Ophir

SUN-STAR & CROSS OF PERU

REFLECTIONS ON THE NEW JERUSALEM & GIZA GREAT PYRAMID

Section IV, Part 7, (A)

The Wonderful Numbers of Sacred Canon

By Doug Krieger

Page-Flip Version

Nestled in the mysterious reaches of the Peruvian desert in the Palpa Mountains is one of the most precise geometric configurations known to man:  The Sun-Star, and its “satellite” – the Sun-Cross.  This famed Geoglyph has for centuries remained an obscure earthly reflection of ancient calibration – an astronomical wonderment depicting something far and beyond the immediate reach of human understanding…if the Great Pyramid of Giza, Egypt, is to metrologists the Seventh Wonder of the World (still standing) in the Northern Hemisphere – then the Sun-Star of Peru is the “Eighth” World Wonder whose measurements may claim the Southern Hemisphere.

Its checkerboard indentations – so incredibly precise and measureable (Considered as a *Class 1 Geoglyph – the highest degree of precision in construction resulting in straight lines and evenly spaced and proportional symbol elements – most pronounced of the seven categories) – its octagonal shape and massive square overlays – its “wheel within the wheel” and additional circles both in view and imagined – and its dynamic interior – so enigmatic, peculiar, riveting to the attention of astronomer, mathematician, and especially, geometer – let alone archeologist, cosmologist and numerators throughout the world – bring us to conclude, as the late and dedicated Geoglyph researcher, Maria Reiche, did:  These earthly objects echoed heavenly realities…they were designed as astronomical calibrations observed in the celestial realms. (*Tim McGuinness, Ph.D. for NazcaMystery.com).

More specifically, these peculiarities of antiquity mirror not only those dimensions of the Great Pyramid of Giza, the Sun and Moon but those of the New Jerusalem!          

Who could have envisioned such geometric calculations etched into Earth’s most barren plateau to have lasted centuries – some say since 900 BC.  Yes, who – but more importantly, why?  Why was the design of this Geoglyph so indelible – even mesmerizing to the professional eye, elevated to view its magnificence and possible message?  Its difference from all other peculiar Palpa-Nazca Geoglyph is striking – the closest glyph to the Museum of Maria Reiche along the costal route of the Pan American Highway some 200 miles south of Lima, Peru is there for a reason.   

The ancients who determined its dimensions used metrologies far and beyond our wildest imagination – their precisions astound – use of measuring instruments calculating heavenly movement and beyond…they, we affirm, saw into the prophetic – knew time and space and somehow, some way, were aware of the Dimensions of Paradise – for the Sun-Star’s duodecimal (12) imprint is so well integrated into their “system.” We are left in utter wonderment that something of this magnitude could not have been left to happenstance.  Yes, we conjecture, most certainly, however:  Could the designers have known that its reflection magnified the Revelation of the New Jerusalem of John the Beloved, and mirrored the very ratios of the Great Pyramid of Giza?  Could it be that the same genius whose architecture has survived as the last Wonder of the World – its Seventh – saw the need for an Eighth – an octagonal Geoglyph to match the octahedron or half octahedron of the Great Pyramid of Giza? 

This is not fiction – the Sun-Star/Sun-Cross was chiseled/carved/dug out of the most arid and windless plateau on earth . . . preserving their impress unto the posterity of our time . . . making this most ancient glyph, and the hundreds of others found in the region, a most unique feature of Earth’s antiquities:  

“The Nazca Lines (Nasca Lines), are a set of zoomorphic, phytomorphic and geometric figures (lines, triangles, trapezoids, circles, spirals, birds, a spider, a monkey, flowers) that appear engraved in the surface of the Nazca desert, a high arid plateau that stretches 37 miles between the towns of Nazca and Palpa on a large flat area of southern Peru. The Nazca Lines are one of the mysteries of the ancient world. They are the most outstanding group of geoglyphs (drawings on the ground) in the world. Lines and figures appear in an area of over 300 square miles.

“How did the ancient people of the Nazca desert (between 900 BC and 600 AD) achieve such geometrical precision, and what is the meaning of the drawings of giant spiders and birds?

“Decades of exploration and study by German-born mathematician Maria Reiche led her to see the Nazca lines as a sophisticated astronomical observatory, created to mark risings and settings of the sun, moon and stars.” (Nazca Lines)

Decades, yes, centuries – peering into this autostereogram – “designed to create the visual illusion of a three-dimensional (3D) scene from a two-dimensional image in the human brain. In order to perceive 3D shapes in these autostereograms, the brain must overcome the normally automatic coordination between focusing and vergence.” (Wikipedia)…yet, we never could make out the incredible features found in the Sun-Star which bespeak the dimensions of Paradise:  The New Jerusalem.  Theories to their origins abound…guess which one I prefer?

The multiplicity of theories staggers the imagination.  T.L. Subash Chandira Bose and Jack Andrews in their “A key to unlock the mystery on a Geometrical Nazca Marking” suggest that the design of the Peruvian Sun-Star conforms to Indian (as in modern India) mysticism and derivations of Hinduism.  I find their immediate research and prejudice toward Hindu interpretations somewhat fascinating but, sorely lacking in their technologies in viewing the Sun-Star.  This may have altered their perceptions and ipso facto their interpretations.

However, one substantive observation which they make is this:

“There is also one more square (actually there are several clearly seen) turned forty-five degree, on one of its sides falls on the line from the right side group of circles at angle forty-five degrees.”

They are alluding to the largest of the rhombi which they call the “hidden green square.”  Furthermore, they noticed that there are a total of 81 holes/dots on the crisscrossed squares from whence additional spiritual conjectures can be ascertained.   (I will discuss both these points later – the 45° tilt of the rhombi and the fact of the 80 + 1 = 81 dots.)  The Hindu interpretation of these dots goes something like this:

“The eighty-one dots represent cells in Graha-Yantra in which the numerals one to nine are distributed [in] such a way so that the additions (vertical, horizontal and diagonal) of these numbers[s] will remain as eighty-one.

“According to Shree. Jaganatha Swamji ‘The number 81 means the creation of  [the] universe as 8 is the letter JA and KA is the letter one which forms the letter JAKA- the universe.   According to Shree, Jaganatha swamiji ‘The number 33 which actually represent the divine and celestial energies or devas (Mupathu Mukkodi devar- thirty three cores divinities)’.”

However, I am duly grateful to the Bose/Andrews team for pointing out that the rhombus to which they allude (the largest of the possible six rhombi – green in their graphic above) slices through certain “squares” (some made up of “half-squares” due to the 45° slicing of the rhombus through portions of the 144 squares) which number 72 squares within this largest (green) rhombus (or one-half of all 144 smaller squares is 72 and these 72 squares – some of which are “half squares” or triangles due to the slicing of the largest rhombus) – all of which are included within the largest rhombus (i.e., one-half of 144 = 72) – please see my colored graphic below and you can readily observe that there are a total of 72 or one-half of the 144 squares included in the largest rhombus.  As a result of their insight – to which I give full credit (though I duly noted it myself later on prior to reading their interpretation) resulted in this astounding calculation:

SIXTH OR GREAT RHOMBUS

360° = 1 Square (or each square has 360° or two triangles @ 180° = one 360° sq.

72 (smaller squares in the largest rhombus) * 360° (per square) = 25,920° and 25,920 is a fractal of the 25,920 years of the Great Precessional/Mazzaroth/Zodiac

Also:  72 = 7 + 2 = 9 and 360 = 3 + 6 = 9 and 9 + 9 = “18” =

18 = the Standard of the New Jerusalem – likewise:  2592 = “18”

Also 25920 * 2 (for 144 squares) = 51,840 = “18” = New Jerusalem Standard

9 = the Cardinal Number for the Sun of Righteousness

Several of the drawings done by the Bose/Andrew’s team deserve merit in that the “33” dots which are highly suggestive – not of Hindu gods – but of the Son of Man Who gave His Life a ransom for us all at age “33” – let alone how that this “33” is interconnected to the 81 dots – that’s a “wow” later on in this mini-series!  Sorry, “the divine and celestial energies or devas (Mupathu Mukkodi devar - thirty three cores divinities)” – though a Hindu interest – does not in the sum total of the Sun-Star inter-relate to the overall emphasis seen in its geometric design, a design wholly given over to the New Jerusalem’s dimensions and to the celestial consummation of the Bridegroom and His Bride.

I am persuaded, notwithstanding, all sorts of spurious interpretations regarding the origins of the Sun-Star and attempts to interpret its mysteries, are, in the main, dubious and most superfluous – missing the point entirely (perhaps their obvious origins are assuredly sourced in “ancient metrologies” – to be sure – for the duodecimal system of measurement (based on “12”) is overtly displayed).

The drawing in color (above) and the skeletal drawing (black and white only – two drawings below) highlight the Fourth Square from the center (the so-called 8 x 8 Square) and perhaps the most visible with three each (for a total of 12) crisscrossed squares at its four corners – however, and as you will later see, there is ample room for two additional larger squares beyond the “crisscrossed square” (for a total of 6 “larger squares” creating a 12 by 12 square platform of 144 small “background squares” (i.e., out from the Sun-Star’s center – the first square with a diameter, if you would, of two squares (2 by 2); then the next square with a diameter of four squares (4 by 4); then the next square with a diameter of six squares (6 by 6); then the next square – the “crisscrossed square” – with a diameter of eight squares (8 by 8) and then the two additional squares … the fifth square having a diameter of ten squares (10 by 10) and the final “perimeter square” having its diameter of twelve squares (12 by 12) – thus, creating the 144 square “platform” measuring 26.4’ by 26.4’* (or 316.8’ by 316.8’ – 12 squares by 12 squares = 144 squares). 

PART 2 - THE GOLDEN SECTION

The Greek letter phi (φ) signifies the golden section, also known as the divine proportion of 1.618 to one. The mathematical formula for φ is the square root of five plus one, divided by two. If a line is divided with the ratio of φ between the longer segment and the shorter segment, the ratio between the whole line and the longer segment is also φ. Given a length of one for the shorter segment, the length of the longer segment is φ and the length of the entire segment is φ plus one. φ plus one is also equal to φ²:

1.618 + 1 = 2.618 and
1.618 x 1.618 = 2.618

Given a length of one for the longer segment, the shorter segment is 1/φ (.618) and the length of the entire segment is φ. 1/φ is also equal to φ minus one:

1 ÷ 1.618 = .618 and
1.618 minus 1 = .618

There is also an extremely close mathematical relationship between φ and π expressed as φ² x 6 = π x 5 (2.618 times 6, divided by 5, equals 3.1416). There is an ongoing dispute about whether or not there was an ancient awareness of φ and π. In the ancient world, φ existed naturally in the proportions and growth rates of plant and animal species, as well as spirals ranging from microscopic to flowering plants and seashells to the spiral arms of the galaxy. The π ratio between the diameter and the circumference of a circle also existed naturally in the ancient world. It has also been shown that φ and π existed in many man-made ancient buildings, including the great pyramid of Giza.

The ancient Egyptian royal cubit, equal to 20.625 English inches, was used to build the great pyramid. The height of the pyramid is 280 cubits and the baselength of the sides at ground level is 440 cubits. The ratio between the height and two baselengths of the pyramid is an accurate expression of π (880/280 = 3.1428). The slant height of the pyramid is 356 cubits. The ratio between the baselength of the pyramid and the two slant heights that form the pyramid triangle is an accurate expression of φ (712/440 = 1.618).

4,745 x 1.618 = 7,677

Ninety miles northeast of Angkor Wat are the Angkor temples at Prassat Preah Vihear. Preah Vihear is 4754 miles from the Great Pyramid. The line of ancient sites crosses over the Great Pyramid and Angkor Vihear.

Angkor Prassat Preah Vihear

Twenty five miles northwest of the city of Nazca is a figure known as the Hummingbird. The Hummingbird is 7,692 miles from the Great Pyramid. The line of ancient sites also crosses over the Hummingbird.

The Hummingbird

The relationship between the distances from Angkor Vihear to the Great Pyramid and from the Great Pyramid to the Nazcan Hummingbird is also a precise expression of φ:

4,754 x 1.618 = 7,692

Because the Hummingbird and Angkor Vihear are antipodal sites, with a distance between them of one-half of the circumference of the earth, two Golden Section relationships between these three sites are shown by the circumference of the earth along the line of ancient sites:

4,754 x 1.618 = 7,692

4,754 + 7,692 = 12,446, and

7,692 x 1.618 = 12,446

These Golden Section relationships may also be diagramed on a straight line:

The line of ancient sites is a line, from the perspective of the first illustration in Part One, and it is a circle, from the perspective of the azimuthal projection above. The line and the circle are found in the greek letter φ and the number 10. Zero and one are also the first two numbers and the only two numbers in the binary code.

The φ relationships between these sites are reflected repeatedly in the first 500 Fibonacci numbers. The first three prime numbers, 2, 3 and 5, approximate the intervals along the circumference of 20%, 30% and 50%, between these three sites. This same percentage of the circumference relationship, accurate to three digits, is found in Fibonacci numbers 137-139:

The next prime Fibonacci number after #137 is #359. The distances between these sites, in miles, is reflected by Fibocacci numbers 359-361, accurately to five digits:

The Great Pyramid is aligned with Machu Picchu, the Nazca lines and Easter Island along a straight line around the center of the Earth, within a margin of error of less than one tenth of one degree of latitude.

Other sites of ancient construction that are also within one tenth of one degree of this line include:

• Perseopolis, the capital city of ancient Persia

• Mohenjo Daro, the ancient capital city of the Indus Valley

• the lost city of Petra.

The Ancient Sumerian city of Ur and the temples at Angkor Wat are within one degree of latitude of this line.

The alignment of these sites is easily observable on a globe of the Earth with a horizon ring. If you line up any two of these sites on the horizon ring, all of the sites will be right on the horizon ring. 3-D world atlas software programs can also draw this line around the Earth.

Start on the Equator, at the mouth of the Amazon River, at 49° 17' West Longitude; go to 30° 18' North Latitude, 40° 43' East Longitude, in the Middle East, which is the maximum latitude the line touches.

Then go to the Equator at,

• 130° 43' East Longitude, near the Northwest tip of New Guinea

• then to 30° 18' South Latitude, 139° 17' West Longitude, in the South Pacific

• then back to 49° 17' West Longitude, at the Equator

The circumference of this line around the center of the Earth is 24,892 miles. Along this line, the great circle distance from,

• the Great Pyramid to Machupicchu is 7,487 miles, 30.0% of the circumference.

• Machupicchu is 2,564 miles from Easter Island, 10.3%.

• Easter Island is 10,096 miles from Angkor Wat, 40.6%.

• Angkor Wat is 2,490 miles from Mohenjo Daro, 10.0%.

• Mohenjo Daro is 2255 miles from from the Great Pyramid, 9.1%.

In addition to calculating the distances between these sites as a percentage of the circumference of the Earth, the distances may also be calculated in degrees of the 360° circumference, by multiplying the percentage by 3.6.

For example, the Great Pyramid is 108° away from Machupicchu.

Angkor Wat and Angkor Thom were constructed at a time when 72 temples were built across the Angkor Plain. The Angkor temple at Prassat Preah Vihear, 90 miles Northeast of Angkor Wat, is within one tenth of one degree of the line. Like Machupicchu, the temple at Prassat Preah Vihear was built on the edge of a mountaintop. The first temples built around Angkor are near the city of Rolous, Southeast of Angkor Wat.

The temples near Rolous are also thought to have been built on foundations constructed at a much earlier time.

Halfway between Angkor Wat and the Great Pyramid is the Indus Valley, the city of Mohenjo Daro, and the unexcavated city of Ganweriwala, which is East of Mohenjo Daro, and thought to be just as large. Both of these sites are on the line between Angkor and the Great Pyramid. The Indus Valley is also antipodal to Easter Island.

It is an interesting coincidence concerning these two sites, opposite each other on Earth, that of the few ancient written languages of the world that remain undeciphered, two are Indus Valley Script and Rongorongo, the written language of ancient Easter Island. The world's first known written languages, Egyptian Hieroglyphics and Sumerian Cuneiform, were also developed along this line of ancient sites. The Jewish, Christian, Muslim, Hindu, Brahman and Buddhist religions, as well as ancient Egyptian and Peruvian religions, were also developed along this line.

Anatom Island is the southernmost Island in the new Republic of Vanuatu, formerly known as the New Hebrides. Anatom Island is exactly halfway between Easter Island and Angkor Wat 5,048 miles each way, or 20.3% of the circumference of the Earth. Stone ruins on Anatom Island once housed the largest missionary church in the southern hemisphere.

The line crosses over the source and the mouth of the Amazon, the mouth of the Nile, the mouth of the Tigris-Euphrates, the Indus River and the Bay of Bengal near the mouth of the Ganges.

The line also crosses over a number of areas of the world that are largely unexplored or unexcavated, including the Sahara Desert, the Brazilian Rainforest, the highlands of New Guinea, and underwater areas of the North Atlantic Ocean, the South Pacific Ocean and the South China Sea.

For example, the midway point between the Great Pyramid and Machupicchu is in the North Atlantic Ocean, less than one degree south of the Cape Verde Islands. This is also the midway point between Easter Island and the Indus Valley.

Although the Cape Verde Islands were found to be uninhabited when they were rediscovered in 1460 A.D., maps and geographical descriptions for the past 2000 years have shown this location to be the home of ancient island civilizations, including maps showing this location to be the site of Atlantis. In Plato's account of Atlantis, there was a mountainous region north of the city.

Are the higher elevations of those mountains now the Cape Verde Islands?

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PART 2 - GOLDEN SECTION SITES - ANGKOR, THE GREAT PYRAMID & NAZCA

Angkor Wat is 4,745 miles from the Great Pyramid and the Great Pyramid is 7,677 miles from Nazca.

This is a precise expression of ?, the Golden Section: 4,745 x 1.618 = 7,677

Because the distance from the Hummingbird to Angkor Vihear is one-half of the circumference of the earth, two Golden Section relationships between these sites are shown by the circumference of the earth along the line of ancient sites:
 

These Golden Section relationships may also be diagramed on a straight line
 

The line of ancient sites is a line, from the perspective of the illustration in Part One, and it is a circle, from the perspective of the illustration in Part Six.

The line and the circle are found in the Greek letter phi and the number 10. Zero and one are also the first two numbers and the only two numbers in the binary code.

The phi relationships between these sites are reflected repeatedly in the first 500 Fibonacci numbers. The first three prime numbers, 2, 3 and 5, approximate the intervals along the circumference of 20%, 30% and 50%, between these three sites.

This same percentage of the circumference relationship, accurate to three digits, is found in Fibonacci numbers 137-139:

The next prime Fibonacci number after #137 is #359.
The distances between these sites, in miles, is reflected
by Fibocacci numbers 359-361, accurately to five digits.

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PART 3 - LINES THROUGH THE EARTH

Since the circumference of the Earth is also 3.1416 times the diameter of the Earth, the straight line distance from Easter Island to Machupicchu times pi² equals the circumference of the Earth.

The angle formed by the lines from Easter Island to Machupicchu, and to the Indus Valley, is 72°. The angle formed by the lines from Easter Island to Machupicchu, and to the Great Pyramid, is 54°.
 

The ratio of the base to the slant height of the Great Pyramid is exactly two times the ratio of the base to the height of the triangle formed by through the earth straight lines connecting the Great Pyramid, Angkor and Easter Island.

Because the distance between the Great Pyramid and Angkor is very nearly 20% of the circumference, they are very nearly 72° apart, along the circle.

Because the distance from the Great Pyramid to Easter Island is very nearly 40% of the circumference, and the distance from Angkor to Easter Island is very nearly 40% of the circumference, the Great Pyramid and Angkor are both very nearly 144° away from Easter Island, along the circle.

The number 72, and to a lesser extent the numbers 54, 108, and 144, have been associated with the designs of these sites, particularly at the Great Pyramid and Angkor. The ratio of the height and the perimeter of the Great Pyramid, to the size of the Earth, is a multiple of 72.

The number of temples built around Angkor is 72, and the number 54 is reflected in the numbers of statuary in the temples at Angkor. The use of these numbers is also prevalent in ancient writings and folklore surrounding these sites. The number 54 is itself a factor of 72, in that 72 plus ½ of 72, or 36, equals 108, which divided by two equals 54.

The number 72 is also associated with the astronomical phenomenon known as precession, because 72 years is the length of time it takes for the constellations to move one degree due to precession. This has been offered as an explanation for the use of these numbers, suggesting that the builders of these sites were aware of the precession of the equinoxes.

In the 2nd century B.C., the Greek mathematician, Archimedes, wrote an article entitled The Sand Reckoner, in which he cited earlier Greek mathematicians (like Archimedes, they had studied in Alexandria and Heliopolis) who had calculated that the Sun occupied 1/720 of the circle of the constellations. This may be an additional, or alternative, explanation for the prevalence of the number 72, and its multiples and factors, found in these sites.

In any event, the existence of these numbers in the geometric relationships between these sites is complementary to the use of these numbers in their internal designs.

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