Concentric Circles.
T.L. Subash Chandira Bose, Gary A. David, and Jack Andrews.
Introduction: All over the world the symbol of concentric
circles, the one above the other with a common center were found. These circles
were also found with vertical and horizontal lines getting intersecting at the
center of the circles.
We would like to
convey our sincere thanks to all our friends for their interest shown towards
all our articles, especially on symbols and also for the encouragement shown to
take-up the research and study on concentric circles. We are trying to unfold
the mystery with the maximum possible evidences.
Observations: The three concentric circles were observed in holy
temple. At Stonehenge the stones were laid in one, three, five and seven
circles. The most commonly found at Stonehenge is with only one circle of
stones. These concentric circles were also found on the rock surface (rock
art).
The
Common Questions: What is the
common phenomenon between concentric circles found at Stonehenge and in Sacred
temples? Why the number of circuits selected 1, 3, 5 and 7? How many circles are in the concentric
circles as a maximum? Where did the knowledge come from? Is it an ancient geometry, if so what is
that? Are these concentric circles related to spirituality? What was the
information our ancestors left to us to understand?
Study:
The circles are the part of
geometry, to draw a circle there must be a radius or diameter with linear
measurement. The circles can be drawn with any arbitrary dimensions but it will
not form uniform circles one above the other. There must be a specific method
in selection of dimension of radius or diameter to form the uniform circles one
above the other. What is the specific method to select the dimensions of radius
or diameter? Let us refer to the ancient system of linear measurement.
Ancient
system of measurement: In India there are many ancient manuscripts
related ancient geometry dating back to 3000-2000
B.C. Among those manuscripts
here we are referring to the System of Measurement, Mayamata- Chapter-6
translated by Bruno Dagens.
5.1 All habitations are defined by their
dimensions. I am going to present as well, methodically though in few words,
the system of measurements.
5.2 The Manangula is known to be a multiple of
an atom, defined as that which can be perceived by the vision of those who have
mastered their senses.
5.3-6a Eight atoms are equal to a speck of
dust, in multiplying each eight time by eight, we go from a speck of dust to
the tip of a hair, then to a nit, to a louse and finally to a grain of barley.
Eight barley grains make a digit (angula), which is called matra. Twelve digits
makes a span (vitrasi) twice which is
cubit (hasta), called by the learned,
as well, kisku; twenty five digits make a prajapatya, twenty six a dhanurmusti and twenty
seven a dhanurgraha
5.6a-11a For
vehicle and seats the cubit (is used), for buildings the dhanurmusti and for
the villages and so on the dhanurgraha; the ordinary cubit however may serve
for any building; it is called ratni, aratni, bhuja, bahu and kara. Four cubits
makes a pole, also called yasti; eight poles (danda) makes a rope (rajju),
villages are to be measured in poles asare pattana, (towns), nigama, kheta,
palaces
.
etc.; but houses are to be in cubits. The sage should employ the span for
vehicle and seat, the digit for small (objects) and the barley grain for very
small ones. Such is the system of measurements.
5.11b-12 The
matrangula is equal to the middle phalanx of the middle finger of the
officiating priest; it is (to be used for measurements relating to) sacrifices
etc.; that which has just been
mentioned is also called digit taken from the body (dehalabdhangula).
5.13a Knowing
all this the architect must measure rigorously.
5.3-6a
Eight atoms are equal to a speck
of dust, in multiplying each eight time by eight, we go from a speck of dust to
the tip of a hair, then to a nit, to a louse and finally to a grain of barley.
Eight barley grains make a digit (angula), which is called matra.
We have tabulated above for the convenient
and comparison purposes.
Atom (Paramanu) |
Spec of Dust |
Tip of Hair |
Nit |
Louse |
Barely |
Angula |
8 |
1 |
|
|
|
|
|
64 |
8 |
1 |
|
|
|
|
512 |
64 |
8 |
1 |
|
|
|
4096 |
512 |
64 |
8 |
1 |
|
|
32768 |
4096 |
512 |
64 |
8 |
1 |
|
262144 |
32768 |
4096 |
512 |
64 |
8 |
1 |
One angula is
equal to 8 x 8 x 8 x 8 x 8 x 8 (Atom, Speck of
dust, tip of hair, nit, louse and grain of barley) 2,62,144 atoms (one atom -
0.000003814 angula in length). Dear researchers and
scholars kindly note the number eight plays a big role in the ancient system of
measurements.
Let us draw a
square with the measurement of a side as One Atom, and also apply the so called
(!!!!!!) Pythagorean theorem The
Square of the hypotenuse is equal to the sum of the squares of the other two sides of a right-angled triangle.
The lowest
0.000003814 angula (the size of atom) as a measurement of a side, a square is
drawn. The area of the sides is added and the square root of the product is the
hypotenuse. Then the size of hypotenuse, taken as the measurement for
the sides in the next square. By continuing 66 times, we shall arrive at the
square with a side of one angula. With the same principle, from 1 angula to
262,144 angula can be arrived in 36 times. We shall find every alternative
number with the size (side of the square) of
1, 2,4, 8,16,32, 64, 128, 256, 512, 1024
and 262,144.
S.No. |
Side |
Diagonal |
Area |
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. 27. 28. 29. 30. 31. 32. 33. 34. 35. 36. 37. |
1 1.414213562 2 2.828427125 4 5.656854249 8 11.3137085 16 22.627417 32 45.254834 64 90.50.50966799 128 181.019336 256 362.038672 512 724.0773439 1024 1448.154688 2048 2896.309376 4096 5792.618751 8192 11585.2375 16384 23170.47501 32768 46340.95001 65536 92681.90002 131072 185363.8 262144 |
1.414213562 2 2.828427125 4 5.656854249 8 11.3137085 16 22.627417 32 45.254834 64 90.50.50966799 128 181.019336 256 362.038672 512 724.0773439 1024 1448.15468 2048 2896.309376 4096 5792.61875 8192 11585.2375 16384 23170.47501 32768 46340.95001 65536 92681.90002 131072 185363.8 262144 370727.6001 |
1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 131072 262144 524288 1048576 2097152 4194304 8388608 16777216 33554432 67108864 134217728 268435456 536870912 1073741824 2147483648 4294967296 8589934592 17179869000 34359238000 68719476000 |
Leaving the
first dimension one (1) we shall observe from 1 to 32 (ten times 10), 32 to 512
(eight times 8) and 512 to 262144 (eighteen times 18). In total 36 times. (36
times!) 36 square and if the squares changed to circles there are 36 circles
one above the other.
Let us unfold
the secret and sacred code by referring to the Holy Bible, Old Testament and
the Book of Ezekiel- Vision of temple. The size of the womb chamber of the most
Holy of Holies is 20 long cubits long and 20 long cubits wide. The wall
thickness of the womb chamber is six long cubits, so the total area 32x32 =
1024 square long cubits. We must note the final and largest diagram (in
Mayamata, Chapter- 7 diagrams) is the square divided in to 1024 equal squares,
which is Indrakanta. The secret of the ten stages (Ten) from I to 32 indirectly is shown in the size of
Holy of Holies.
Let us further
double its area: 1024, 2048, 4096, 8192,16384, 32768, 65536, 131072 and 262144
square long cubits. In the eighth stage (Eight) of doubling the area we find 262144, which is
the area of a square having sides of 512 long cubits long and 512 long cubits
wide (512 x 512 = 262144). The size of the outer court of Ezekiels temple is 500 long cubits
long and 500 long cubits wide, having a wall thickness of 6 long cubits. Which
means the size of the outer court including the wall thickness shall be 512 long cubits long and 512 long cubits wide. Is
it a coincidence or reality? We shall discuss in the conclusion chapter.
Surprise is the beginning of
understanding the Mystery
Are we in a right path in our study and
research on concentric circles? Is there any evidence in the form of symbols or
ancient pictures with 36 circles found in our mother earth? It is natural to
the human beings to ask for such evidences; it appears our ancestors were also
aware of this and left the evidence in Central Australia for our ready
reference.
A ceremonial
wooden plaque found at central Australia now kept in the National Museum of
Victoria. Thanks to Erich Von Daniken- Path way to Heaven.
Naturally the human curiosity
mounts once we begin to understand mystery. As a result, the mind begins to
think and look for the ancient symbolic evidence to prove the principle of
doubling the area or related to Pythagorean theorem The Square of the
hypotenuse is equal to the sum of the squares of the other two sides of a right-angled triangle
Yes, it is there and that is the Master Key found in Tamil Nadu,
India.
The
Master Key symbol
An ancient
geometrical diagram (master key) was found by the author, T.L.Subash Chandira
Bose on the floor of a cave temple in Tamil Nadu. India. According to Srirangam
Sridaran-The Registration officer, the department of Archeology-Government of
Tamil Nadu. The construction of this Cave temple is of Mutharaiyar style temple
architecture and it was built during
(600-700 A.D.) the period of Pallava Kings.
The vertical
lines at the extreme right side are the sides of a square. In which the damura
(one of the Symbols in Lord Sivas hands) is marked in the middle and triangles with
circles are marked at the ends. The diagonal of the square is the line in 45
degree with two arrow marks. The side of the square (horizontally) further
extended with two arrow marks followed by a vertical line up the center of
diagram (Key). The total horizontal length of the line measured nearly 39.5
inches. (N.B. The diagram (Key) at left side is slightly oblong in shape).
The
Key symbols found in Tamil Nadu, India.
The vertical line (the side of the square)
is measured to be 7 inches and let us apply the Pythagorean
theorem.
7² + 7² |
49 + 49 |
98 |
√
98 |
9.899494937. |
9.899494937² + 9.899494937² |
98 + 98 |
196 |
√
196 |
14
|
14² +14² |
196+196 |
392 |
√
392 |
19.79898987 |
19.79898987² + 19.79898987² |
392+ 392 |
764 |
√
784 |
28 |
28² + 28² |
784+784 |
1568 |
√1568 |
39.59797975 |
The
39.59797975 inches, which is very close
to 39.5 inches as measured by the author.
Is
there any such symbol or geometrical diagram found any where in the world?
Please advise.
Ancient
Geometry: Ancient
Geometry in India dated back to an unknown period, but based on ancient scripts
we can assume it may be around 3000-2000 B.C. Regarding the approximate period
Shree Satya Prakash Sarasvati wrote in his book Geometry in Ancient India.
The
Vedic Samhitas are followed by Brahmanas and the Aranyakas. As we have said
elsewhere that if we accept 3000 B.C. as a convenient date for the Rig Vedic
culture, the Aitareya Brahmana will have to be assigned a date 2500-2000 B.C.;
The Satapatha Brahmana 1500 B.C., the Taittiriya samhita 1600 B.C. and this
period is then followed by the period of the Srautra Sutras.
Pythagorean
theorem: The Square of the
hypotenuse is equal to the sum of the squares of the
other two sides of a right-angled triangle. (Pythagoras born around
580 B.C.)
If the side of the square is 1,
The diagonal =Φ 1x1 +1x1
=1.414213562
Savisesa, Bodhayanya
(Bsl.1.61-62)
Increase
the measures by its third part and this third by its own fourth less the
thirty- fourth;(the name of this increased measure) is savisesa
We get the following expression = 1 + 1/3 + 1/(3x4) 1/(3x4x34)
=
1 + .3333333 +0.0833333 0.00245098
= 1.4166666 0.00245098
=
1.41421562
The difference is =1.41421562
- 1.414213562 =0.000002058
It should be emphasized that the Geometry did not
developed in this country (India) on the lines of Euclid; Bodhayana discovered
his theorem independently prior to Pythagoras in context of the fire alters.
The Yajnasatas were the open-air observatories and laboratories of our ancients
and in their contexts the developed geometry, mensuration, astronomy, and
structural geometry including bricks of different sizes. In context the
Satapatha Brahmana and Taitiriya Samhita discovered rational rectangles and
property of circles. Geometry in Ancient India Page-12: Shree Satya Prakash Sarasvati.
Doubling the area
of Square and circle: We would like reproducing the ancient ritual ceremony of
marking the cardinal and ordinal directions and doubling the area of a square
and the formation of three concentric circles. For more details please refer
our article A Key to unlock The Mystery on Bolivias
rock Symbols.
We shall observe
in the above diagrams the formation three concentric circles in the ancient ritual ceremony of marking the
cardinal and ordinal directions.
As discussed earlier the area of square and
circle is doubled up to 36 times in the diagrams below.
Dear sisters and
brothers please come up with your suggestions, comments regarding the major
role of nine circles in the above three diagrams and if youve seen any figure of nine
concentric circles please let us know about it.
Concentric circles at Lord Siva temple and Stonehenge found in
Tamil Nadu, India (Authors collections).
Rock art panel located in Northern Arizona, USA. (Authors
collection)
Nassau (Authors collection)
. A
diagram from very old book- Thanks to Lambert Dolphin
Stonehenge and Harappa Seal Thanks to the concern authors.
Images of site in California
and Shamanic tradition Thanks to the concern authors
Conclusion:
According to
south Indian culture a person soon after his death will attain the
Paralokha (Heaven). It is the sacred meaning of Stonehenge with single stone circles.
A point at the
center and followed by three circles, the center point is The Principle Unity
(The center of the most holy place), the circuit next to the center is heaven,
next to the heaven circuit is physical level of existence and the last circuit
is the infra physical levels of existence. It is the
sacred meaning of three concentric circles.
According Indian
temple architecture (Kiriya Patham) the temple construction is compared with
the human (AdamKadam / Purusa) body. The human body is covered with five
sheaths such as Food sheath, Breath sheath, Mind sheath, Intelligence sheath
and Bliss sheath. These five sheaths represented as courts (circles) in the
temple. It is the sacred meaning of five concentric circles.
Also in the
temple there can be one or three or five courts, among those three are very
common.
The Muhammadan
Seventh Heaven, is said to be "beyond the power of description."
...In the Islamic graded concept of Heaven, which also prevailed among the
Jews, one goes after death to the Heaven he has earned on earth, and the
Seventh Heaven, ruled by Abraham, is the ultimate one, a region of pure light lying
above the other six, the Heaven of Heavens. Anyone in Seventh Heaven is thus in
a state of ineffable bliss, having the greatest pleasure possible. Encyclopedia of Word and
Phrase Origins (Hendrickson, 1987). In Indian Hindu religion as one step ahead, we
find seven upper world and Seven Lower world. The twice the seven are the
births with the ultimate goal to reach the Heaven. It is the sacred meaning of seven concentric circles.
(N.B. When counting the circles, the center most circle or
in the form dot (Bhindu) not to be counted)
In the book Symbols of Art, Religion and Philosophy-Dr. Padma Sudhi, Page 19.
The
circle represents the principle, which has no beginning, no end, perfectly
symmetrical and at all points equidistant from the center. It indicates the
realm of radiations from the one center, at times an enclosure, a periphery, a
circumscribed field of action.
In the book The
Secret Teaching of the Vedas The
eastern Answers to the Mystery of Life
Stephen Knapp. Chapter Seven: Heaven and Hell and the basic structure of the
Universe, page 141-142. The Basic Universal Structure.
To
begin with, it is explained that the material cosmic creation is like a cloud
within a corner of the unlimited spiritual sky. Within this cloud there are
unlimited universe. Each universe is enclosed by a shell of the material
elements, making the interior completely dark except for the light of the sun.
The Srimad-Bhagavatam (3.11.41) explains: The
layers of elements covering the universe are each ten
times thicker than the one before, and all the universe clustered together
appear like atoms in a huge combination.
This indicates that if we were to travel to the dark
outskirts of the universe, we would run into a shell of Earth that encircles the universe. The thickness of the shell
would be ten times thicker than the universe is wide. After that would be a
layer of Water ten times thicker than the
layer of earth. Then there are layers of fire,
air, ether,
mind, intelligence
and false ego. Of course, the form of the
elements in these layers is more subtle than what we normally find on this
planet. The interior of the universe is very small in comparison to the layers
of elements, which encircle it. Obviously, therefore, no one can ever get out
of this universe by means of any mechanical or material perfection. (Earth, Water, fire,
air, ether,
mind, intelligence
and false ego - Eight).
The earth planet, situated in the middle planetary
system, it is called Bharatavarsa or Jambudvipa. The Srimad-Bhagavatam (5.20.3-42)
describes six other major islands above Jambudvipa.
These are Plaksadvipa and then Salmalidvipa. Above that is Kusadvipa or the moon planet. Beyond Kusadvipa is Krauncadvipa which has width of 12,80,000 miles,
The island of Sakadvipa, the planet of the
pious, is next whose inhabitants practice pranayama and mystic yoga, and in
trance worship the supreme Lord in the form of Vayu.
The next planet is Puskaradvipa
or Brahmaloka, which is 51,200,000 miles
in diameter and is surrounded by an ocean of very tasty water. On this planet
is a great lotus flower with 100,000,000 pure golden
petals, as effulgent as the flames fire. The lotus is considered the
sitting place of Lord Brahma, who is the most powerful living being in the
universe and who is therefore sometimes called Bhagavan. The inhabitants of
this planet worship the supreme as represented by Lord Brahma. In the middle of
that island is a great mountain named Manasottara, which forms the boundary
between the inner side and outer side of the island. Its breaths and height are
80,000 miles.
What is the relation of 10, 8,
and 512 in ancient system measurements, doubling
the area of square, the creation of universe and the Ezekiels temple?
Let us assume the 10 multiplied by 10
in 8 times, 10x10x10x10x10x10x10x10
=100,000,000. Are these 100,000,000 the pure golden
petals, which is the sitting place Lord Brahma? Is the
secret of the ten stages (Ten) from I to 32
indirectly is shown in the size of Holy of Holy of Ezekiels temple?
Will the fact that the structure of universe is ten times thicker than the one before will be
helpful to those who are researching on the theory 10 Dimensions?
What is the link between size of Ezekiels temple (512 x512) in square shape and the circle
drawn inside the square with a diameter of 512
long cubits and the dimensions 51,200,000
miles in diameter of Brahmaloka?
Added to the above. Why the open space at the center of
Ezekiels temple including the
most holy of holy chamber is 80 long cubits x
80 long cubits? Is it connected to In the middle of that island is a great mountain
named Manasottara, which forms the boundary between the inner side and outer
side of the island .Its breaths and height are 80,000
miles?
In
the book The Secret
Doctrine H.P.Balavatsky,
page 83: Stanza III-continued,
10.
FATHER MOTHER SPIN A
WEB WHOSE UPPER END IS FASTENED TO SPIRIT (Purusha), THE LIGHT OF THE ONE
DARKNESS, AND THE LOWER ONE TO MATTER (Prakriti) ITS (the spirits) SHADOWY
END; AND THIS WEB IS THE UNIVERSE SPUN OUT SUBSTANCES MADE IN ONE, WHICH IS
SWABHAVAT (a).
(a) In the Mundukya (Mundaka) Upanishad it is
written, As a spider
throws out and retreat its web, as herbs spring up in the ground
so is the
Universe derived from the undecaying one (I.1.7). Brahma, as the germ of unknown Darkness, is the
material from which all evolves and develops as the web from the spider, as foam from the water, etc. This is
only graphic and true if Brahma the Creator is, as a term, derived from the root brih, to
increase or expand. Brahma expands and becomes the universe woven out of his own substance.
The same idea has been beautifully expressed
by Goethe, who says:
Thus at the roaring loom of Time I ply,
And weave for God the garment thou seest Him by.
Modern Science
is the newborn baby to Mother Nature and what the todays science tries to discover is
only the past, not the present or the future. But our ancestors lived all
around this material world already discovered the secrets of past, present and
future with their power of spiritual knowledge and left the sacred information
in the symbolic representation of concentric circles one above the other for
the future generation. We observe a stone dropped in water pond naturally forms
the concentric circle, the surface of water in a glass form concentric circles
when it was kept near a vibrating machine and surprisingly the terrestrial
waves are in concentric circles.
All the above
reveals the secret of sacred meaning that We are all from The One and shall return to That
One. That One is The Supreme Soul. Our Athmas (Souls) are the part of Paramatha
(The Supreme Soul) as the water drops shine on sun light, we shall know our
self (shine) once we realize our inner self. The gradual increase and decrease
in the dimension of concentric circles indicate the concept of evolve and
dissolve (originated from the One and return to The One). This is indicated in
geometrical pattern as concentric circles; one above the other and it is the
symbolic representation of cosmic creation and a most sacred one. These
geometrical patterns were originated from the ancient ritual practice of
marking the cardinal and ordinal directions and doubling the area of the
squares/circles/oblongs. Based on the Harrapa clay seal of 4000 years ago that
the knowledge of ancient geometry was known to all over the world.
In this article
we have only collected the various flowers (ancient data) from east to west and
tied in a string and decorated beautifully for garlanding the memorials or
monuments of those who spent life for the world peace. May their soul rest in peace.
The
concentric circles found all over the world is an eye opening to realize that
the people of our earth are interconnected and we are all of one human
family. It is our hope that these discoveries of ancient symbols, will
continue to bring us all together in peace and we will see the wonderful
connectedness of us all along with the cultural diversity that makes us all
unique. We will continue to search out and bring public, as yet undiscovered
sites that will push forward this goal.
Jack Andrews. Concentric circle petroglyphs (rock carvings)
are found throughout the American Southwest. To the Ancient Ones these may
have represented the shaman's passage from one world to the next, for
instance, from the physical world to the spiritual world. Concentric circles
may also have signified the footsteps of Masau'u, the Hopi god of both the
physical earth and the Underworld inhabited in the afterlife by departed
spirits. (The Hopi are American Indians who have lived for millennia in
Arizona, USA.) Still another interpretation involves the Sun, which the Hopi
call Tawa. This was and still is conceptualized as the Supreme Being
or Creator instead of merely the astronomical body seen by contemporary
science. 'In Pueblo explanations of this old symbol, so standardized as
possibly to warrant designation as a glyph, the outer circle represents the
ring of light around the Sun, the second represents Sun himself, and the
inner circle or dot his umbilicus, which opens to provide mankind with game
and other food.' [Alex Patterson, Rock Art Symbols of the Greater
Southwest, p. 66] Although this distinction between the various rings
differs slightly from the interpretation provided by T.L. Subash Chandira
Bose above, the fact remains that the ancient people of North America viewed
concentric circles as possessing great inter-dimensional significance. In
essence, concentric circles formed the tunnel leading to the mysterious
Unknown." -Gary A. David. Living in this earth is a surprise and dying in this
earth is certain - T.L.Subash Chandira Bose. |
γ T.L.Subash Chandira Bose 2003. E-mail to: lscbose@eth.net |