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Evokation
  
 
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THE NUCLEAR FAMILY 1969

 

 

A

MAZE

IN

ZAZAZA ENTERS AZAZAZ

AZAZAZAZAZAZAZZAZAZAZAZAZAZA

ZAZAZAZAZAZAZAZAZAAZAZAZAZAZAZAZAZAZ

THE

MAGICALALPHABET

ABCDEFGHIJKLMNOPQRSTUVWXYZZYXWVUTSRQPONMLKJIHGFEDCBA

12345678910111213141516171819202122232425262625242322212019181716151413121110987654321

 

 

 

 

 

 

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

 

 

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

 

 

BEYOND THE VEIL ANOTHER VEIL ANOTHER VEIL BEYOND

 

 

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

 

 

A

HISTORY OF GOD

Karen Armstrong 1993

The God of the Mystics

Page 250

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

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

....

 

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

 

 

 

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

 

 

 

LIGHT AND LIFE

Lars Olof Bjorn 1976

Page 197

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

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

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

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

 

DNA AND DNA DNA AND DNA DNA AND DNA

DNA AND DNA DNA AND DNA DNA AND DNA

 

 

 

A QUEST FOR THE BEGINNING AND THE END

Graham Hancock 1995

Chapter 32

Speaking to the Unborn

Page 285

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

A message in the bottle of time

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

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

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

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

"WRITTEN IN THE ETERNAL LANGUAGE OF MATHEMATICS"

 

 

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

 

 

THERE IS NO ATTEMPT MADE TO DESCRIBE THE CREATIVE PROCESS REALISTICALLY

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

AS THOUGH WRITING A BOOK BUT LANGUAGE ENTIRELY TRANSFORMED

THE MESSAGE OF CREATION IS CLEAR EACH LETTER OF

THE

ALPHABET

IS

GIVEN

A

NUMERICAL

VALUE BY COMBINING THE LETTERS WITH THE SACRED NUMBERS

REARRANGING THEM IN ENDLESS CONFIGURATIONS

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

 

....

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

 

 

 

 

THE LIGHT IS RISING RISING IS THE LIGHT

 

 

 

THIS IS THE SCENE OF THE SCENE UNSEEN

THE UNSEEN SEEN OF THE SCENE UNSEEN THIS IS THE SCENE

 

 

 

 

THE LIGHT IS RISING NOW RISING IS THE LIGHT

“THE WORLD IS BUILT UPON THE POWER OF NUMBERS”

 

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

 

 

THE DEATH OF GODS IN ANCIENT EGYPT

Jane B. Sellars 1992

Page 204

"The overwhelming awe that accompanies the realization, of the measurable orderliness of the universe strikes modern man as well. Admiral Weiland E. Byrd, alone In the Antarctic for five months of polar darkness, wrote these phrases of intense feeling:

Here were the imponderable processes and forces of the cosmos, harmonious and soundless. Harmony, that was it! I could feel no doubt of oneness with the universe. The conviction came that the rhythm was too orderly. too harmonious, too perfect to be a product of blind chance - that, therefore there must be purpose in the whole and that man was part of that whole and not an accidental offshoot. It was a feeling that transcended reason; that went to the heart of man's despair and found it groundless. The universe was a cosmos, not a chaos; man was as rightfully a part of that cosmos as were the day and night.10

Returning to the account of the story of Osiris, son of Cronos god of' Measurable Time, Plutarch takes, pains to remind the reader of the original Egyptian year consisting of 360 days.

Phrases are used that prompt simple mental. calculations and an attention to numbers, for example, the 360-day year is described as being '12 months of 30 days each'. Then we are told that, Osiris leaves on a long journey, during which Seth, his evil brother, plots with 72 companions to slay Osiris: He also secretly obtained the measure of Osiris and made ready a chest in which to entrap him.

The, interesting thing about this part of the-account is that nowhere in the original texts of the Egyptians are we told that Seth, has 72 companions. We have already been encouraged to equate Osiris with the concept of measured time; his father being Cronos. It is also an observable fact that Cronos-Saturn has the longest sidereal period of the known planets at that time, an orbit. of 30 years. Saturn is absent from a specific constellation for that length of time.

A simple mathematical fact has been revealed to any that are even remotely sensitive to numbers: if you multiply 72 by 30, the years of Saturn's absence (and the mention of Osiris's absence prompts one to recall this other), the resulting product is 2,160: the number of years required, for one 30° shift, or a shift: through one complete sign of the zodiac. This number multplied by the / Page205 / 12 signs also gives 25,920. (And Plutarch has reminded us of 12)

If you multiply the unusual number 72 by 360, a number that Plutarch mentions several times, the product will be 25,920, again the number of years symbolizing the ultimate rebirth.

This 'Eternal Return' is the return of, say, Taurus to the position of marking the vernal equinox by 'riding in the solar bark with. Re' after having relinquished this honoured position to Aries, and subsequently to the to other zodiacal constellations.

Such a return after 25,920 years is indeed a revisit to a Golden Age, golden not only because of a remarkable symmetry In the heavens, but golden because it existed before the Egyptians experienced heaven's changeability.

But now to inform the reader of a fact he or she may already know. Hipparaus did: not really have the exact figures: he was a trifle off in his observations and calculations. In his published work, On the Displacement of the Solstitial and Equinoctial Signs, he gave figures of 45" to 46" a year, while the truer precessional lag along the ecliptic is about 50 seconds. The exact measurement for the lag, based on the correct annual lag of 50'274" is 1° in 71.6 years, or 360° in 25,776 years, only 144 years less than the figure of 25,920.

With Hipparchus's incorrect figures a 'Great Year' takes from 28,173.9 to 28,800 years, incorrect by a difference of from 2,397.9 years to 3,024.

Since Nicholas Copernicus (AD 1473-1543) has always been credited with giving the correct numbers (although Arabic astronomer Nasir al-Din Tusi,11 born AD 1201, is known to have fixed the Precession at 50°), we may correctly ask, and with justifiable astonishment 'Just whose information was Plutarch transmitting'

AN IMPORTANT POSTSCRIPT

Of course, using our own notational system, all the important numbers have digits that reduce to that amazing number 9 a number that has always delighted budding mathematician.

Page 206

Somewhere along the way, according to Robert Graves, 9 became the number of lunar wisdom.12

This number is found often in the mythologies of the world. the Viking god Odin hung for nine days and nights on the World Tree in order to acquire the secret of the runes, those magic symbols out of which writing and numbers grew. Only a terrible sacrifice would give away this secret, which conveyed upon its owner power and dominion over all, so Odin hung from his neck those long 9 days and nights over the 'bottomless abyss'. In the tree were 9 worlds, and another god was said to have been born of 9 mothers.

Robert Graves, in his White Goddess, Is intrigued by the seemingly recurring quality of the number 72 in early myth and ritual. Graves tells his reader that 72 is always connected with the number 5, which reflects, among other things, the five Celtic dialects that he was investigating. Of course, 5 x 72= 360, 360 x 72= 25,920. Five is also the number of the planets known to the ancient world, that is, Saturn, Jupiter, Mars, Venus Mercury.

Graves suggests a religious mystery bound up with two ancient Celtic 'Tree Alphabets' or cipher alphabets, which as genuine articles of Druidism were orally preserved and transmitted for centuries. He argues convincingly that the ancient poetry of Europe was ultimately based on what its composers believed to be magical principles, the rudiments of which formed a close religious secret for centuries. In time these were-garbled, discredited and forgotten.

Among the many signs of the transmission of special numbers he points out that the aggregate number of letter strokes for the complete 22-letter Ogham alphabet that he is studying is 72 and that this number is the multiple of 9, 'the number of lunar wisdom'. . . . he then mentions something about 'the seventy day season during which Venus moves successively from. maximum eastern elongation 'to inferior conjunction and maximum western elongation'.13

Page 207

"...Feniusa Farsa, Graves equates this hero with Dionysus. Farsa has 72 assistants who helped him master the 72 languages created at the confusion of Babel, the tower of which is said to be built of 9 different materials

We are also reminded of the miraculous translation into Greek of the Five Books of Moses that was done by 72 scholars working for 72 days, Although the symbol for the Septuagint is LXX, legend, according to the fictional letter of Aristeas, records 72. The translation was done for Ptolemy Philadelphus (c.250 BC), by Hellenistic Jews, possibly from Alexandra.14

Graves did not know why this number was necessary, but he points out that he understands Frazer's Golden Bough to be a book hinting that 'the secret involves the truth that the Christian dogma, and rituals, are the refinement of a great body of primitive beliefs, and that the only original element in Christianity- is the personality of Christ.15

Frances A. Yates, historian of Renaissance hermetisma tells, us the cabala had 72 angels through which the sephiroth (the powers of God) are believed to be approached, and further, she supplies the information that although the Cabala supplied a set of 48 conclusions purporting to confirm the Christian religion from the foundation of ancient wisdom, Pico Della Mirandola, a Renaissance magus, introduced instead 72, which were his 'own opinion' of the correct number. Yates writes, 'It is no accident there are seventy-two of Pico's Cabalist conclusions, for the conclusion shows that he knew something of the mystery of the Name of God with seventy-two letters.'16

In Hamlet's Mill de Santillana adds the facts that 432,000 is the number of syllables in the Rig-Veda, which when multiplied by the soss (60) gives 25,920" (The reader is forgiven for a bit of laughter at this point)

The Bible has not escaped his pursuit. A prominent Assyriologist of the last century insisted that the total of the years recounted mounted in Genesis for the lifetimes of patriarchs from the Flood also contained the needed secret numbers. (He showed that in the 1,656 years recounted in the Bible there are 86,400 7 day weeks, and dividing this number yields / Page 208 / 43,200.) In Indian yogic schools it is held that all living beings exhale and inhale 21,600 times a day, multiply this by 2 and again we have the necessary 432 digits.

Joseph Campbell discerns the secret in the date set for the coming of Patrick to Ireland. Myth-gives this date-as-the interesting number of AD.432.18

Whatever one may think-of some of these number coincidences, it becomes difficult to escape the suspicion that many signs (number and otherwise) - indicate that early man observed the results of the movement of Precession and that the - transmission of this information was considered of prime importance.

With the awareness of the phenomenon, observers would certainly have tried for its measure, and such an endeavour would have constituted the construction-of a 'Unified Field Theory' for nothing less than Creation itself. Once determined, it would have been information worthy of secrecy and worthy of the passing on to future adepts.

But one last word about mankind's romance with number coincidences.The antagonist in John Updike's novel, Roger's Version, is a computer hacker, who, convinced, that scientific evidence of God's existence is accumulating, endeavours to prove it by feeding -all the available scientific information. into a comuter. In his search for God 'breaking, through', he has become fascinated by certain numbers that have continually been cropping up. He explains them excitedly as 'the terms of Creation':

"...after a while I noticed that all over the sheet there seemed to hit these twenty-fours Jumping out at me. Two four; two, four. Planck time, for instance, divided by the radiation constant yields a figure near eight times ten again to the negative twenty-fourth, and the permittivity of free space, or electric constant, into the Bohr radius ekla almost exactly six times ten to the negative twenty-fourth. On positive side, the electromagnetic line-structure constant times Hubble radius - that is, the size of the universe as we now perceive it gives us something quite close to ten to the twenty-fourth, and the strong-force constant times the charge on the proton produces two point four times ten to the negative eighteenth, for another I began to circle twenty-four wherever it appeared on the Printout here' - he held it up his piece of stripped and striped wallpaper, decorated / Page 209 / with a number of scarlet circles - 'you can see it's more than random.'19
This inhabitant of the twentieth century is convinced that the striking occurrences of 2 and 4 reveal the sacred numbers by which God is speaking to us.

So much for any scorn directed to ancient man's fascination with number coincidences. That fascination is alive and well, Just a bit more incomprehensible"

 

 

THE MAGIC MOUNTAIN

Thomas Mann 1875-1955

Page 466

"Had not the normal, since time was, lived on the achievements of the abnormal? Men consciously and voluntarily descended into disease and madness, in search of knowledge which, acquired by fanaticism, would lead back to health; after the possession and use of it had ceased to be conditioned by that heroic and abnormal act of sacrifice. That was the true death on the cross, the true Atonement."

 

THE TRUE DEATH ON THE CROSS THE TRUE AT ONE MENT

 

 

ATONEMENT

 

-
-
-
-
A
-
-
-
-
-
-
-
-
T
-
-
-
-
-
-
-
-
O
-
-
-
-
-
-
-
-
N
-
-
-
-
A
T
O
N
E
M
E
N
T
-
-
-
-
M
-
-
-
-
-
-
-
-
E
-
-
-
-
-
-
-
-
N
-
-
-
-
-
-
-
-
T
-
-
-
-

 

 

-
-
-
-
A
-
-
-
-
-
-
-
-
T
-
-
-
-
-
-
-
-
O
-
-
-
-
-
-
-
-
N
-
-
-
-
A
T
O
N
E
M
E
N
T
-
-
-
-
M
-
-
-
-
-
-
-
-
E
-
-
-
-
-
-
-
-
N
-
-
-
-
-
-
-
-
T
-
-
-
-

3
GOD
26
17
8
1
O
15
6
6
4
GOOD
41
23
5

 

 

-
GOOD
-
-
-
10
DO
19
10
1
4
GOOD
41
23
5
6
GOOD DO
60
33
6

2
GO
22
13
4
2
DO
19
10
1
4
GOOD
41
23
5
8
GOOD GO DO
82
46
10
-
-
8+2
4+6
1+0
8
GOOD DO GO
10
10
1
-
-
1+0
1+0
-
8
GOOD GO DO
1
1
1

 

 

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

 

 

-
-
-
-
-
-
-
-
-
-
-
-
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

 

 

 

 

 

GREETINGS CITIZENS OF PLANET EARTH

 

FIRST CONTACT

STAR TREK

A novel by J.M. Dillard based on the film

STAR TREK; FIRST CONTACT

Story by Rick Berman & Brannon Braga & Ronald D. Moore

Screenplay by Brannon Braga & Ronald D. Moore

1996

First

STAR TREK

FIRST CONTACT

Second

STAR TREK

FIRST CONTACT

This book is a work of fiction. Names, characters, places and incidents are products of the author's imagination or are used fictitiously. Any resemblance to actual events or locales or persons, living or dead, is entirely coincidental.

Third

STAR TREK

FIRST CONTACT

 

 

LIGHT AND LIFE

Lars Olof Bjorn 1976

Page 197

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

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

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

 

 

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

 

DNA AND DNA DNA AND DNA DNA AND DNA

DNA AND DNA DNA AND DNA DNA AND DNA

 

 

T
=
2
-
3
THE
33
15
6
T
=
2
-
6
TWENTY
107
26
8
S
=
1
-
3
SIX
52
16
7
L
=
3
-
7
LETTERS
99
27
9
O
=
6
-
2
OF
21
12
3
T
=
2
-
3
THE
33
15
6
A
=
1
-
8
ALPHABET
65
29
2
-
-
17
-
32
Add to Reduce
410
140
41
-
-
1+7
-
3+2
Reduce to Deduce
4+1+0
1+4+0
4+1
-
-
8
-
5
Essence of Number
5
5
5

 

 

LIGHT AND LIFE

Lars Olof Bjorn

 
1976
 

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

ONE MAY PUT DOWN ALMOST ANY MESSAGE"

(THIS BOOK IS WRITTEN WITH THE SAME LETTERS AS THE ENCYCLOPAEDIA BRITANNICA AND WINNIE THE POOH, ONLY THE ORDER OF THE LETTERS DIFFERS).

IN THE SAME WAY NATURE IS ABLE TO CONVEY WITH HER LANGUAGE HOW A CELL AND A WHOLE ORGANISM IS TO BE CONSTRUCTED AND HOW IT IS TO FUNCTION. NATURE HAS SUCCEEDED BETTER THAN WE HUMANS; FOR THE GENETIC CODE THERE IS ONLY ONE UNIVERSAL LANGUAGE WHICH IS THE SAME IN A MAN, A BEAN PLANT AND A BACTERIUM.

 
THE DNA MESSAGE IN A HUMAN CELL COMPRISES ABOUT
 

1 000 000 000 'LETTERS'."

 

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

 

DNA AND DNA DNA AND DNA DNA AND DNA

DNA AND DNA DNA AND DNA DNA AND DNA

 

 AND DNA AND DNA AND DNA  AND DNA AND DNA AND DNA  AND DNA AND DNA AND DNA

 

 

THE MAGIC MOUNTAIN

Thomas Mann 1875 - 1955

Page 660

"In the evening, on the stroke of ten, they gathered privily, and in whispers mustered the apparatus Hermine had provided, consisting of a medium-sized round table without a cloth, placed in the centre of the room, with a wine glass upside-down upon it, the foot in the air. "Round the edge of the table, at regular intervals, were placed twenty-six little bone counters, each with a letter of the alphabet written on it in pen and ink."

"ROUND THE EDGE OF THE TABLE, AT REGULAR INTERVALS, WERE PLACED TWENTY-SIX LITTLE BONE COUNTERS. EACH WITH A LETTER OF THE ALPHABET WRITTEN ON IT IN PEN AND INK."

 

THE JESUS MYSTERIES

Timothy Freke & Peter Gandy

1999

Page 177

THE GOSPELS ARE ACTUALLY ANONYMOUS WORKS, IN WHICH EVERYTHING WITHOUT EXCEPTION, IS WRITTEN IN CAPITAL LETTERS, WITH NO PUNCTUATION OR SPACES BETWEEN WORDS.

 

 

FINGERPRINTS OF THE GODS
 
G Hancock1995

Page 287

"What one would look for, therefore, would be a universal language"

 
 
 
 "WHAT ONE WOULD LOOK FOR, THEREFORE, WOULD BE A UNIVERSAL LANGUAGE"

 

WORK DAYS OF GOD

Herbert W Morris D.D.circa 1883

Page 22

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

 

 

"ALL THE WORDS IN THE ENGLISH LANGUAGE ARE COMPOSED OUT OF THE TWENTY SIX LETTERS OF THE ALPHABET"

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
-
3
ALL
25
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
W
=
2
-
5
WORDS
79
25
7
-
-
-
-
-
-
-
7
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
E
=
5
-
7
ENGLISH
74
38
2
-
-
2
-
-
-
-
-
-
-
L
=
3
-
8
LANGUAGE
68
32
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
3
ARE
24
15
6
-
-
-
-
-
-
6
-
-
-
C
=
3
-
8
COMPOSED
90
36
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
3
OUT
56
11
2
-
-
2
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
T
=
2
-
6
TWENTY
107
26
8
-
-
-
-
-
-
-
-
8
-
S
=
1
-
3
SIX
52
16
7
-
-
-
-
-
-
-
7
-
-
L
=
3
-
7
LETTERS
99
27
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
A
=
1
-
8
ALPHABET
65
29
2
-
-
2
-
-
-
-
-
-
-
-
-
60
-
79
First Total
936
360
99
-
1
6
6
4
10
30
21
8
18
-
-
6+0
-
7+9
Add to Reduce
9+3+6
3+6+0
9+9
-
-
-
-
-
1+0
3+0
2+1
-
1+8
-
-
6
-
16
Second Total
18
9
18
-
1
6
6
4
1
3
3
8
9
-
-
-
-
1+6
Reduce to Deduce
1+8
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
6
-
7
Essence of Number
9
9
9
-
1
6
6
4
1
3
3
8
9

 

 

NUMEROLOGY
Geddes and Grosset 1999.

Introduction.

Page 5

"Nunerology is the name given to an ancient method of study-ing numbers that has been in use for thousands of years."
"…The most popular form of numerology in use today is based on the work of Py-thagoras, the famous Greek mathematician and philosopher who lived during the sixth century bc."
"…It was Pythagora's belief that numbers were the first of all things in nature. It was his belief that numbers were the basis of everything, in the natural, spiritual and scientific world. He believed that everything could be reduced to mathematical terms and that everything had a numerical value. Through studying the world in numerical form, he sought to achieve greater understanding of the world he lived in. Pythagoras, who believed that numbers created order and beauty, founded a school for students to follow his philosophy, and this was known as the Italic or Pythagorean School."
Page 6 "…Pythagoras formulated the concept called the Music of the Spheres', based on the idea that all the planets in the universe formed a harmonious whole consisting of a mu-sical chorus. He discovered that there was a relationship between sound and numbers, and developed this discov-ery to form his metaphysical concept. He suggested that every planet was a certain distance from a central point in the universe and that if an invisible string connected each planet to the central point, when plucked the string would emit a certain tone or vibration. Each sound or vibration could be associated with a particular number. He also be-lieved that the sound or vibration of the universe dictated by the planets would have a strong influ-ence on the character of an individual born at that particu-lar time.
Numerologists believe that the numbers one to nine have specific characteristics , and these characteristics are the basis for the methods of analysis described in this book. The numbers one to nine are the only numbers that are / Page 7 / believed to be significant to numerology. All numbers greater than nine can be reduced to a single digit by the process of fadic addition, for example:
12 is reduced to 3 by adding 1 and 2; 49 is reduced to 4 by adding 4 and 9 which equals 13 and subsequently adding 1 and 3 to make 4."
Page 7
"All numbers greater than nine can be reduced to a single digit by the process of fadic addition, for example:
12 is reduced to 3 by adding 1 and 2;
49 is reduced to 4 by adding 4 and 9 which equals 13 and subsequently adding 1 and 3 to make 4."

 

 

THE

ENGLISH LANGUAGE

TRANSMUTED INTO NUMBER

IS

ONE OF THE MAIN CONDUITS

THROUGH WHICH APPEAR CLEARER UNDERSTANDING

OF

THOSE REFRACTED PATTERNS AND SENSIBILITIES APPARENTLY RANDOM

DESCRIBING ENERGIES WHICH INTERMINGLED WITHIN THE GREAT HERE AND NOW

ARE

CONSIDERED

THE

CREATIVE LIVING EXPERIENCE

 

 

THE LIGHT IS RISING RISING IS THE LIGHT

 

 

2
IS
28
10
1
9
UNIVERSAL
121
40
4
4
MIND
40
22
4
3
THE
33
15
6
4
MIND
40
22
4
2
OF
21
12
3
9
HUMANKIND
95
41
5
33
First Total
378
162
27
3+3
Add to Reduce
3+7+8
1+6+2
2+7
6
Second Total
18
9
9
-
Reduce to Deduce
1+8
-
-
6
Essence of Number
9
9
9

 

 

CITY OF REVELATION

John Michell 1972

"The great alchemists, whose ultimate aspiration was to procure the birth of a divinity among men found it necessary first to invoke within themselves the spirit they wished to share with others. In the same tradition Plato wrote that the man who aquires the art of stereometry, the likening of unlike things which is function of the canon, sanctifies not only himself but also the city and the age in which he lives. The thought behind these various expressions was that the state of a society is determined by the individuals who comprise it; that the cosmic influences are manifest on earth through the medium of the human mind, and this is the instrument by which they may be controlled and held in balance. For the instument to be effective, it requires that the individual become aware of the current influences to which he is subject, and to this end the canon was devised; for by analogy with the dynamics of geometrical and numerological relationships, the world of phenomena is revealed as the product of archetyple forces, whose behaviour in any circumstances is predicatable once the nature is understood."

"the art of stereometry, the likening of unlike things"

 

 

THE ART OF STEREOMETRY

THE LIKENING OF UNLIKE THINGS

 

-
-
-
-
-
STEREOMETRY
-
-
-
S
=
1
-
1
S
19
10
1
T
=
2
-
1
T
20
2
2
E
=
5
-
1
E
5
5
5
R
=
9
-
1
R
18
9
9
E
=
5
-
1
E
5
5
5
O
=
6
-
1
O
15
6
6
M
=
4
-
1
M
13
4
4
E
=
5
-
1
E
5
5
5
T
=
2
-
1
T
20
2
2
R
=
9
-
1
R
18
9
9
Y
=
7
-
1
Y
25
7
7
-
-
44
-
11
STEREOMETRY
163
64
55
-
-
4+4
-
1+1
-
1+6+3
6+4
5+5
-
-
4
-
2
STEREOMETRY
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
-
-
4
-
2
STEREOMETRY
1
1
1

 

 

THE ART OF STEREOMETRY

 

-
-
-
-
-
STEREOMETRY
-
-
-
T
=
2
-
3
THE
33
15
6
A
=
1
-
3
ART
39
12
3
O
=
6
-
2
OF
21
12
3
S
=
1
-
11
STEREOMETRY
163
55
1
-
-
10
-
19
Add to Reduce
256
94
13
-
-
1+0
-
1+9
First Total
2+5+6
9+4
1+3
-
-
1
-
10
Reduce to Deduce
13
13
4
-
-
-
-
1+0
Second Total
1+3
1+3
-
-
-
1
-
1
Essence of Number
4
4
4

 

 

THE LIKENING OF UNLIKE THINGS

 

-
-
-
-
-
STEREOMETRY
-
-
-
T
=
2
-
3
THE
33
15
6
L
=
3
-
8
LIKENING
81
45
9
O
=
6
-
2
OF
21
12
3
U
=
3
-
6
UNLIKE
72
27
9
T
=
2
-
6
THINGS
77
32
5
-
-
16
-
25
Add to Reduce
284
131
32
-
-
1+6
-
2+5
First Total
2+8+4
1+3+1
3+2
-
-
7
-
7
Reduce to Deduce
14
5
5
-
-
-
-
-
Second Total
1+4
-
-
-
-
7
-
7
Essence of Number
5
5
5

 

 

-
-
-
-
-
STEREOMETRY
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
A
=
1
-
3
ART
39
12
3
-
-
-
3
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
S
=
1
-
11
STEREOMETRY
163
55
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
L
=
3
-
8
LIKENING
81
45
9
-
-
-
-
-
-
-
-
-
9
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
U
=
3
-
6
UNLIKE
72
27
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
6
THINGS
77
32
5
-
-
-
-
-
5
-
-
-
-
-
-
26
-
44
Add to Reduce
540
225
45
-
1
2
9
4
5
12
7
8
18
-
-
2+6
-
4+4
Reduce to Deduce
5+4+0
2+2+5
4+5
-
-
-
-
-
-
1+2
-
-
1+8
-
-
8
-
8
Essence of Number
9
9
9
-
1
2
9
4
5
3
7
8
9

 

 

-
-
-
-
-
STEREOMETRY
-
-
-
-
1
3
5
6
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
6
-
A
=
1
-
3
ART
39
12
3
-
-
3
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
3
-
-
-
S
=
1
-
11
STEREOMETRY
163
55
1
-
1
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
6
-
L
=
3
-
8
LIKENING
81
45
9
-
-
-
-
-
9
O
=
6
-
2
OF
21
12
3
-
-
3
-
-
-
U
=
3
-
6
UNLIKE
72
27
9
-
-
-
-
-
9
T
=
2
-
6
THINGS
77
32
5
-
-
-
5
-
-
-
-
26
-
44
Add to Reduce
540
225
45
-
1
9
5
12
18
-
-
2+6
-
4+4
Reduce to Deduce
5+4+0
2+2+5
4+5
-
-
-
-
1+2
1+8
-
-
8
-
8
Essence of Number
9
9
9
-
1
9
5
3
9

 

 

-
-
-
-
-
STEREOMETRY
-
-
-
-
-
-
-
-
STEREO R METRY
-
-
-
R
=
9
-
3
RESTORE
100
37
1
M
=
4
-
2
ME
18
9
9
T
=
2
-
6
TRY
63
18
9
-
-
15
-
11
STEREO R METRY
181
64
19
-
-
1+5
-
1+1
-
1+8+1
6+4
1+9
-
-
6
-
2
STEREO R METRY
10
10
10
-
-
-
-
-
-
1+0
1+0
1+0
-
-
6
-
2
STEREO R METRY
1
1
1
-
-
-
-
-
STEREOMETRY
-
-
-

 

 

KEEPER OF GENESIS

A QUEST FOR THE HIDDEN LEGACY OF MANKIND

Robert Bauval Graham Hancock 1996

Page 254

"...Is there in any sense an interstellar Rosetta Stone?

We believe there is a common language that all technical civilizations, no matter how different, must have.

That common language is science and mathematics.

The laws of Nature are the same everywhere:..."

 

R
=
9
-
7
ROSETTA
98
26
8
S
=
1
-
5
STONE
73
19
1
-
-
10
-
12
Add to Reduce
171
45
9
-
-
1+0
-
1+2
Reduce to Deduce
1+7+1
4+5
-
Q
-
1
-
3
Essence of Number
9
9
9

 

 

"...Is there in any sense an interstellar Rosetta Stone?

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
5
THERE
56
29
2
-
-
2
-
-
-
-
-
-
-
I
=
9
-
2
IN
23
14
5
-
-
-
-
-
5
-
-
-
-
A
=
1
-
3
ANY
40
13
4
-
-
-
-
4
-
-
-
-
-
S
=
1
-
5
SENSE
62
17
8
-
-
-
-
-
-
-
-
8
-
A
=
1
-
2
AN
15
6
6
-
-
-
-
-
-
6
-
-
-
I
=
9
-
12
INTERSTELLAR
153
54
9
-
-
-
-
-
-
-
-
-
9
R
=
9
-
7
ROSETTA
98
26
8
-
-
-
-
-
-
-
-
8
-
S
=
1
-
5
STONE
73
19
1
-
1
-
-
-
-
-
-
-
-
-
-
42
-
43
First Total
548
188
44
-
2
2
3
4
5
6
7
16
9
-
-
4+2
-
4+3
Add to Reduce
5+4+8
1+8+8
4+4
-
-
-
-
-
-
-
-
1+6
-
-
-
6
-
7
Second Total
17
17
8
-
2
2
3
4
5
6
7
7
9
-
-
-
-
-
Reduce to Deduce
1+7
1+7
-
-
-
-
-
-
-
-
-
-
-
-
-
6
-
7
Essence of Number
8
8
8
-
2
2
3
4
5
6
7
7
9

 

 

We believe there is a common language that all technical civilizations, no matter how different, must have.

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
W
=
5
-
2
WE
28
10
1
-
1
-
-
-
-
-
-
-
-
B
=
2
-
7
BELIEVE
60
33
6
-
-
-
-
-
-
6
-
-
-
T
=
2
-
5
THERE
56
29
2
-
-
2
-
-
-
-
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
A
=
1
-
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
C
=
3
-
6
COMMON
73
28
1
-
1
-
-
-
-
-
-
-
-
L
=
3
-
8
LANGUAGE
68
32
5
-
-
-
-
-
5
-
-
-
-
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
-
-
-
A
=
1
-
3
ALL
25
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
-
9
TECHNICAL
75
39
3
-
-
-
3
-
-
-
-
-
-
C
=
3
-
13
CIVILIZATIONS
168
69
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
2
NO
29
11
2
-
-
2
-
-
-
-
-
-
-
M
=
4
-
6
MATTER
77
23
5
-
-
-
-
-
5
-
-
-
-
H
=
8
-
3
HOW
46
19
1
-
1
-
-
-
-
-
-
-
-
D
=
4
-
9
DIFFERENT
87
51
6
-
-
-
-
-
-
6
-
-
-
M
=
4
-
4
MUST
73
10
1
-
1
-
-
-
-
-
-
-
-
H
=
8
-
4
HAVE
36
18
9
-
-
-
-
-
-
-
-
-
9
-
-
66
-
88
First Total
979
403
61
-
6
4
3
4
10
18
7
8
9
-
-
6+6
-
8+8
Add to Reduce
9+7+9
4+0+3
6+1
-
-
-
-
-
1+0
1+8
-
-
-
-
-
12
-
16
Second Total
25
7
7
-
6
4
3
4
1
9
7
8
9
-
-
1+2
-
1+6
Reduce to Deduce
2+5
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
7
Essence of Number
7
7
7
-
6
4
3
4
1
9
7
8
9

 

 

That common language is science and mathematics.

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
4
THAT
49
13
4
-
-
-
-
4
-
-
-
-
-
C
=
3
-
6
COMMON
73
28
1
-
1
-
-
-
-
-
-
-
-
L
=
3
-
8
LANGUAGE
68
32
5
-
-
-
-
-
5
-
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
S
=
1
-
7
SCIENCE
58
31
4
-
-
-
-
4
-
-
-
-
-
A
=
1
-
3
AND
19
10
1
-
1
-
-
-
-
-
-
-
-
M
=
4
-
11
MATHEMATICS
112
40
4
-
-
-
-
4
-
-
-
-
-
-
-
23
-
41
First Total
407
164
20
-
3
4
3
12
5
6
7
8
9
-
-
2+3
-
4+1
Add to Reduce
4+0+7
1+6+4
6+1
-
-
-
-
1+2
-
-
-
-
-
-
-
5
-
5
Second Total
11
11
7
-
3
4
3
3
5
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+1
1+1
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
5
Essence of Number
2
2
7
-
3
4
3
3
5
6
7
8
9

 

 

The laws of Nature are the same everywhere:..."

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
L
=
3
-
4
LAWS
55
10
1
-
1
-
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
N
=
5
-
6
NATURE
79
25
7
-
-
-
-
-
-
-
7
-
-
A
=
1
-
3
ARE
23
15
6
-
-
-
-
-
-
6
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
S
=
1
-
4
SAME
38
11
2
-
-
2
-
-
-
-
-
-
-
E
=
5
-
10
EVERYWHERE
134
62
8
-
-
-
-
-
-
-
-
8
-
-
-
25
-
35
First Total
417
165
39
-
1
2
3
4
5
18
7
8
9
-
-
2+5
-
3+5
Add to Reduce
4+0+7
1+6+5
3+9
-
-
-
-
-
-
1+8
-
-
-
-
-
7
-
-
Second Total
12
12
12
-
1
2
3
4
5
9
7
8
9
-
-
-
-
-
Reduce to Deduce
1+2
1+2
1+2
-
-
-
-
-
-
-
-
-
-
-
-
7
-
-
Essence of Number
3
3
3
-
1
2
3
4
5
9
7
8
9

 

 

The Upside Down of the Downside Up

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
W
=
5
-
7
WEAVING
81
36
9
-
-
-
-
-
-
-
-
-
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
T
=
2
-
6
THREAD
56
29
2
-
-
2
-
-
-
-
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
-
3
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
G
=
7
-
6
GOLDEN
57
30
3
-
-
-
3
-
-
-
-
-
-
W
=
5
-
3
WEB
30
12
3
-
-
-
3
-
-
-
-
-
-
-
-
29
-
30
First Total
239
149
32
-
1
2
9
4
5
12
7
8
9
-
-
2+9
-
3+0
Add to Reduce
2+3+9
1+4+9
3+2
-
-
-
-
-
-
1+2
-
-
-
-
-
11
-
3
Second Total
14
14
5
-
1
2
9
4
5
3
7
8
9
-
-
1+1
-
-
Reduce to Deduce
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
3
Essence of Number
5
5
5
-
1
2
9
4
5
3
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
W
=
5
-
7
WEAVING
81
36
9
-
1
-
-
4
5
-
7
8
9
T
=
2
-
3
THE
33
15
6
-
1
-
-
4
5
6
7
8
-
T
=
2
-
6
THREAD
56
29
2
-
1
2
-
4
5
-
7
8
-
O
=
6
-
2
OF
21
12
3
-
1
-
3
4
5
-
7
8
-
T
=
2
-
3
THE
33
15
6
-
1
-
-
4
5
6
7
8
-
G
=
7
-
6
GOLDEN
57
30
3
-
1
-
3
4
5
-
7
8
-
W
=
5
-
3
WEB
30
12
3
-
1
-
3
4
5
-
7
8
-
-
-
29
-
30
First Total
239
149
32
-
1
2
9
4
5
12
7
8
9
-
-
2+9
-
3+0
Add to Reduce
2+3+9
1+4+9
3+2
-
-
-
-
-
-
1+2
-
-
-
-
-
11
-
3
Second Total
14
14
5
-
1
2
9
4
5
3
7
8
9
-
-
1+1
-
-
Reduce to Deduce
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
3
Essence of Number
5
5
5
-
1
2
9
4
5
3
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
T
=
2
-
6
THREAD
56
29
2
-
1
2
-
4
5
-
7
8
-
O
=
6
-
2
OF
21
12
3
-
1
-
3
4
5
-
7
8
-
G
=
7
-
6
GOLDEN
57
30
3
-
1
-
3
4
5
-
7
8
-
W
=
5
-
3
WEB
30
12
3
-
1
-
3
4
5
-
7
8
-
T
=
2
-
3
THE
33
15
6
-
1
-
-
4
5
6
7
8
-
T
=
2
-
3
THE
33
15
6
-
1
-
-
4
5
6
7
8
-
W
=
5
-
7
WEAVING
81
36
9
-
1
-
-
4
5
-
7
8
9
-
-
29
-
30
First Total
239
149
32
-
1
2
9
4
5
12
7
8
9
-
-
2+9
-
3+0
Add to Reduce
2+3+9
1+4+9
3+2
-
-
-
-
-
-
1+2
-
-
-
-
-
11
-
3
Second Total
14
14
5
-
1
2
9
4
5
3
7
8
9
-
-
1+1
-
-
Reduce to Deduce
1+4
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
2
-
3
Essence of Number
5
5
5
-
1
2
9
4
5
3
7
8
9

 

NUMBERS RE-ARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
-
-
-
-
-
2
3
6
9
T
=
2
-
6
THREAD
56
29
2
-
2
-
-
-
O
=
6
-
2
OF
21
12
3
-
-
3
-
-
G
=
7
-
6
GOLDEN
57
30
3
-
-
3
-
-
W
=
5
-
3
WEB
30
12
3
-
-
3
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
6
-
T
=
2
-
3
THE
33
15
6
-
-
-
6
-
W
=
5
-
7
WEAVING
81
36
9
-
-
-
-
9
-
-
29
-
30
First Total
239
149
32
-
2
9
12
9
-
-
2+9
-
3+0
Add to Reduce
2+3+9
1+4+9
3+2
-
-
-
1+2
-
-
-
11
-
3
Second Total
14
14
5
-
2
9
3
9
-
-
1+1
-
-
Reduce to Deduce
1+4
1+4
-
-
-
-
-
-
-
-
2
-
3
Essence of Number
5
5
5
-
2
9
3
9

 

 

4
WORD
60
24
6
5
SWORD
79
25
7

 

 

5
SWEAR
66
21
3
2
OR
33
15
6
3
DIE
18
18
9
10
-
117
54
18
1+8
-
1+1+7
5+4
1+8
9
-
9
9
9

 

 

8
GODS LOVE
99
36
9
7
THOUGHT
99
36
9
13
DIVINE THOUGHT
162
72
9
17
LOVE DIVINE THOUGHT
216
90
9

 

 

4
GODS
45
18
9
8
CREATORS
99
36
9

 

 

4
REAL
36
18
9
7
REALITY
90
36
9
13
DIVINE+THOUGHT
162
72
9
10
MIND+MATTER
117
45
9
10
DIVINE+LOVE
117
54
9
9
DARK+LIGHT
90
45
9
10
GODDESS+GOD
99
54
9
8
CREATORS
99
36
9
14
I AM THAT+THAT AM I
144
54
9
-
-
-
-
-
-
-
-
-
-
8
 NAMES OF GOD
99
45
9

 

LOVEEVOLVEEVOLVELOVELOVEEVOLVEEVOLVELOVELOVEEVOLVEEVOLVELOVE

 

Daily Mail. Tuesday. March 31, 2015

Page 68

The point of pentangles

ANSWERS TO CORRESPONDENTS

QUESTION
Which culture first used the pentangle and how did it become associated with the occult?

THE pentangle is usually represented as the pentagram, a five-pointed, linear star within a circle, worn or drawn with the point facing up.

It served to mark directions in Sumerian texts, dating from about 30BC, and is found in most early cultures. The ancient Greeks established its symbolic status.

Greek mathematician and philosopher Pythagoras believed five was the number of perfection, because of the fivefold division of the body (head, arms and legs outstretched) mirroring the division of the soul into fire, water, air, earth and psyche. The Pythagoreans held the pentacle sacred to Hygeia, the goddess of healing.

Early Christians wore the pentagram to represent the five wounds of Christ and to symbolise thefive senses.

In the 14th-century English poem Sir Gawain And The Green Knight, the symbol decorates the shield of the hero, Gawain. The anonymous poet credits the symbol's origin to King Solomon, and explains that each of the five interconnected points represents a virtue tied to a group of five: Gawain is keen in his five senses, dextrous in his five fingers, faithful to the salvation provided through the Five Wounds of Christ, takes courage from the five joys that Mary had of Jesus and exemplifies the five virtues of knighthood.

Renaissance-era ritual magicians, Henry Cornelius Agrippa von Nettesheim (14861535) and Giordano Bruno (1548-1600), used the pentagram to represent the perfection of the human body. To Bruno, five was the `number of the soul' because the human form is bound by five outer points. He warned magicians and sorcerers could perform spells by using the pentagram as it was a window to the soul.

As Bruno and other Renaissance philosophers and magicians were executed under the Inquisition, perhaps the symbol came to be associated with evil forces.

By the mid-19th century, a further distinction had developed among occultists regarding the pentagram's orientation. With a single point upwards it depicted a spirit presiding over the four elements of matter and was essentially 'good'.

Occultists and satanists now claimed that the inverted pentagram was evil, the sign of the Devil even. Influential French occultist Eliphas Levi (1810-75) stated: 'A reversed pentagram, with two points projecting upwards, is a symbol of evil and attracts sinister forces because it overturns the proper order of things and demonstrates the triumph of matter over spirit. 'It is the goat of lust attacking the heavens with its horns, a sign execrated by initiates.'

Symbolic: Anton LaVey, of the Church of Satan, with an inverted pentangle (image omitted)

Brian Cummings, Hay-on-Wye, Powys.

 

 

www.endlesssearch.co.uk › philo_lawof7
Law of Seven - Heptaparaparshinokh - The Endless Search

Law of Seven - Heptaparaparshinokh. monochord_fludd_2.jpg (19091 bytes). The first of these fundamental primordial sacred cosmic laws, namely the law of ...

 

gurdjieff.org.gr › terms
Heptaparaparshinokh

“In general, those independent individuals are called and defined by the word ... result of the fundamental cosmic law of the holy Heptaparaparshinokh, that is, ...

 

www.gurdjieff-internet.com › article_print
A Lawful Voyage Through Time and Space and the ...

It would be very interesting to investigate what these names mean in relation to ... characteristics of the Law of Heptaparaparshinokh or Law of Sevenfoldness.

 

HEPTAPARAPARSHINOKH

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
Q
13
HEPTAPARAPARSHINOKH
149
50
5
Q
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
H
=
7
1
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
2
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
P
=
7
3
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
4
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
A
=
1
5
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
P
=
7
6
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
A
=
1
7
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
R
=
9
8
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
P
=
7
10
1
P
16
7
7
-
-
-
-
-
-
-
7
-
-
A
=
1
11
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
13
3
S
19
10
1
-
1
-
-
-
-
-
-
-
-
H
=
7
14
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
I
=
9
15
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
16
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
O
=
6
17
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
K
=
2
18
1
K
11
2
2
-
-
2
-
-
-
-
-
-
-
H
=
7
19
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
79
Q
19
HEPTAPARAPARSHINOKH
205
106
97
Q
5
4
3
4
10
6
21
24
27
-
-
7+9
-
1+9
-
2+0+5
1+0+6
9+7
-
-
-
-
-
1+0
-
2+1
2+4
2+7
-
-
16
-
10
HEPTAPARAPARSHINOKH
7
7
16
-
5
4
3
4
1
6
3
6
9
-
-
1+6
-
1+0
-
-
-
1+6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
1
HEPTAPARAPARSHINOKH
7
7
7
-
5
4
3
4
1
6
3
6
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
Q
13
HEPTAPARAPARSHINOKH
149
50
5
Q
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
H
=
7
1
1
H
8
8
8
-
-
-
3
4
-
-
-
8
-
E
=
5
2
1
E
5
5
5
-
-
-
3
4
5
-
-
-
-
P
=
7
3
1
P
16
7
7
-
-
-
3
4
-
-
7
-
-
T
=
2
4
1
T
20
2
2
-
-
2
3
4
-
-
-
-
-
A
=
1
5
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
P
=
7
6
1
P
16
7
7
-
-
-
3
4
-
-
7
-
-
A
=
1
7
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
R
=
9
8
1
R
18
9
9
-
-
-
3
4
-
-
-
-
9
A
=
1
9
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
P
=
7
10
1
P
16
7
7
-
-
-
3
4
-
-
7
-
-
A
=
1
11
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
R
=
9
12
1
R
18
9
9
-
-
-
3
4
-
-
-
-
9
S
=
1
13
3
S
19
10
1
-
1
-
3
4
-
-
-
-
-
H
=
7
14
1
H
8
8
8
-
-
-
3
4
-
-
-
8
-
I
=
9
15
1
I
9
9
9
-
-
-
3
4
-
-
-
-
9
N
=
5
16
1
N
14
5
5
-
-
-
3
4
5
-
-
-
-
O
=
6
17
1
O
15
6
6
-
-
-
3
4
-
6
-
-
-
K
=
2
18
1
K
11
2
2
-
-
2
3
4
-
-
-
-
-
H
=
7
19
1
H
8
8
8
-
-
-
3
4
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
79
Q
19
HEPTAPARAPARSHINOKH
205
106
97
Q
5
4
3
4
10
6
21
24
27
-
-
7+9
-
1+9
-
2+0+5
1+0+6
9+7
-
-
-
-
-
1+0
-
2+1
2+4
2+7
-
-
16
-
10
HEPTAPARAPARSHINOKH
7
7
16
-
5
4
3
4
1
6
3
6
9
-
-
1+6
-
1+0
-
-
-
1+6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
1
HEPTAPARAPARSHINOKH
7
7
7
-
5
4
3
4
1
6
3
6
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
E
=
5
Q
13
HEPTAPARAPARSHINOKH
149
50
5
Q
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
A
=
1
5
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
A
=
1
7
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
A
=
1
9
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
A
=
1
11
1
A
1
1
1
-
1
-
3
4
-
-
-
-
-
S
=
1
13
3
S
19
10
1
-
1
-
3
4
-
-
-
-
-
T
=
2
4
1
T
20
2
2
-
-
2
3
4
-
-
-
-
-
K
=
2
18
1
K
11
2
2
-
-
2
3
4
-
-
-
-
-
E
=
5
2
1
E
5
5
5
-
-
-
3
4
5
-
-
-
-
N
=
5
16
1
N
14
5
5
-
-
-
3
4
5
-
-
-
-
O
=
6
17
1
O
15
6
6
-
-
-
3
4
-
6
-
-
-
P
=
7
3
1
P
16
7
7
-
-
-
3
4
-
-
7
-
-
P
=
7
6
1
P
16
7
7
-
-
-
3
4
-
-
7
-
-
P
=
7
10
1
P
16
7
7
-
-
-
3
4
-
-
7
-
-
H
=
7
1
1
H
8
8
8
-
-
-
3
4
-
-
-
8
-
H
=
7
14
1
H
8
8
8
-
-
-
3
4
-
-
-
8
-
H
=
7
19
1
H
8
8
8
-
-
-
3
4
-
-
-
8
-
R
=
9
8
1
R
18
9
9
-
-
-
3
4
-
-
-
-
9
R
=
9
12
1
R
18
9
9
-
-
-
3
4
-
-
-
-
9
I
=
9
15
1
I
9
9
9
-
-
-
3
4
-
-
-
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
79
Q
19
HEPTAPARAPARSHINOKH
205
106
97
Q
5
4
3
4
10
6
21
24
27
-
-
7+9
-
1+9
-
2+0+5
1+0+6
9+7
-
-
-
-
-
1+0
-
2+1
2+4
2+7
-
-
16
-
10
HEPTAPARAPARSHINOKH
7
7
16
-
5
4
3
4
1
6
3
6
9
-
-
1+6
-
1+0
-
-
-
1+6
-
-
-
-
-
-
-
-
-
-
-
-
7
-
1
HEPTAPARAPARSHINOKH
7
7
7
-
5
4
3
4
1
6
3
6
9

 

NUMBERS RE-ARRANGED IN NUMERICAL ORDER

 

 

gurdjieff.org.gr › terms
Heptaparaparshinokh

“In general, those independent individuals are called and defined by the word ... result of the fundamental cosmic law of the holy Heptaparaparshinokh, that is, ...

 

 

-
HEBDOMAD
--
-
-
5
H+E+B+D+O
34
25
7
3
M+A+D
18
9
9
8
HEBDOMAD
52
34
16
-
-
5+2
3+4
1+6
8
HEBDOMAD
7
7
7

 

 

-
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
-
8
-
-
-
15
-
-
-
+
=
23
2+3
=
5
=
5
=
5
-
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
-
-
5
2
4
-
4
1
4
+
=
29
2+9
=
11
1+1
2
=
2
-
-
-
5
2
4
-
13
1
4
+
=
20
2+0
=
2
=
2
=
2
-
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
-
8
5
2
4
15
13
1
4
+
+
52
5+2
=
7
=
7
=
7
-
-
8
5
2
4
6
4
1
4
+
+
34
3+4
=
7
=
7
=
7
-
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
-
2
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
3
-
-
-
-
-
-
-
-
-
-
-
3
THREE
-
-
-
-
-
-
-
-
-
-
-
4
-
4
-
4
-
-
4
occurs
x
3
=
12
1+2
3
-
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
7
-
-
-
-
-
-
-
-
-
-
-
7
SEVEN
-
-
-
-
-
-
-``
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
9
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
19
8
H
E
B
D
O
M
A
D
-
-
26
-
-
8
-
34
-
25
1+9
-
-
-
-
-
-
-
-
-
-
-
2+6
-
-
-
-
3+4
-
2+5
10
8
H
E
B
D
O
M
A
D
-
-
8
-
-
8
-
7
-
7
1+0
-
8
5
2
4
6
4
1
4
-
-
-
-
-
-
-
-
-
-
1
8
H
E
B
D
O
M
A
D
-
-
8
-
-
8
-
7
-
7

 

 

8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
8
-
-
-
6
-
-
-
+
=
14
1+4
=
5
=
5
=
5
-
8
-
-
-
15
-
-
-
+
=
23
2+3
=
5
=
5
=
5
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
-
5
2
4
-
4
1
4
+
=
29
2+9
=
11
1+1
2
=
2
-
-
5
2
4
-
13
1
4
+
=
20
2+0
=
2
=
2
=
2
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
8
5
2
4
15
13
1
4
+
+
52
5+2
=
7
=
7
=
7
-
8
5
2
4
6
4
1
4
+
+
34
3+4
=
7
=
7
=
7
8
H
E
B
D
O
M
A
D
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
1
occurs
x
1
=
1
=
1
-
-
-
2
-
-
-
-
-
-
-
2
occurs
x
1
=
2
=
2
-
-
-
-
4
-
4
-
4
-
-
4
occurs
x
3
=
12
1+2
3
-
-
5
-
-
-
-
-
-
-
-
5
occurs
x
1
=
5
=
5
-
-
-
-
-
6
-
-
-
-
-
6
occurs
x
1
=
6
=
6
-
8
-
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
=
8
-
-
-
-
-
-
-
-
-
-
-
9
-
-
-
-
-
-
-
8
H
E
B
D
O
M
A
D
-
-
26
-
-
8
-
34
-
25
-
-
-
-
-
-
-
-
-
-
-
2+6
-
-
-
-
3+4
-
2+5
8
H
E
B
D
O
M
A
D
-
-
8
-
-
8
-
7
-
7
-
8
5
2
4
6
4
1
4
-
-
-
-
-
-
-
-
-
-
8
H
E
B
D
O
M
A
D
-
-
8
-
-
8
-
7
-
7

 

HEBDOMAD = 52 = HEBDOMAD

HEBDOMAD = 34 = HEBDOMAD

HEBDOMAD = 7 = HEBDOMAD

 

THE

SO EVEN SEVEN IS

EVENS SEVEN

SEVEN EVENS

 

 

Hebdomad
From Wikipedia, the free encyclopedia
Hebdomad (Ancient Greek: ἑβδομάς) may refer to:

On Hebdomads, a work of the Hippocratic Corpus
Hebdomad, a term used by Neoplatonist philosophers such as Iamblichus and Proclus in reference to the intellect
The Hebdomad, the seven world-creating archons in most Gnostic systems: see Archon (Gnosticism)#Hebdomad
On Hebdomads (De hebdomadibus), a work of the Neoplatonist Boethius commented upon by Thomas Aquinas, in which the hebdomads are common mental conceptions or axioms
The Celestial Hebdomad, the archons who make up the ruling council of Mount Celestia in Dungeons & Dragons

 

 

Hebdomad - definition of hebdomad by The Free Dictionary
www.thefreedictionary.com/hebdomad

[Latin hebdomas, hebdomad-, the number seven, from Greek, from hebdomos, seventh, from hepta, seven; see septm̥ in Indo-European roots.] American ...

 

 

hebdomad - Wiktionary

https://en.wiktionary.org/wiki/hebdomad

Noun[edit]. hebdomad (plural hebdomads). A group of seven. A period of seven days, a week. (Gnosticism) A group of seven superhuman beings.

 

 

-
HEBDOMAD
-
-
-
5
HEBDO
34
25
7
3
MAD
18
9
9
8
HEBDOMAD
52
34
16
-
-
5+2
3+4
1+6
8
HEBDOMAD
7
7
7

 

 

1
HEBDOMAD
-
-
-
2
H
8
8
8
2
E+B
7
7
7
2
D+O
19
10
1
2
M+A+D
18
9
9
8
HEBDOMAD
52
34
25
-
-
5+2
3+4
2+5
8
HEBDOMAD
7
7
7

 

hebdomad - Wiktionary

https://en.wiktionary.org/wiki/hebdomad

Noun[edit]. hebdomad (plural hebdomads). A group of seven. A period of seven days, a week. (Gnosticism) A group of seven superhuman beings.

 

8
HEBDOMAD
52
34
16
-
-
-
-
-
-
-
-
-
-
-
HEBDOMAD
-
-
-
5
HEBDO
34
25
7
3
MAD
18
9
9
8
HEBDOMAD
52
34
16
-
-
5+2
3+4
1+6
8
-
7
7
7
-
-
-
-
-
-
-
-
-
-
5
EARTH
52
25
7
5
HEART
52
25
7
5
THERA
52
25
7
5
TERAH
52
25
7

 

 

O
=
6
-
7
OPENING
80
44
8
T
=
2
-
3
THE
33
15
6
S
=
1
-
7
SEVENTH
93
30
3
S
=
1
-
4
SEAL
37
10
1
-
-
10
-
21
First Total
243
99
18
-
-
1+0
-
2+1
Add to Reduce
2+4+3
9+9
1+8
-
-
1
-
3
Second Total
9
18
9
-
-
-
-
-
Reduce to Deduce
-
1+8
-
-
-
1
5
3
Essence of Number
9
9
9

 

 

From Wikipedia, the free encyclopedia

Hafnium is a chemical element with the symbol Hf and atomic number 72. A lustrous, silvery gray, tetravalent transition metal, hafnium chemically resembles zirconium and is found in many zirconium minerals. Its existence was predicted by Dmitri Mendeleev in 1869, though it was not identified until 1923, by Coster and Hevesy, making it the last stable element to be discovered. Hafnium is named after Hafnia, the Latin name for Copenhagen, where it was discovered.[4][5]

Hafnium is used in filaments and electrodes. Some semiconductor fabrication processes use its oxide for integrated circuits at 45 nm and smaller feature lengths. Some superalloys used for special applications contain hafnium in combination with niobium, titanium, or tungsten.

Hafnium's large neutron capture cross section makes it a good material for neutron absorption in control rods in nuclear power plants, but at the same time requires that it be removed from the neutron-transparent corrosion-resistant zirconium alloys used in nuclear reactors.

 

Hafnium is a chemical element with the symbol Hf and atomic number 72.

 

-
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
-
8
-
-
5
9
-
-
+
=
22
2+2
=
4
=
4
-
-
8
-
-
14
9
-
-
+
=
31
3+1
=
4
=
4
-
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
1
6
-
-
3
4
+
=
14
1+4
=
5
=
5
-
-
-
1
6
-
-
21
13
+
=
41
4+1
=
5
=
5
-
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
-
8
1
6
14
9
21
13
+
=
72
7+2
=
9
=
9
-
-
8
1
6
5
9
3
4
+
=
36
3+6
=
9
=
9
-
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
2
-
-
-
-
-
-
-
-
-
-
2
TWO
-
-
-
-
-
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
-
-
5
-
-
-
-
-
5
occurs
x
1
=
5
-
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
7
-
-
-
-
-
-
-
-
-
-
7
SEVEN
-
-
-
-
-
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
9
7
H
A
F
N
I
U
M
-
-
36
-
-
7
-
36
-
-
-
-
-
-
9
-
-
-
-
1+8
-
-
-
-
3+6
9
7
H
A
F
N
I
U
M
-
-
9
-
-
7
-
9
-
-
8
1
6
5
9
3
4
-
-
-
-
-
-
-
-
9
7
H
A
F
N
I
U
M
-
-
9
-
-
7
-
9

 

 

7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
8
-
-
5
9
-
-
+
=
22
2+2
=
4
=
4
-
8
-
-
14
9
-
-
+
=
31
3+1
=
4
=
4
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
-
1
6
-
-
3
4
+
=
14
1+4
=
5
=
5
-
-
1
6
-
-
21
13
+
=
41
4+1
=
5
=
5
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
8
1
6
14
9
21
13
+
=
72
7+2
=
9
=
9
-
8
1
6
5
9
3
4
+
=
36
3+6
=
9
=
9
7
H
A
F
N
I
U
M
-
-
-
-
-
-
-
-
-
-
1
-
-
-
-
-
-
-
1
occurs
x
1
=
1
-
-
-
-
-
-
3
-
-
-
3
occurs
x
1
=
3
-
-
-
-
-
-
-
4
-
-
4
occurs
x
1
=
4
-
-
-
-
5
-
-
-
-
-
5
occurs
x
1
=
5
-
-
-
6
-
-
-
-
-
-
6
occurs
x
1
=
6
-
8
-
-
-
-
-
-
-
-
8
occurs
x
1
=
8
-
-
-
-
-
9
-
-
-
-
9
occurs
x
1
=
9
7
H
A
F
N
I
U
M
-
-
36
-
-
7
-
36
-
-
-
-
-
9
-
-
-
-
1+8
-
-
-
-
3+6
7
H
A
F
N
I
U
M
-
-
9
-
-
7
-
9
-
8
1
6
5
9
3
4
-
-
-
-
-
-
-
-
7
H
A
F
N
I
U
M
-
-
9
-
-
7
-
9

 

Hafnium is a chemical element with the symbol Hf and atomic number 72.

HAFNIUM = 72 = HAFNIUM

HAFNIUM = 36 = HAFNIUM

HAFNIUM = 9 = HAFNIUM

Hafnium is a chemical element with the symbol Hf and atomic number 72.

 

 

T
=
2
-
3
THE
33
15
6
O
=
6
-
7
ORDINAL
73
37
1
N
=
5
-
7
NUMBERS
92
38
2
-
-
13
-
17
First Total
198
90
9
-
-
1+3
-
1+7
Add to Reduce
1+9+8
9+0
-
-
-
4
-
8
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
4
-
8
Essence of Number
9
9
9

 

 
-
-
17
THE ORDINAL NUMBERS
165
75
3
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
O
=
6
-
7
ORDINAL
73
37
1
-
-
-
-
-
-
-
-
-
-
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
13
-
17
THE ORDINAL NUMBERS
198
90
9
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
-
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
-
8
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
15
-
-
-
33
15
15
-
-
-
-
-
-
-
-
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
-
-
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
-
-
-
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
N
=
5
8
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
-
-
-
L
=
3
10
1
L
12
3
3
-
-
-
3
-
-
-
-
-
-
37
-
-
-
73
37
37
-
-
-
-
-
-
-
-
-
-
N
=
5
11
1
N
14
5
5
-
-
-
-
-
5
-
-
-
-
U
=
3
12
1
U
21
3
3
-
-
-
3
-
-
-
-
-
-
M
=
4
13
1
M
13
4
4
-
-
-
-
4
-
-
-
-
-
B
=
2
14
1
B
2
2
2
-
-
2
-
-
-
-
-
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
-
-
-
R
=
9
16
1
R
18
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
17
1
S
19
10
1
-
1
-
-
-
-
-
-
-
-
29
-
-
-
92
38
29
-
-
-
-
-
-
-
-
-
-
-
-
-
-
THE ORDINAL NUMBERS
-
-
-
-
2
4
6
8
20
6
7
8
27
-
-
-
-
3
THE
33
15
6
-
-
-
-
-
2+0
-
-
-
2+7
-
-
81
-
7
ORDINAL
73
37
1
-
2
4
6
8
2
6
7
8
9
-
-
8+1
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
THE ORDINAL NUMBERS
198
90
9
-
2
4
6
8
2
6
7
8
9
-
-
-
-
1+7
-
1+9+8
9+0
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
THE ORDINAL NUMBERS
18
9
9
-
2
4
6
8
2
6
7
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
THE ORDINAL NUMBERS
9
9
9
-
2
4
6
8
2
6
7
8
9

 

 
-
-
17
THE ORDINAL NUMBERS
165
75
3
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
O
=
6
-
7
ORDINAL
73
37
1
-
-
-
-
-
-
-
-
-
-
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
13
-
17
THE ORDINAL NUMBERS
198
90
9
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
7
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
7
8
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
7
-
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
7
-
-
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
7
-
9
N
=
5
8
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
7
-
-
L
=
3
10
1
L
12
3
3
-
-
-
3
-
-
-
7
-
-
N
=
5
11
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
U
=
3
12
1
U
21
3
3
-
-
-
3
-
-
-
7
-
-
M
=
4
13
1
M
13
4
4
-
-
-
-
4
-
-
7
-
-
B
=
2
14
1
B
2
2
2
-
-
2
-
-
-
-
7
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
R
=
9
16
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
S
=
1
17
1
S
19
10
1
-
1
-
-
-
-
-
7
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
THE ORDINAL NUMBERS
-
-
-
-
2
4
6
8
20
6
7
8
27
-
-
-
-
3
THE
33
15
6
-
-
-
-
-
2+0
-
-
-
2+7
-
-
81
-
7
ORDINAL
73
37
1
-
2
4
6
8
2
6
7
8
9
-
-
8+1
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
THE ORDINAL NUMBERS
198
90
9
-
2
4
6
8
2
6
7
8
9
-
-
-
-
1+7
-
1+9+8
9+0
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
THE ORDINAL NUMBERS
18
9
9
-
2
4
6
8
2
6
7
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
THE ORDINAL NUMBERS
9
9
9
-
2
4
6
8
2
6
7
8
9

 

 
-
-
17
THE ORDINAL NUMBERS
165
75
3
-
1
2
3
4
5
6
7
8
9
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
-
-
-
-
O
=
6
-
7
ORDINAL
73
37
1
-
-
-
-
-
-
-
-
-
-
N
=
5
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
13
-
17
THE ORDINAL NUMBERS
198
90
9
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
A
=
1
9
1
A
1
1
1
-
1
-
-
-
-
-
7
-
-
S
=
1
17
1
S
19
10
1
-
1
-
-
-
-
-
7
-
-
T
=
2
1
1
T
20
2
2
-
-
2
-
-
-
-
7
-
-
B
=
2
14
1
B
2
2
2
-
-
2
-
-
-
-
7
-
-
L
=
3
10
1
L
12
3
3
-
-
-
3
-
-
-
7
-
-
U
=
3
12
1
U
21
3
3
-
-
-
3
-
-
-
7
-
-
D
=
4
6
1
D
4
4
4
-
-
-
-
4
-
-
7
-
-
M
=
4
13
1
M
13
4
4
-
-
-
-
4
-
-
7
-
-
E
=
5
3
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
N
=
5
8
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
N
=
5
11
1
N
14
5
5
-
-
-
-
-
5
-
7
-
-
E
=
5
15
1
E
5
5
5
-
-
-
-
-
5
-
7
-
-
O
=
6
4
1
O
15
6
6
-
-
-
-
-
-
6
7
-
-
H
=
8
2
1
H
8
8
8
-
-
-
-
-
-
-
7
8
-
R
=
9
5
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
I
=
9
7
1
I
9
9
9
-
-
-
-
-
-
-
7
-
9
R
=
9
16
1
R
18
9
9
-
-
-
-
-
-
-
7
-
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
THE ORDINAL NUMBERS
-
-
-
-
2
4
6
8
20
6
7
8
27
-
-
-
-
3
THE
33
15
6
-
-
-
-
-
2+0
-
-
-
2+7
-
-
81
-
7
ORDINAL
73
37
1
-
2
4
6
8
2
6
7
8
9
-
-
8+1
-
7
NUMBERS
92
38
2
-
-
-
-
-
-
-
-
-
-
-
-
9
-
17
THE ORDINAL NUMBERS
198
90
9
-
2
4
6
8
2
6
7
8
9
-
-
-
-
1+7
-
1+9+8
9+0
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
THE ORDINAL NUMBERS
18
9
9
-
2
4
6
8
2
6
7
8
9
-
-
-
-
-
-
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
8
THE ORDINAL NUMBERS
9
9
9
-
2
4
6
8
2
6
7
8
9

 

 

T
=
2
-
3
THE
33
15
6
O
=
6
-
7
ORDINAL
73
37
1
N
=
5
-
7
NUMBERS
92
38
2
-
-
13
-
17
First Total
198
90
9
-
-
1+3
-
1+7
Add to Reduce
1+9+8
9+0
-
-
-
4
-
8
Second Total
18
9
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
4
-
8
Essence of Number
9
9
9

 

 

NUMBERS RE-ARRANGED IN NUMERICAL ORDER

 

-
-
-
-
-
-
-
-
-
-
-
-
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

 

-
-
-
-
-
-
-
-
-
-
-
-
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

 

-
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

 

 

19
F
I
L
I
U
S
-
P
H
I
L
O
S
O
P
H
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
9
-
9
-
1
-
-
8
9
-
6
1
6
-
8
6
-
-
-
+
=
63
6+3
-
9
-
9
-
9
-
-
9
-
9
-
19
-
-
8
9
-
15
19
15
-
8
15
-
-
-
+
=
126
1+2+6
  
9
-
9
-
9
19
F
I
L
I
U
S
-
P
H
I
L
O
S
O
P
H
O
R
U
M
-
-
-
-
-
-
-
-
-
-
`-
6
-
12
-
21
-
-
16
-
-
12
-
-
-
16
-
-
18
21
13
+
=
135
1+3+5
=
9
1+8
9
-
9
-
6
-
3
-
3
-
-
7
-
-
3
-
-
-
7
-
-
9
3
4
+
=
45
4+5
=
9
-
9
-
9
19
F
I
L
I
U
S
-
P
H
I
L
O
S
O
P
H
O
R
U
M
-
-
-
-
-
-
-
-
-
-
`-
6
9
12
9
21
1
1
16
8
9
12
15
19
15
17
8
15
18
21
13
+
=
198
1+9+8
=
18
1+8
9
-
9
-
6
9
3
9
1
-
-
7
8
9
3
6
1
6
8
8
6
9
3
4
+
=
90
9+0
=
9
-
9
-
9
19
F
I
L
I
U
S
-
P
H
I
L
O
S
O
P
H
O
R
U
M
-
-
-
-
-
-
-
-
-
-
-
-
-
-
1
1
1
-
-
1
1
-
-
1
-
-
-
1
-
1
1
-
-
1
occurs
x
2
=
2
=
2
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
2
TWO
2
-
-
-
-
-
-
-
-
3
-
3
-
-
-
4
4
3
-
-
-
-
-
4
-
3
-
-
-
3
occurs
x
4
=
12
1+2
3
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
-
4
-
-
4
occurs
x
1
=
4
=
4
-
-
-
5
-
-
-
-
-
-
-
5
-
-
-
-
5
-
5
-
-
-
-
5
FIVE
5
-
-
-
-
-
-
6
-
-
-
4
-
-
-
4
4
-
6
-
6
-
-
6
-
-
-
-
-
6
occurs
x
4
=
24
2+4
6
-
-
-
-
-
4
-
-
7
4
4
-
-
-
-
7
-
4
-
-
-
-
-
7
occurs
x
2
=
14
1+4
5
-
-
-
-
4
4
-
-
-
8
4
-
-
-
-
-
8
4
-
-
-
-
-
8
occurs
x
2
=
16
1+6
7
-
9
9
9
9
-
-
-
9
-
9
9
-
-
-
9
-
-
9
-
-
-
-
9
occurs
x
4
=
36
3+6
9
19
F
I
L
I
U
S
-
P
H
I
L
O
S
O
P
H
O
R
U
M
-
-
38
-
-
19
-
108
-
36
-
-
9
-
9
-
-
-
-
9
-
-
-
-
-
-
-
9
-
-
-
-
3+8
-
-
1+9
-
1+0+8
-
3+6
19
F
I
L
I
U
S
-
P
H
I
L
O
S
O
P
H
O
R
U
M
-
-
11
-
-
10
-
9
-
9

 

 

7
TALITHA CUMI
-
-
-
-
TALITHA
71
26
8
4
CUMI
46
19
1
11
TALITHA CUMI
117
45
9
1+1
-
1+1+7
4+5
-
2
TALITHA CUMI
9
9
9

 

 

 

 

ALL FOR ONE ONE FOR ALL

 

T
=
2
-
3
THE
33
15
6
G
=
7
-
3
GOD
26
17
8
S
=
1
-
4
STAR
58
13
4
-
-
10
-
10
Add to Reduce
117
45
18
-
-
-
-
1+0
Reduce to Deduce
1+1+7
4+5
1+8
-
-
1
-
1
Essence of Number
9
9
9

 

 

T
=
2
-
3
THE
33
15
6
S
=
1
-
4
STAR
58
13
4
G
=
7
-
3
GOD
26
17
8
-
-
10
-
10
Add to Reduce
117
45
18
-
-
-
-
1+0
Reduce to Deduce
1+1+7
4+5
1+8
-
-
1
-
1
Essence of Number
9
9
9

 

 

HOW OFTEN HAVE I SAID TO YOU

THAT

"WHEN YOU HAVE ELIMINATED THE IMPOSSIBLE WHAT REMAINS, HOWEVER IMPROBABLE, MUST BE THE TRUTH."

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
H
=
8
1
3
HOW
46
19
1
-
1
-
-
-
-
-
-
-
-
O
=
6
2
5
OFTEN
60
24
6
-
-
-
-
-
-
6
-
-
-
H
=
8
3
4
HAVE
36
18
9
-
-
-
-
-
-
-
-
-
9
I
=
9
4
1
I
9
9
9
-
-
-
-
-
-
-
-
-
9
S
=
1
5
4
SAID
33
15
6
-
-
-
-
-
-
6
-
-
-
T
=
2
6
2
TO
35
8
8
-
-
-
-
-
-
-
-
8
-
Y
=
7
7
3
YOU
61
16
7
-
-
-
-
-
-
-
7
-
-
-
-
41
-
22
-
280
109
46
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
T
=
2
8
4
THAT
49
13
4
-
-
-
-
4
-
-
-
-
-
W
=
5
9
4
WHEN
50
23
5
-
-
-
-
-
5
-
-
-
-
Y
=
7
10
3
YOU
61
16
7
-
-
-
-
-
-
-
7
-
-
H
=
8
11
4
HAVE
36
18
9
-
-
-
-
-
-
-
-
-
9
E
=
5
12
10
ELIMINATED
92
47
2
-
-
2
-
-
-
-
-
-
-
T
=
2
13
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
I
=
9
14
10
IMPOSSIBLE
119
47
2
-
-
2
-
-
-
-
-
-
-
W
=
5
15
4
WHAT
52
16
7
-
-
-
-
-
-
-
7
-
-
R
=
9
16
7
REMAINS
79
34
7
-
-
-
-
-
-
-
7
-
-
H
=
8
17
7
HOWEVER
96
42
6
-
-
-
-
-
-
6
-
-
-
I
=
9
18
10
IMPROBABLE
93
48
3
-
-
-
3
-
-
-
-
-
-
M
=
4
19
4
MUST
73
10
1
-
1
-
-
-
-
-
-
-
-
B
=
2
20
2
BE
7
7
7
-
-
-
-
-
-
-
7
-
-
T
=
2
21
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
T
=
2
22
5
TRUTH
87
24
6
-
-
-
-
-
-
6
-
-
-
79
-
80
-
960
375
78
-
2
4
3
4
5
36
35
8
27
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
3+6
3+5
-
2+7
-
-
-
-
-
-
-
2
4
3
4
5
9
8
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
120
-
102
First Total
1240
484
124
-
2
4
3
4
5
9
8
8
9
1+2+0
-
1+0+2
Add to Reduce
1+2+4+0
4+8+4
1+2+4
-
-
-
-
-
-
-
-
-
-
-
-
3
-
3
Second Total
7
16
7
-
2
4
3
4
5
9
8
8
9
-
-
-
-
-
Reduce to Deduce
-
1+6
-
-
-
-
-
-
-
-
-
-
-
-
-
3
-
3
Essence of Number
7
7
7
-
2
4
3
4
5
9
8
8
9

 

 

GOD

Alexander Waugh 2002

Page 162

Einstein's blunder. - When Einstein tried to refute quantum physics with his now famous dictum 'God does not play dice' He revealed his ignorance of scripture, for God does indeed play dice in the form of a game called urim and thummim. These flat stone dice are mentioned many times in the Hebrew Bible. Although urim and thummim actually belonged to God (Ps.-Philo 47:2) they were jealously guarded by the high priest either in his ephod (an oracular pouch) or in a pocket by his chest. The exact manner in which urim and thummim was played has been lost to the mysteries of time, but it is thought they provided the same function as a coin when it is flipped for heads or tails. When Saul wished to establish a question of blame he set up the urim and thummim asking: '"Lord God of Israel, if fault lies-with me or my son Jonathan give urim: if the fault lies with your people Israel, give thummim." Jonathan and Saul were indicated and the people went free. Saul then said: "Cast the lot between me and Jonathan," and Jonathan was indicated' (1 Sam. 14:41-2).
After a while it dawned on the people of Israel that urim and thummim did not always give reliable results (Ps.-Philo 47:2) and so God ceased to be addressed through this medium, probably as early as the seventh century BCE. The whole matter might well have been forgotten had it not been for God lending his urim and thummim nearly two thousand years later to Joseph Smith in order to help the prophet interpret the 'revised Egyptian' squiggles of the Book of Mormon. Smith had to return them to the angel, Moroni, and regrettably failed to make accurate drawings before handing them back. However, in a /Page 163 / bewildering twist, God later informed Smith (2 April 1843) that he (God) was now living inside a giant urim and thummim.
The place where I reside [said God] is a great Urim and Thummim. This earth in its sanctified and immortal state, will be made like unto crystal and will be a Urim and Thummim to the inhabitants who dwell thereon, whereby all things pertaining to an inferior kingdom, or all kingdoms of a lower order, will be manifest to those who dwell on it; and this earth will be Christ's. Then the white stone mentioned in Revelation 2:17, will become a Urim and Thummim to each- individual who receives one, whereby things pertaining to a higher order of kingdoms will be made known. (Doctrine and Covenants, 130:8-10)

 

And Einstein thought that the cosmological constant was his 'biggest blunder'!

 

-
COSMOLOGICAL CONSTANT
-
-
-
-
C+O+S+M+O+L+O+G
99
36
9
-
I
9
9
9
-
C+A+L
16
7
7
-
C+O
18
9
9
-
N+S+T+A
54
9
9
-
N+T
34
7
7
20
COSMOLOGICAL CONSTANT
230
77
50
2+0
-
2+3+0
7+7
5+0
2
-
5
14
5
-
-
-
1+4
-
2
COSMOLOGICAL CONSTANT
5
5
5

 

COSMOLOGICAL CONSTANT

 

C
=
3
-
12
COSMOLOGICAL
124
61
7
C
=
3
-
8
CONSTANT
106
34
7
-
-
6
-
20
First Total
230
95
14
-
-
-
-
2+0
Add to Reduce
2+3
9+5
1+4
-
-
6
-
2
Second Total
5
14
5
-
-
-
-
-
Reduce to Deduce
-
1+4
-
-
-
6
-
2
Essence of Number
5
5
5

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
C
=
3
-
12
COSMOLOGICAL
124
61
7
-
-
-
-
-
-
-
-
-
-
C
=
3
-
8
CONSTANT
106
34
7
-
-
-
-
-
-
-
-
-
-
-
-
6
-
20
First Total
230
95
14
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
C
=
3
1
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
S
=
1
3
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
L
=
3
6
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
C
=
3
10
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
A
=
1
11
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
-
-
52
-
12
-
124
61
52
-
-
-
-
-
-
-
-
-
-
C
=
3
13
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
14
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
T
=
2
17
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
A
=
1
18
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
25
-
8
-
106
34
25
-
4
4
15
4
10
24
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
1+5
-
1+0
2+4
-
-
-
-
-
77
-
12
COSMOLOGICAL
124
61
7
-
4
4
6
4
1
6
7
8
9
7+7
-
8
CONSTANT
106
34
7
-
-
-
-
-
-
-
-
-
-
-
-
14
-
20
First Total
230
95
14
-
4
4
6
4
1
6
7
8
9
-
-
1+4
-
2+0
Add to Reduce
2+3
9+5
1+4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
2
Second Total
5
14
5
-
4
4
6
4
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
2
Essence of Number
5
5
5
-
4
4
6
4
1
6
7
8
9

 

COSMOLOGICAL CONSTANT

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
C
=
3
-
12
COSMOLOGICAL
124
61
7
-
-
-
-
-
-
-
-
-
-
C
=
3
-
8
CONSTANT
106
34
7
-
-
-
-
-
-
-
-
-
-
-
-
6
-
20
First Total
230
95
14
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
C
=
3
1
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
S
=
1
3
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
L
=
3
6
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
C
=
3
10
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
A
=
1
11
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
C
=
3
13
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
O
=
6
14
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
T
=
2
17
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
A
=
1
18
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
77
-
12
COSMOLOGICAL
124
61
7
-
4
4
15
4
10
24
7
8
9
7+7
-
8
CONSTANT
106
34
7
-
-
-
1+5
-
1+0
2+4
-
-
-
-
-
14
-
20
First Total
230
95
14
-
4
4
6
4
1
6
7
8
9
-
-
1+4
-
2+0
Add to Reduce
2+3
9+5
1+4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
2
Second Total
5
14
5
-
4
4
6
4
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
2
Essence of Number
5
5
5
-
4
4
6
4
1
6
7
8
9

 

COSMOLOGICAL CONSTANT

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
C
=
3
-
12
COSMOLOGICAL
124
61
7
-
-
-
-
-
-
-
-
-
-
C
=
3
-
8
CONSTANT
106
34
7
-
-
-
-
-
-
-
-
-
-
-
-
6
-
20
First Total
230
95
14
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
3
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
A
=
1
11
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
S
=
1
16
1
S
19
10
1
-
1
-
-
-
-
-
-
8
-
A
=
1
18
1
A
1
1
1
-
1
-
-
-
-
-
-
8
-
T
=
2
17
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
T
=
2
20
1
T
20
2
2
-
-
2
-
-
-
-
-
8
-
C
=
3
1
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
6
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
C
=
3
10
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
L
=
3
12
1
L
12
3
3
-
-
-
3
-
-
-
-
8
-
C
=
3
13
1
C
3
3
3
-
-
-
3
-
-
-
-
8
-
M
=
4
4
1
M
13
4
4
-
-
-
-
4
-
-
-
8
-
N
=
5
15
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
N
=
5
19
1
N
14
5
5
-
-
-
-
-
5
-
-
8
-
O
=
6
2
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
5
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
O
=
6
14
1
O
15
6
6
-
-
-
-
-
-
6
-
8
-
G
=
7
8
1
G
7
7
7
-
-
-
-
-
-
-
7
8
-
I
=
9
9
1
I
9
9
9
-
-
-
-
-
-
-
-
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
77
-
12
COSMOLOGICAL
124
61
7
-
4
4
15
4
10
24
7
8
9
7+7
-
8
CONSTANT
106
34
7
-
-
-
1+5
-
1+0
2+4
-
-
-
-
-
14
-
20
First Total
230
95
14
-
4
4
6
4
1
6
7
8
9
-
-
1+4
-
2+0
Add to Reduce
2+3
9+5
1+4
-
-
-
-
-
-
-
-
-
-
-
-
5
-
2
Second Total
5
14
5
-
4
4
6
4
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
-
1+4
-
-
-
-
-
-
-
-
-
-
-
-
-
5
-
2
Essence of Number
5
5
5
-
4
4
6
4
1
6
7
8
9

 

NUMBERS RE-ARRANGED IN NUMERICAL ORDER

 

C
=
3
-
12
COSMOLOGICAL
124
61
7
C
=
3
-
8
CONSTANT
106
34
7
-
-
6
-
20
First Total
230
95
14
-
-
-
-
2+0
Add to Reduce
2+3
9+5
1+4
-
-
6
-
2
Second Total
5
14
5
-
-
-
-
-
Reduce to Deduce
-
1+4
-
-
-
6
-
2
Essence of Number
5
5
5

 

 

i/Cosmological_constant

Einstein included the cosmological constant as a term in his field equations for general relativity because he was dissatisfied that otherwise his equations did not allow, apparently, for a static universe: gravity would cause a universe that was initially at dynamic equilibrium to contract.
In cosmology, the cosmological constant (usually denoted by the Greek capital letter lambda: ?) is the value of the energy density of the vacuum of space. It was originally introduce

en.wikipedia.org/wik
d by Albert Einstein in 1917 as an addition to his theory of general relativity to "hold back gravity" and achieve a static universe, which was the accepted view at the time. Einstein abandoned the concept as his "greatest blunder" after Hubble's 1929 discovery that all galaxies outside our own Local Group are moving away from each other, implying an overall expanding universe. From 1929 until the early 1990s, most cosmology researchers assumed the cosmological constant to be zero.
Since the 1990s, several developments in observational cosmology, especially the discovery of the accelerating universe from distant supernovae in 1998, and also independent evidence from the cosmic microwave background and large galaxy redshift surveys, have shown that the mass-energy density of the universe includes around 70% in dark energy. While dark energy is poorly understood at a fundamental level, the main required properties of dark energy are that it dilutes much more slowly than matter as the universe expands, and that it clusters much more weakly than matter, or perhaps not at all. The cosmological constant is the simplest possible form of dark energy since it is constant in both space and time, and this leads to the current standard model of cosmology known as the Lambda-CDM model, which provides a good fit to many cosmological observations as of 2014.

DARK ENERGY
DARK 34-16-7
ENERGY 74-38-2
DARK ENERGY 108-54-9

DARK ENERGY 4192 555977 ENERGY DARK
DARK ENERGY 108 54 9 ENERGY DARK

 

 

-
-
-
-
12
FIRST CONTACT
-
-
-
F
=
6
-
5
FIRST
72
36
9
C
=
3
-
8
CONACT
76
22
4
-
-
9
-
12
FIRST CONTACT
148
58
13
-
-
-
-
1+3
-
1+4+8
5+8
1+3
-
-
9
-
3
FIRST CONTACT
13
13
4
-
-
-
-
-
-
1+3
1+3
-
-
-
9
-
3
FIRST CONTACT
4
4
4
-
-
-
-
-
-
-
-
-
-
-
9
-
3
THIRTEEN
99
45
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
5
FIRST
72
36
9
-
-
-
-
-
-
-
-
-
-
C
=
3
-
8
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
1
1
F
6
6
6
-
-
-
-
4
-
6
7
8
-
I
=
9
2
1
I
9
9
9
-
-
-
-
4
-
-
7
8
9
R
=
9
3
1
R
18
9
9
-
-
-
-
4
-
-
7
8
9
S
=
1
4
1
S
19
10
1
-
1
-
-
4
-
-
7
8
-
T
=
2
5
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
-
-
27
-
5
-
72
36
27
-
-
-
-
-
-
-
-
-
-
C
=
3
6
1
C
3
3
3
-
-
-
3
4
-
-
7
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
4
-
6
7
8
-
N
=
5
8
1
N
14
5
5
-
-
-
-
4
5
-
7
8
-
T
=
2
9
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
A
=
1
10
1
A
1
1
1
-
1
-
-
4
-
-
7
8
-
C
=
3
11
1
C
3
3
3
-
-
-
3
4
-
-
7
8
-
T
=
2
12
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
22
-
7
-
76
22
22
-
2
6
6
4
5
12
7
8
18
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
1+2
-
-
1+8
F
=
6
-
5
FIRST
72
36
9
-
2
6
6
4
5
3
7
8
9
C
=
3
-
7
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
2
6
6
4
5
3
7
8
9
-
-
-
-
1+3
-
1+4+8
5+8
1+3
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
13
13
4
-
2
6
6
4
5
3
7
8
9
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
4
4
4
-
2
6
6
4
5
3
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
5
FIRST
72
36
9
-
-
-
-
-
-
-
-
-
-
C
=
3
-
8
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
1
1
F
6
6
6
-
-
-
-
4
-
6
7
8
-
I
=
9
2
1
I
9
9
9
-
-
-
-
4
-
-
7
8
9
R
=
9
3
1
R
18
9
9
-
-
-
-
4
-
-
7
8
9
S
=
1
4
1
S
19
10
1
-
1
-
-
4
-
-
7
8
-
T
=
2
5
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
C
=
3
6
1
C
3
3
3
-
-
-
3
4
-
-
7
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
4
-
6
7
8
-
N
=
5
8
1
N
14
5
5
-
-
-
-
4
5
-
7
8
-
T
=
2
9
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
A
=
1
10
1
A
1
1
1
-
1
-
-
4
-
-
7
8
-
C
=
3
11
1
C
3
3
3
-
-
-
3
4
-
-
7
8
-
T
=
2
12
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
-
-
-
-
-
-
-
-
2
6
6
4
5
12
7
8
18
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
1+2
-
-
1+8
F
=
6
-
5
FIRST
72
36
9
-
2
6
6
4
5
3
7
8
9
C
=
3
-
7
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
2
6
6
4
5
3
7
8
9
-
-
-
-
1+3
-
1+4+8
5+8
1+3
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
13
13
4
-
2
6
6
4
5
3
7
8
9
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
4
4
4
-
2
6
6
4
5
3
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
-
-
-
-
F
=
6
-
5
FIRST
72
36
9
-
-
-
-
-
-
-
-
-
-
C
=
3
-
8
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
1
2
3
4
5
6
7
8
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
-
4
-
-
7
8
-
A
=
1
10
1
A
1
1
1
-
1
-
-
4
-
-
7
8
-
T
=
2
5
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
T
=
2
9
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
T
=
2
12
1
T
20
2
2
-
-
2
-
4
-
-
7
8
-
C
=
3
6
1
C
3
3
3
-
-
-
3
4
-
-
7
8
-
C
=
3
11
1
C
3
3
3
-
-
-
3
4
-
-
7
8
-
N
=
5
8
1
N
14
5
5
-
-
-
-
4
5
-
7
8
-
F
=
6
1
1
F
6
6
6
-
-
-
-
4
-
6
7
8
-
O
=
6
7
1
O
15
6
6
-
-
-
-
4
-
6
7
8
-
I
=
9
2
1
I
9
9
9
-
-
-
-
4
-
-
7
8
9
R
=
9
3
1
R
18
9
9
-
-
-
-
4
-
-
7
8
9
-
-
-
-
-
-
-
-
2
6
6
4
5
12
7
8
18
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
1+2
-
-
1+8
F
=
6
-
5
FIRST
72
36
9
-
2
6
6
4
5
3
7
8
9
C
=
3
-
7
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
2
6
6
4
5
3
7
8
9
-
-
-
-
1+3
-
1+4+8
5+8
1+3
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
13
13
4
-
2
6
6
4
5
3
7
8
9
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
4
4
4
-
2
6
6
4
5
3
7
8
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
5
6
9
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
-
-
F
=
6
-
5
FIRST
72
36
9
-
-
-
-
-
-
-
C
=
3
-
8
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
1
2
3
5
6
9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
S
=
1
4
1
S
19
10
1
-
1
-
-
-
-
-
A
=
1
10
1
A
1
1
1
-
1
-
-
-
-
-
T
=
2
5
1
T
20
2
2
-
-
2
-
-
-
-
T
=
2
9
1
T
20
2
2
-
-
2
-
-
-
-
T
=
2
12
1
T
20
2
2
-
-
2
-
-
-
-
C
=
3
6
1
C
3
3
3
-
-
-
3
-
-
-
C
=
3
11
1
C
3
3
3
-
-
-
3
-
-
-
N
=
5
8
1
N
14
5
5
-
-
-
-
5
-
-
F
=
6
1
1
F
6
6
6
-
-
-
-
-
6
-
O
=
6
7
1
O
15
6
6
-
-
-
-
-
6
-
I
=
9
2
1
I
9
9
9
-
-
-
-
-
-
9
R
=
9
3
1
R
18
9
9
-
-
-
-
-
-
9
-
-
-
-
-
-
-
-
2
6
6
5
12
18
-
-
-
-
12
FIRST CONTACT
-
-
-
-
-
-
-
-
1+2
1+8
F
=
6
-
5
FIRST
72
36
9
-
2
6
6
5
3
9
C
=
3
-
7
CONTACT
76
22
4
-
-
-
-
-
-
-
-
-
9
-
12
FIRST CONTACT
148
58
13
-
2
6
6
5
3
9
-
-
-
-
1+3
-
1+4+8
5+8
1+3
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
13
13
4
-
2
6
6
5
3
9
-
-
-
-
-
-
1+3
1+3
-
-
-
-
-
-
-
-
-
-
9
-
3
FIRST CONTACT
4
4
4
-
2
6
6
5
3
9

 

 

-
-
-
-
12
FIRST CONTACT
-
-
-
F
=
6
-
5
FIRST
72
36
9
C
=
3
-
8
CONACT
76
22
4
-
-
9
-
12
FIRST CONTACT
148
58
13
-
-
-
-
1+3
-
1+4+8
5+8
1+3
-
-
9
-
3
FIRST CONTACT
13
13
4
-
-
-
-
-
-
1+3
1+3
-
-
-
9
-
3
FIRST CONTACT
4
4
4
-
-
-
-
-
-
-
-
-
-
-
9
-
3
THIRTEEN
99
45
9

 

 

-
-
-
-
-
-
-
-
-
-
1
2
3
4
5
6
7
8
9
M
=
4
-
4
MINE
41
23
5
-
-
-
-
-
5
-
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
T
=
2
-
3
THE
33
15
6
-
-
-
-
-
-
6
-
-
-
N
=
5
-
4
NINE
42
24
6
-
-
-
-
-
-
6
-
-
-
I
=
9
-
2
IS
28
10
1
-
1
-
-
-
-
-
-
-
-
M
=
4
-
4
MINE
41
23
5
-
-
-
-
-
5
-
-
-
-
-
-
40
-
26
First Total
288
144
36
-
2
2
3
4
10
24
7
8
9
-
-
4+0
-
2+6
Add to Reduce
2+8+8
1+4+4
3+6
-
-
-
-
-
1+0
2+4
-
-
-
-
-
4
-
8
Second Total
18
9
9
-
2
2
3
4
1
6
7
8
9
-
-
-
-
-
Reduce to Deduce
1+8
-
-
-
-
-
-
-
-
-
-
-
-
-
-
4
-
8
Essence of Number
9
9
9
-
6
2
3
4
1
6
7
8
9

 

 

 

Daily Mail. Friday. January 31, 2020

Page 68

ANSWERS TO CORRESPONDENTS

QUESTION Does the universe have a shape?

GENERAL relativity predicts that space is a physical, dynamic thing. It can bend because matter and energy can curve the paths of objects moving within it. It can ripple with gravitational waves and expand, creating more space. These phenomena are described by the idea of curvature of space or spacetime.
If space has no curvature, there is exactly enough mass to cause the expansion to stop, but only after an infinite amount of time. Thus, the universe will expand for ever, but with the rate of expansion gradually approaching zero after an infinite amount of time. This is a flat or Euclidian universe.
If space contains enough matter (gravity) to re-collapse the universe, it is described as closed. Think of it as a sphere or giant potato — though a four-dimensional one.
If space has negative curvature, there is insufficient mass to cause the expansion of the universe to stop. In this case, the universe has no bounds and will expand for ever. This is called an open universe and is saddle-shaped.
Cosmologists attempt to decide the
type of universe we have by measuring the inside of triangles. They look at the early universe and study the spatial relationship between different points on that picture. If the projected triangle is flat, the angles add up to 180 degrees; if positive, they are greater than 180; if negative, less than 180.
Another method is to measure the density of matter throughout the universe. Incredibly, evidence suggests the universe is flat, which is the least probable option. It equates to an average five hydrogen atoms per cubic metre of space. Why this 'perfect' level has been reached is not known.
Dr Ken Warren, Glasgow.

"It equates to an average five hydrogen atoms per cubic metre of space. Why this 'perfect' level has been reached is not known".

 

 

 
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