6
7
8
9
E
=
5
4
4
7
EUCLID'S
73
28
1
4
-
-
-
-
-
-
-
-
-
E
=
5
4
4
8
ELEMENTS
93
30
3
4
-
-
-
-
-
-
-
-
-
S
-
10
4
4
15
EUCLID'S ELEMENTS
166
58
4
4
-
-
-
-
-
-
-
-
-
-
-
1+0
4
4
1+5
-
1+6+6
5+8
1+0
4
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
13
13
4
4
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
1+3
1+3
-
4
-
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
4
4
4
-
1
2
3
4
5
6
7
8
9

 

 

-
-
-
-
-
-
EUCLID'S ELEMENTS
-
-
-
-
1
2
3
4
5
9
E
=
5
4
4
7
EUCLID'S
73
28
1
4
-
-
-
-
-
-
E
=
5
4
4
8
ELEMENTS
93
30
3
4
-
-
-
-
-
-
S
-
10
4
4
15
EUCLID'S ELEMENTS
166
58
4
4
1
2
3
4
5
9
-
-
1+0
4
4
1+5
-
1+6+6
5+8
1+0
4
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
13
13
4
4
1
2
3
4
5
9
-
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
4
4
4
4
1
2
3
4
5
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
9
S
=
1
-
7
1
S
19
10
1
-
1
-
-
-
-
-
S
=
1
-
15
1
S
19
10
1
-
1
-
-
-
-
-
T
=
2
-
14
1
T
20
2
2
-
-
2
-
-
-
-
U
=
3
-
2
1
U
21
3
3
-
-
-
3
-
-
-
C
=
3
-
3
1
C
3
3
3
-
-
-
3
-
-
-
L
=
3
-
4
1
L
12
3
3
-
-
-
3
-
-
-
L
=
3
-
9
1
L
12
3
3
-
-
-
3
-
-
-
D
=
7
-
6
1
D
4
4
4
-
-
-
-
4
-
-
M
=
4
-
11
1
M
13
4
4
-
-
-
-
4
-
-
E
=
5
-
1
1
E
5
5
5
-
-
-
-
-
5
-
E
=
5
-
8
1
E
5
5
5
-
-
-
-
-
5
-
E
=
5
-
10
1
E
5
5
5
-
-
-
-
-
5
-
E
=
5
-
12
1
E
5
5
5
-
-
-
-
-
5
-
N
=
5
-
13
1
N
14
5
5
-
-
-
-
-
5
-
I
=
9
-
5
1
I
9
9
9
-
-
-
-
-
-
9
-
-
58
4
4
15
-
166
76
58
-
2
2
12
8
25
9
-
-
-
-
-
-
-
-
-
-
-
-
-
1+2
-
2+5
-
-
-
-
-
-
-
EUCLID'S ELEMENTS
-
-
-
-
2
2
3
8
7
9
E
=
5
4
4
7
EUCLID'S
73
28
1
4
-
-
-
-
-
-
E
=
5
4
4
8
ELEMENTS
93
30
3
4
-
-
-
-
-
-
S
-
10
4
4
15
EUCLID'S ELEMENTS
166
58
4
4
-
-
-
-
-
-
-
-
1+0
4
4
1+5
-
1+6+6
5+8
1+0
4
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
13
13
4
4
1
2
3
4
5
9
-
-
-
-
-
-
-
1+3
1+3
-
4
-
-
-
-
-
-
S
-
1
4
4
6
EUCLID'S ELEMENTS
4
4
4
-
1
2
3
4
5
9

 

 

Daily Mail, Thursday, May 12, 2016
ANSWERS TO CORRESPONDENTS
Compiled by Charles Legge

Page 58

QUESTION Did ancient scholars such as Aristotle, Socrates and Euclid make a good living through their learned works? What sort of income did they make compared with the general population?

SOCRATES, like his father, was a stonemason for many years before devoting his life to philosophy.
Contemporaries differ in their account of how Socrates supported himself as a philosopher. Both Xenophon, a student of his, and Aristophanes say Socrates received payment for teaching, while Plato, who had also been one of his students, writes that Socrates explicitly denied accepting payment, citing his poverty as proof.

Socrates's wife Xanthippe, a younger woman who bore him three sons, was described by Xenophon as 'undesirable'. She often complained that Socrates wasn't supporting his family.

Socrates's marriage was not a happy one, hence his lament: 'By all means, marry. If you get a good wife, you'll become happy; if you get a bad one, you'll become a philosopher.'

Plato believed that virtue could not be taught and it was immoral to charge pupils tuition fees. Lord Byron once held a similar -position, declaring that he would not `prostitute his genius for hire'.

Schools of philosophy such as Plato's Academy, Aristotle's Lyceum, the Epicureans' Garden, or the Stoics' Porch all offered free room and board plus free tuition. These `schools' had wealthy patrons who supported them, much as ballet and opera companies do today, and the teachers received food and board but no pay.

By the time Aristotle had established his Lyceum, he probably didn't need payment. He had previously been hired by Philip of Macedon to teach his precocious son Alexander (later the Great').

Philip built a whole institution for Aristotle to teach Alexander and the other ( nobles at Mieza. The ruins are an hour's drive from Thessaloniki today. Philip also rebuilt Aristotle's home-town Stageira and bought back and freed all of Aristotle's compatriots whom he had previously sold into slavery.

The Cynics lived without personal wealth or property and begged for a living. The most famous cynic was Diogenes of Sinope, who supposedly lived in a pithos (a big wine vat). When Alexander asked him: 'What can I do-for you?' he answered: `Move. You're blocking the sun.'

At the other end of the spectrum were the Sophists, itinerant professional teachers and intellectuals who frequented Greek cities in the second half of the fifth century BC. In return for a fee, the sophists offered young wealthy Greek men an education in aret (virtue or excellence), thereby attaining wealth and fame.

This payment for knowledge aroused significant antipathy from Plato and Aristotle — the term sophistry has since come to signify the deliberate use of fallacious reasoning, intellectual charlatanism and moral unscrupulousness.

Euclid was a great Greek mathematician, 'father of geometry' and author of Elements. Practically nothing is known of Euclid's life but it is presumed that he was born around 330 BC in Tyre.

According to various Arabic authors, he came from a wealthy background, but the accounts are thought to be fictitious. As a mathematician he would not have had philosophical difficulties with money, but his financial status is unknown.
Dr P L. Cray, Nottingham.

 

 

 
 
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