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.

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
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
1
-
+
=
10
1+0
=
1
=
1
=
1
-
-
-
9
-
19
-
+
=
28
2+8
=
10
1+0
1
=
1
-
5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
-
6
-
9
-
2
+
=
17
1+7
=
8
=
8
=
8
-
-
6
-
18
-
20
+
=
44
4+4
=
8
=
8
=
8
-
5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
-
6
9
18
19
20
+
=
72
7+2
=
9
=
9
=
9
-
-
6
9
9
1
2
+
=
27
2+7
=
9
=
9
=
9
-
5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
3
THREE
3
-
-
-
-
-
4
-
-
-
-
-
-
-
-
4
FOUR
4
-
-
-
-
-
5
-
-
-
-
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
-
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
27
5
F
I
R
S
T
-
-
18
-
-
5
-
27
-
18
2+7
-
-
9
9
-
-
-
-
1+8
-
-
-
-
2+7
-
1+8
9
5
F
I
R
S
T
-
-
9
-
-
5
-
9
-
9
-
-
6
9
9
1
2
-
-
-
-
-
-
-
-
-
-
9
5
F
I
R
S
T
-
-
9
-
-
5
-
9
-
9

 

 

5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
-
9
-
1
-
+
=
10
1+0
=
1
=
1
=
1
-
-
9
-
19
-
+
=
28
2+8
=
10
1+0
1
=
1
5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
6
-
9
-
2
+
=
17
1+7
=
8
=
8
=
8
-
6
-
18
-
20
+
=
44
4+4
=
8
=
8
=
8
5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
6
9
18
19
20
+
=
72
7+2
=
9
=
9
=
9
-
6
9
9
1
2
+
=
27
2+7
=
9
=
9
=
9
5
F
I
R
S
T
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
-
2
-
-
2
occurs
x
1
=
2
=
2
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
=
6
9
9
-
-
-
-
9
occurs
x
2
=
18
1+8
9
5
F
I
R
S
T
-
-
18
-
-
5
-
27
-
18
-
-
9
9
-
-
-
-
1+8
-
-
-
-
2+7
-
1+8
5
F
I
R
S
T
-
-
9
-
-
5
-
9
-
9
-
6
9
9
1
2
-
-
-
-
-
-
-
-
-
-
5
F
I
R
S
T
-
-
9
-
-
5
-
9
-
9

 

 

F
=
6
-
5
FIRST
72
27
9
S
=
1
-
6
SECOND
60
24
6
T
=
2
-
5
THIRD
59
32
5
F
=
6
-
6
FOURTH
88
25
7
F
=
6
-
5
FIFTH
49
31
4
S
=
1
-
5
SIXTH
80
26
8
S
=
1
-
7
SEVENTH
93
30
3
E
=
5
-
6
EIGHTH
57
39
3
N
=
5
-
5
NINTH
65
29
2
-
-
33
-
50
First Total
623
263
47
-
-
3+3
-
5+0
Add to Reduce
6+2+3
2+6+3
4+7
-
-
6
-
5
Second Total
11
11
11
-
-
-
-
-
Reduce to Deduce
1+1
1+1
1+1
-
-
6
-
5
Essence of Number
2
2
2

 

 

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

 

 

-
ALL IS NUMBER
-
-
-
3
ALL
25
7
7
2
IS
28
10
1
6
NUMBER
73
28
1
11
ALL IS NUMBER
126
45
9
1+1
-
1+2+6
4+5
-
2
ALL IS NUMBER
9
9
9

 

 

1
I
9
9
9
3
SAY
45
9
9
7
DECODER
54
36
9
6
DECODE
36
27
9
4
CODE
27
18
9
-
-
-
-
-
-
-
-
-
-
5
CODED
31
22
4
5
CODES
46
19
1

 

 

-
CODE
--
-
-
2
C+O
18
9
9
2
D+E
9
9
9
-
DECODE
--
-
-
2
D+E
9
9
9
2
C+O
18
9
9
2
D+E
9
9
9
-
DECODER
--
-
-
2
D+E
9
9
9
2
C+O
18
9
9
2
D+E
9
9
9
1
R
18
9
9

 

CODE DE CODE

C+O D+E D+E C+O D+E

9+9+9+9+9

C+O D+E D+E C+O D+E

CODE DE CODE

 

10
CODE DE CODE
67
13
4
6
C+O
18
9
9
4
D+E
9
9
9
4
D+E
9
9
9
6
C+O
18
9
9
4
D+E
9
9
9
10
CODE DE CODE
63
36
36
1+0
-
6+3
3+6
3+6
1
CODE DE CODE
9
9
9

 

 

8
QUO VADIS
108
36
9
6
VOX POP
108
36
9
11
SORROW
108
36
9
8
INSTINCT
108
36
9
11
DESCENDANTS
108
36
9
8
STARTING
108
36
9
9
NARRATIVE
108
36
9
9
SEQUENCES
108
36
9
9
TANTALIZE
108
36
9
9
COMPLETES
108
36
9
9
AMBIGUOUS
108
36
9
7
JOURNEY
108
36
9

 

 

4
GODS
45
18
9
6
SPIRIT
91
37
1
4
ISIS
56
20
2
6
OSIRIS
89
35
8
6
VISHNU
93
30
3
5
SHIVA
59
59
5
7
KRISHNA
80
35
8
7
SHRISTI
102
39
3
5
RISHI
63
36
9
4
ISHI
45
27
9
6
CHRIST
77
32
5

 

 

4
GODS
=
9
45
18
9
6
SPIRIT
=
S9999
91
37
1
4
ISIS
=
9S9S
56
20
2
6
OSIRIS
=
OS999S
89
35
8
6
VISHNU
=
999U
93
30
3
5
SHIVA
=
99VA
59
59
5
7
KRISHNA
=
K999NA
80
35
8
7
SHRISTI
=
999ST9
102
39
3
5
RISHI
=
9999
63
36
9
4
ISHI
=
999
45
27
9
6
CHRIST
=
C999T
77
32
5

 

 

GNOSIS GODS SON IS

 

LETTERS AND NUMBERS AND NUMBERS AND LETTERS

 

ZERO ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
-
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
O
=
6
-
3
ONE
34
16
7
-
-
-
-
-
-
-
7
-
-
2
-
T
=
2
-
3
TWO
58
13
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
-
5
THREE
56
29
2
-
-
2
-
-
-
-
-
-
-
4
-
F
=
6
-
4
FOUR
60
24
6
-
-
-
-
-
-
6
-
-
-
5
-
F
=
6
-
4
FIVE
42
24
6
-
-
-
-
-
-
6
-
-
-
6
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
7
-
S
=
1
-
5
SEVEN
65
20
2
-
-
2
-
-
-
-
-
-
-
8
-
E
=
5
-
5
EIGHT
49
31
4
-
-
-
-
4
-
-
-
-
-
9
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
3
-
5
-
-
8
9
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
3
-
5
-
7
8
9
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
3
4
5
-
-
8
9
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
3
-
5
-
-
8
9
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
3
-
5
6
-
8
9
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
3
-
5
6
-
8
9
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
3
-
5
-
7
8
9
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
3
-
5
-
-
8
9
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
3
4
5
-
-
8
9
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
3
-
5
6
-
8
9
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
3
8
5
18
14
8
9
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
-
-
1+8
1+4
-
-
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
3
8
5
9
5
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
4
6
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
3
-
T
=
2
4
5
THREE
56
29
2
-
-
2
-
-
-
7
-
S
=
1
8
5
SEVEN
65
20
2
-
-
2
-
-
-
2
-
T
=
2
3
3
TWO
58
13
4
-
-
-
4
-
-
8
-
E
=
5
9
5
EIGHT
49
31
4
-
-
-
4
-
-
4
-
F
=
6
5
4
FOUR
60
24
6
-
-
-
-
6
-
5
-
F
=
6
6
4
FIVE
42
24
6
-
-
-
-
6
-
9
-
N
=
5
10
4
NINE
42
24
6
-
-
-
-
6
-
1
-
O
=
6
2
3
ONE
34
16
7
-
-
-
-
-
7
6
-
S
=
1
7
3
SIX
52
16
7
-
-
-
-
-
7
45
-
-
-
42
-
40
Add
522
225
45
-
1
4
8
18
14
4+5
-
-
-
4+2
-
4+0
Reduce
5+2+2
2+2+5
4+5
-
-
-
-
1+8
1+4
9
-
-
-
6
-
4
Deduce
9
9
9
-
1
4
8
9
5

 

 

0
-
4
ZERO
8
5
9
6
-
=
28
2+8
=
10
1+0
1
1
-
3
ONE
6
5
5
-
-
=
16
1+6
=
7
-
7
2
-
3
TWO
2
5
6
-
-
=
13
1+3
=
4
-
4
3
-
5
THREE
2
8
9
5
5
=
29
2+9
=
11
1+1
2
4
-
4
FOUR
6
6
3
9
-
=
24
2+4
=
6
-
6
5
-
4
FIVE
6
9
4
5
-
=
24
2+4
=
6
-
6
6
-
3
SIX
1
9
6
-
-
=
16
1+6
=
7
-
7
7
-
5
SEVEN
1
5
4
5
5
=
20
2+0
=
2
-
2
8
-
5
EIGHT
5
9
7
8
2
=
31
3+1
=
4
-
4
9
-
4
NINE
5
9
5
5
-
=
24
2+4
=
6
-
6
45
-
40
Add
42
70
58
43
12
-
225
-
-
63
-
45
4+5
-
4+0
-
4+2
7+0
5+8
4+3
1+2
-
2+2+5
-
-
6+3
-
4+5
9
-
4
Reduce
6
7
13
7
3
-
9
-
-
9
-
-
-
-
-
-
-
-
1+3
-
-
-
-
-
-
-
-
-
9
-
4
Deduce
6
7
4
7
3
-
9
-
-
9
-
9

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 

O
=
6
-
3
ONE
34
16
7
T
=
2
-
3
TWO
56
29
2
T
=
2
-
5
THREE
52
16
7
F
=
6
-
4
FOUR
60
24
6
F
=
6
-
4
FIVE
65
20
2
S
=
1
-
3
SIX
42
24
6
S
=
1
-
5
SEVEN
58
13
4
E
=
5
-
5
EIGHT
49
31
4
N
=
5
-
4
NINE
42
24
6
-
-
34
-
36
-
458
197
44
-
-
3+4
-
3+6
-
4+5+8
1+9+7
4+4
-
-
7
4
9
-
17
17
8
-
-
-
-
-
-
1+7
1+7
-
-
-
7
-
9
-
8
8
8

 

ONE TWO THREE FOUR FIVE SIX SEVEN EIGHT NINE

 


One, Two, Buckle My Shoe - Wikipedia
en.wikipedia.org › wiki › One,_Two,_Buckle_My_Shoe

"One, Two, Buckle My Shoe" is a popular English language nursery rhyme and counting-out rhyme. It has a Roud Folk Song Index number of 11284.

A common version is given in The Oxford Dictionary of Nursery Rhymes:

One, two, Buckle my shoe;

Three, four, Knock at the door;

Five, six, Pick up sticks;

Seven, eight, Lay them straight:

Nine, ten, A big fat hen;

Eleven, twelve, Dig and delve;

Thirteen, fourteen, Maids a-courting;

Fifteen, sixteen, Maids in the kitchen;

Seventeen, eighteen, Maids in waiting

Nineteen, twenty, My plate's empty.

Other sources give differing lyrics

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
1
-
F
=
6
2
5
FIRST
72
27
9
-
-
-
-
-
-
-
-
-
9
2
-
S
=
1
3
6
SECOND
60
24
6
-
-
-
-
-
-
6
-
-
-
3
-
T
=
2
4
5
THIRD
59
32
5
-
-
-
-
-
5
-
-
-
-
4
-
F
=
6
5
6
FOURTH
88
34
7
-
-
-
-
-
-
-
7
-
-
5
-
F
=
6
6
5
FIFTH
49
31
4
-
-
-
-
4
-
-
-
-
-
6
-
S
=
1
7
5
SIXTH
80
26
8
-
-
-
-
-
-
-
-
8
-
7
-
S
=
1
8
7
SEVENTH
93
30
3
-
-
-
3
-
-
-
-
-
-
8
-
E
=
5
9
6
EIGHTH
57
39
3
-
-
-
3
-
-
-
-
-
-
9
-
N
=
5
10
5
NINTH
65
29
2
-
-
2
-
-
-
-
-
-
-
45
-
-
-
41
-
54
Add
687
300
48
-
1
2
6
4
5
6
7
8
9
4+5
-
-
-
4+1
-
5+4
Reduce
6+8+7
3+0+0
4+8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Deduce
21
3
12
-
1
2
6
4
5
6
7
8
9
-
-
-
-
-
-
-
Reduce
2+1
-
1+2
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Essence
3
3
3
-
1
2
6
4
5
6
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
0
-
Z
=
8
1
4
ZERO
64
28
1
-
1
-
-
-
-
-
-
-
-
9
-
N
=
5
10
5
NINTH
65
29
2
-
-
2
-
-
-
-
-
-
-
7
-
S
=
1
8
7
SEVENTH
93
30
3
-
-
-
3
-
-
-
-
-
-
8
-
E
=
5
9
6
EIGHTH
57
39
3
-
-
-
3
-
-
-
-
-
-
5
-
F
=
6
6
5
FIFTH
49
31
4
-
-
-
-
4
-
-
-
-
-
3
-
T
=
2
4
5
THIRD
59
32
5
-
-
-
-
-
5
-
-
-
-
2
-
S
=
1
3
6
SECOND
60
24
6
-
-
-
-
-
-
6
-
-
-
4
-
F
=
6
5
6
FOURTH
88
34
7
-
-
-
-
-
-
-
7
-
-
6
-
S
=
1
7
5
SIXTH
80
26
8
-
-
-
-
-
-
-
-
8
-
1
-
F
=
6
2
5
FIRST
72
27
9
-
-
-
-
-
-
-
-
-
9
45
-
-
-
41
-
54
Add
687
300
48
-
1
2
6
4
5
6
7
8
9
4+5
-
-
-
4+1
-
5+4
Reduce
6+8+7
3+0+0
4+8
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Deduce
21
3
12
-
1
2
6
4
5
6
7
8
9
-
-
-
-
-
-
-
Reduce
2+1
-
1+2
-
-
-
-
-
-
-
-
-
-
9
-
-
-
5
-
9
Essence
3
3
3
-
1
2
6
4
5
6
7
8
9

 

NUMBERS RE-ARRANGED IN NUMERICAL ORDER

 

O
=
6
-
7
ORDINAL
73
37
1
N
=
5
-
7
NUMBERS
92
38
2
-
-
11
-
14
First Total
165
75
3
-
-
1+1
-
1+4
Add to Reduce
1+6+5
7+5
-
-
-
2
-
5
Second Total
12
12
3
-
-
-
-
-
Reduce to Deduce
1+2
1+2
-
-
-
2
-
5
Essence of Number
3
3
3

 

THE FEAR OF NUMBERS

 

T
=
2
-
3
THE
33
15
6
F
=
6
-
4
FEAR
30
21
3
O
=
6
-
2
OF
21
12
3
N
=
5
-
7
NUMBERS
92
38
2
-
-
19
-
16
First Total
176
86
14
-
-
1+9
-
1+6
Add to Reduce
1+7+6
8+6
1+4
-
-
10
-
7
Second Total
14
14
5
-
-
1+0
-
-
Reduce to Deduce
1+4
1+4
-
-
-
1
-
7
Essence of Number
5
5
5

 

 

THE CITY OF REVELATION

John Michell 1972

Gnostic Numbers 

Page 118

"Exactly how they came by their science of numbers is not certain, but they appear to have made the discovery that the numerical code of the Hebrew cabala and those of other mystical systems throughout the world were all degenerate versions of the same once universal system of knowledge that returns within the reach of human perception at certain intervals in time. As the revealed books of the Old Testament were written in a code to be interpreted by reference to number, so were the revelations of the gnostic prophets expressed in words and phrases formed on a system of proportion, which gave life and power to the Christian myth, while allowing initiates to gain a further understanding of the balance of forces that produce the world of phenomena."  

Page 121 / How it was ever supposed that the Hebrew alphabet of twenty- two letters, together with various geometrical symbols might serve to represent the entire moving pattern of the universe is not now easy to understand; but, since all ancient philosophy, religion, magic, the arts and sciences were based on the concept of a correspondence between numbers and cosmic law, it is impossible to appreciate the history of the past without some actual experience of the fundamental truth behind this approach to cosmology. Plato gives a remarkable account in Cratylos of the origin of language and letters. The philosopher is asked whether there is any particular significance in names, for surely they are simply a matter of convention and one is more or less as good as another. After all, foreigners call things by different names and appear to manage just as well as the Greeks in this respect. The answer given is that despite appearances the matter is by no means so simple. Words are the tools of expression, and the making of these, as of any other tools, is the task of a skilled craftsman, in this case the lawgiver. Language has grown corrupt over the ages, and names have deviated from their original perfect forms, which are those used by the gods. But all names were originally formed on certain principles, through knowledge of which it is possible to discover the archetypal meaning of words in current use. 'So perhaps the man who knows about names considers their value and is not confused if some letter is added, transposed or subtracted, or even if the force of the name is expressed in quite different letters.' This is Plato's clearest reference to the mystical science of the cabala, in which letters, words and whole phrases may be substituted for others of the same numerical value. The force of a name is to be found in its number, and can be expressed through any combination of letters, provided the sum of the letters amounts to the appropriate number by gematria.

 

THE MAGIC ALPHABET

 

A
=
1
-
9
ABCDEFGHI
45
45
45
-
-
-
-
-
-
-
-
-
-
J
=
1
-
9
JKLMNOPQR
126
45
45
-
-
-
-
-
-
-
-
-
-
S
=
1
-
8
STUVWXYZ
180
45
36
-
-
-
-
-
-
-
-
-
-
-
-
-
-
351
135
126
-
1
2
3
4
5
6
7
8
9
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
B
=
2
2
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
D
=
4
4
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
6
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
45
-
-
-
45
45
45
-
-
-
-
-
-
-
-
-
-
J
=
1
10
1
J
10
1
1
-
1
-
-
-
-
-
-
-
-
K
=
2
11
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
13
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
15
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
16
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
Q
=
8
17
1
Q
17
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
18
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
45
-
-
-
126
45
45
-
-
-
-
-
-
-
-
-
-
S
=
1
19
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
21
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
22
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
W
=
5
23
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
X
=
6
24
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
Y
=
7
25
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Z
=
8
26
1
Z
26
8
8
-
-
-
-
-
-
-
-
8
-
36
-
-
-
180
45
36
-
-
-
-
-
-
-
-
-
-
126
-
-
-
-
-
-
-
3
6
9
12
15
18
21
24
18
-
-
1+2+6
-
9
ABCDEFGHI
45
45
45
-
-
-
-
1+2
1+5
1+8
2+1
2+4
1+8
-
-
9
-
9
JKLMNOPQR
126
45
45
-
3
6
9
3
6
9
3
6
9
-
-
-
-
8
STUVWXYZ
180
45
36
-
-
-
-
-
-
-
-
-
-
-
-
9
-
26
ADD TO REDUCE
351
135
126
-
3
6
9
3
6
9
3
6
9
-
-
-
-
2+6
REDUCE TO DEDUCE
3+5+1
1+3+5
1+2+6
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
ESSENCE OF NUMBER
9
9
9
-
3
6
9
3
6
9
3
6
9

 

 

A
=
1
-
9
ABCDEFGHI
45
45
45
-
-
-
-
-
-
-
-
-
-
J
=
1
-
9
JKLMNOPQR
126
45
45
-
-
-
-
-
-
-
-
-
-
S
=
1
-
8
STUVWXYZ
180
45
36
-
-
-
-
-
-
-
-
-
-
-
-
-
-
351
135
126
-
1
2
3
4
5
6
7
8
9
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
B
=
2
2
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
D
=
4
4
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
6
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
J
=
1
10
1
J
10
1
1
-
1
-
-
-
-
-
-
-
-
K
=
2
11
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
13
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
15
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
P
=
7
16
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
Q
=
8
17
1
Q
17
8
8
-
-
-
-
-
-
-
-
8
-
R
=
9
18
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
19
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
21
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
22
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
W
=
5
23
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
X
=
6
24
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
Y
=
7
25
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Z
=
8
26
1
Z
26
8
8
-
-
-
-
-
-
-
-
8
-
126
-
-
-
-
-
-
-
3
6
9
12
15
18
21
24
18
-
-
1+2+6
-
9
ABCDEFGHI
45
45
45
-
-
-
-
1+2
1+5
1+8
2+1
2+4
1+8
-
-
9
-
9
JKLMNOPQR
126
45
45
-
3
6
9
3
6
9
3
6
9
-
-
-
-
8
STUVWXYZ
180
45
36
-
-
-
-
-
-
-
-
-
-
-
-
9
-
26
ADD TO REDUCE
351
135
126
-
3
6
9
3
6
9
3
6
9
-
-
-
-
2+6
REDUCE TO DEDUCE
3+5+1
1+3+5
1+2+6
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
ESSENCE OF NUMBER
9
9
9
-
3
6
9
3
6
9
3
6
9

 

 

A
=
1
-
9
ABCDEFGHI
45
45
45
-
-
-
-
-
-
-
-
-
-
J
=
1
-
9
JKLMNOPQR
126
45
45
-
-
-
-
-
-
-
-
-
-
S
=
1
-
8
STUVWXYZ
180
45
36
-
-
-
-
-
-
-
-
-
-
-
-
-
-
351
135
126
-
1
2
3
4
5
6
7
8
9
A
=
1
1
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
J
=
1
10
1
J
10
1
1
-
1
-
-
-
-
-
-
-
-
S
=
1
19
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
B
=
2
2
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
K
=
2
11
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
C
=
3
3
1
C
3
3
3
-
-
-
3
-
-
-
-
-
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
U
=
3
21
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
D
=
4
4
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
M
=
4
13
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
V
=
4
22
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
E
=
5
5
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
N
=
5
14
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
W
=
5
23
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
F
=
6
6
1
F
6
6
6
-
-
-
-
-
-
6
-
-
-
O
=
6
15
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
X
=
6
24
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
G
=
7
7
1
G
7
7
7
-
-
-
-
-
-
-
7
-
-
P
=
7
16
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
Y
=
7
25
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
H
=
8
8
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
Q
=
8
17
1
Q
17
8
8
-
-
-
-
-
-
-
-
8
-
Z
=
8
26
1
Z
26
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
R
=
9
18
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
126
-
-
-
-
-
-
-
3
6
9
12
15
18
21
24
18
-
-
1+2+6
-
9
ABCDEFGHI
45
45
45
-
-
-
-
1+2
1+5
1+8
2+1
2+4
1+8
-
-
9
-
9
JKLMNOPQR
126
45
45
-
3
6
9
3
6
9
3
6
9
-
-
-
-
8
STUVWXYZ
180
45
36
-
-
-
-
-
-
-
-
-
-
-
-
9
-
26
ADD TO REDUCE
351
135
126
-
3
6
9
3
6
9
3
6
9
-
-
-
-
2+6
REDUCE TO DEDUCE
3+5+1
1+3+5
1+2+6
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
ESSENCE OF NUMBER
9
9
9
-
3
6
9
3
6
9
3
6
9

 

 

LETTERS TRANSPOSED INTO NUMBER

RE-ARRANGED IN NUMERICAL ORDER

 

S
=
1
-
8
STUVWXYZ
180
36
36
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
19
1
S
19
1
1
-
1
-
-
-
-
-
-
-
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
U
=
3
21
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
V
=
4
22
1
V
22
4
4
-
-
-
-
4
-
-
-
-
-
W
=
5
23
1
W
23
5
5
-
-
-
-
-
5
-
-
-
-
X
=
6
24
1
X
24
6
6
-
-
-
-
-
-
6
-
-
-
Y
=
7
25
1
Y
25
7
7
-
-
-
-
-
-
-
7
-
-
Z
=
8
26
1
Z
26
8
8
-
-
-
-
-
-
-
-
8
-
36
-
8
STUVWXYZ
180
36
36
-
1
2
3
4
5
6
7
8
9
-
-
3+6
-
-
-
1+8+0
3+6
3+6
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
STUVWXYZ
9
9
9
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
STUVWXYZ
9
9
9
-
1
2
3
4
5
6
7
8
9

 

STUVWXYZ 180 ZYXWVUTS

STUVWXYZ 36 ZYXWVUTS

STUVWXYZ 9 ZYXWVUTS

 

 

JUST SIX NUMBERS

Martin Rees

1
999

OUR COSMIC HABITAT

PLANETS STARS AND LIFE

Page 24

A

proton

is

1,836 times heavier than an electron, and the number 1,836

would have the same connotations to any 'intelligence'

Page 24 / 25
"A manifestly artificial signal- even if it were as boring as lists of prime numbers, or the digits of 'pi' - would imply that 'intelli- gence' wasn't unique to the Earth and had evolved elsewhere. The nearest potential sites are so far away that signals would take many years in transit. For this reason alone, transmission would be primarily one-way. There would be time to send a measured response, but no scope for quick repartee!
Any remote beings who could communicate with us would have some concepts of mathematics and logic that paralleled our own. And they would also share a knowledge of the basic particles and forces that govern our universe. Their habitat may be very different (and the biosphere even more different) from ours here on Earth; but they, and their planet, would be made of atoms just like those on Earth. For them, as for us, the most important particles would be protons and electrons: one electron orbiting a proton makes a hydrogen atom, and electric currents and radio transmitters involve streams of electrons.
A proton is 1,836 times heavier than an electron, and the number 1,836 would have the same connotations to any 'intelligence' "able and motivated to transmit radio signals. All the basic forces and natural laws would be the same. Indeed, this uniformity - without which our universe would be a far more baffling place - seems to extend to the remotest galaxies that astronomers can study. (Later chapters in this book will, however, speculate about other 'universes', forever beyond range of our telescopes, where different laws may prevail.)
Clearly, alien beings wouldn't use metres, kilograms or seconds. But we could exchange information about the ratios of two masses (such as thc ratio of proton and electron masses) or of two lengths, which are 'pure numbers' that don't depend on what units are used: the statement that one rod is ten times as long as another is true (or false) whether we measure lengths / in feet or metres or some alien units

 

A

proton

is

1,836 times heavier than an electron, and the number 1,836

would have the same connotations to any 'intelligence'

 

E
=
5
-
8
EIGHTEEN
73
46
1
T
=
2
-
9
THIRTYSIX
152
53
8
-
-
7
4
17
First Total
225
99
9
-
-
-
-
1+7
Add to Reduce
2+2+5
9+9
-
Q
-
7
-
8
Second Total
9
18
9
-
-
-
-
-
Reduce to Deduce
-
1+8
-
Q
-
7
-
8
Essence of Number
9
9
9

 

 

3
SUN
54
9
9
5
EARTH
52
25
7
4
MOON
57
21
3
12
First Total
163
55
19
1+2
Add to Reduce
1+6+3
5+5
6+2
3
Second Total
10
10
10
-
Reduce to Deduce
1+0
1+0
1+0
3
Essence of Number
1
1
1

 

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 each hand 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 flower 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
-
<