Archive for the ‘Geometry’ Category

Update

In no particular order, here are some new images I’ve created recently. I posted these on my Facebook wall but they quickly got lost in the ephemeral feed. This blog is a much better repository for this research.

It turns out that the following 6:5 relationship in the Pyramid of Khafre is 99.9% accurate. The discovery was made by Peter Casperson in his book Den Matematiska Nyckeln Till Guds Namn (which translates from Swedish as “The Mathmatical Key to God’s Name”) published in 2004. The illustration is my own. The 6:5 relationship ties in with what I’ve written before in Taking Measure, the Snowflake and the Flower, and Cubits, among other blog posts.

The Pyramid of Khafre encodes 6:5 proportions

The Pyramid of Khafre encodes 6:5 proportions

The outer perimeter of the egg’s cross-section is 33,333 feet assuming the eggshell has thickness of ~5 feet at the scale of the Great Pyramid. I made a similar oval image a few years ago called The Megalithic Egg but it was based on the 3:4:5 triangle instead.

The circumference of the egg based on the geometry of the Great Pyramid is 33333 feet

The egg formed by the elevation of the Great Pyramid has a circumference of 33333 feet

I made a round image (with Photoshop’s polar filter) of moai on Easter Island looking into the center, and then felt inspired to have them look at the Orion nebula. The 15 moai fit the stages of the alchemical process and I took the stage names from a fantastic novel by Katherine Neville called The Eight that I was re-reading. The philosopher’s stone naturally fits in the center as the final goal of al-kemi. I was playing with the swirling colors as seen above in the nebula or below in the chemicals of the alchemist’s cauldron. Are we looking into the heavens or deep within? They end up in the same place: awareness.

The Great Work

The Great Work

Here I update The Mystery of 273 image that was published in Quantification with one more fact in the upper left — The temperature of the cosmic background radiation (that’s the energy left over from the big bang) measures 2.73°K. Wonders never cease.

The Mystery of 273 (update)

The Mystery of 273 (update)

I was Graham Hancock’s author of the month in September 2014. Here is the article I wrote for his site.

Mostly I have been working on paying projects at Lynda.com lately with little time for SIPS, although Dennis Fetcho interviewed me yesterday and we talked about SIPS and Quantification.

Here is a full accounting of our solar system:

Inspired by Don Barone on Graham Hancock's forum

Inspired by Don Barone on Graham Hancock’s forum

Is this the basis of the Fahrenheit scale, why water boils at 212°?

666-212-555

It’s interesting also that 33°F = .55555…°C

Here’s a discovery I made some time ago but don’t think I’ve posted it in the blog before. The Governor’s mansion at the top of Victoria Peak overlooking Hong Kong is 3333.3 km from Borobudur. Amazing distance between such important sites!

Hong-Kong-Borobudur-555

Here is a view of the fruit growing on the Tree of Number.

Tree-of-Number-555

The Vitruvian Labyrinth

VitruvianLabyrinth555

Post Metaphysics

Post-Metaphysics-555

The World Wide Web

World-Wide-Webv3-555

Information

Information

The traditional Buddhist retreat lasts for 3 years, 3 months and 3 days. Makes sense?

BuddhaBirthDeath

The Eye of Horus

The Eye of Horus

I was Graham Hancock’s author of the month for September 2014 and wrote the following article called Measuring the Mystery.

I wrote an article called Mathematical Encoding in the Great Pyramid on Ancient-Origins.net.

Equator-Heliopolis-Everest555-v2

New Jerusalems

Before I discuss New Jerusalems, let us step back and first examine Jerusalem itself. Solomon’s Temple was located somewhere on Jerusalem’s temple mount. However, there is debate as to the exact location of the “holy of holies” where the Ark of the Covenant was kept. Was the holy of holies located on the Foundation Stone inside the Dome of the Rock or was it located elsewhere on the temple mount?

In 1977 Dr. Asher Kaufman published a paper, ‘New Light upon Zion: the Plan and Precise Location of the Second Temple’ that located the most sacred place in Judaism about 100 yards north of the Dome of the Rock under a small dome formerly known as the Dome of the Tablets that I covered in SIPS Volume 1.

Dome of the Tablets

Dome of the Tablets from SIPS Volume 1

The late John Michell discovered what he termed The Messianic Axis in Jerusalem that corroborated the Kaufman theory.

The ark of the covenant held the 10 commandments, which actually sound a lot like spell 125 from the Egyptian Book of the Dead, but that’s another story.

Here is what the Messianic Axis looks like along with Michell’s 5×12 sacred geometric overlay. Richard Heath shows in his book Sacred Number and the Origins of Civilization that the X’s mark the holiest places in Christianity and Judaism. I have shown how the 6:5 proportions of these X’s have a double-layered encoding in the metrology of Cubits. Curious how all these stories occurred along a line.

Michell's sacred geometry of Jerusalem

Michell’s sacred geometry of Jerusalem

Jan Thulstrup noticed that the dome of St Peter’s Basilica has an inner radius of 20.736 meters. The cubit that measures Jerusalem is 20.736 inches in length. This coincidence is entirely fitting for the holiest places in Christendom. Rome is a New Jerusalem.

"Christen-dome"

“Christen-dome”

The name Peter means rock. Speaking of domes and rocks, the Dome of the Rock in Jerusalem is 3333.3 km from La Place de la Nation in Paris.

Nation-DOR-555

The Tuileries Gardens in Paris shares Jerusalem’s 5×12 proportions. The Historical Axis of Paris exhibits the same pattern as the Messianic Axis of Jerusalem. The Sun King not only had but also built a messianic complex. Paris is a New Jerusalem.

ParisAxis555

Putting these patterns together, here is what emerges:

Paris-Jerusalem-Axes333

The Rond-Point des Champs-Élysées is 3652422 yards from the center of Jerusalem. The tropical year is 365.2422 days. The Rond-Point has 6 fountains arranged in a Star of David pattern. The heading from Jerusalem to Paris is 314° true north, recalling π. None of this is an accident but if it were, how amazing! What are the chances?

New Jerusalems are not an original idea. The Book of Revelation introduces the heavenly, or as we might see it now, a higher-dimensional template of New Jerusalem:

And I, John, saw the holy city, New Jerusalem, coming down from God out of heaven, prepared as a bride adorned for her husband. -Rev 21:2

NewJeru-Dore-555

Also later in Chapter 21 New Jerusalem’s cube-it dimensions are given:

And the city lieth foursquare, and the length is as large as the breadth: and he measured the city with the reed, twelve thousand furlongs. The length and the breadth and the height of it are equal. -Verse 16

12 thousand cubed is 1728 billion cubic furlongs. Michell calculated that the 5×12 rectangle in Jerusalem’s long side measures 1728 cubits. The cubits measure 6/5 feet cubed, or 1.728 feet. Therefore the heavenly new Jerusalem of the Bible is dimensioned using the template from the real Jerusalem or maybe it is the other way around.

I showed in SIPS Volume 1 how DC is a New Jerusalem.

DC512-555

New York’s Central Park is proportioned by double 5×12 rectangles which just so happen to also correspond to the proportions of the dollar bill with 98% accuracy.

CentralParkDollarBills555

Urban Asplund measured the distance from the Round Fountain in the Tuileries, which corresponds to the holy of holies inside Solomon’s Temple, and discovered that it is exactly 6666.6 km to the center of Buckingham Fountain in Grant Park, Chicago.

GrantPark-Tuileries-Jerusalem3

Look at how both complexes are fronted by water, with the sinuous Seine running through Paris and the Chicago River and Lake Michigan in Chicago. Both complexes feature fountains with sprays of water.

In Revelation Chapter 22, John of Patmos’ described New Jerusalem as having a “pure river of water of life, clear as crystal, proceeding out of the throne of God.”

La Jérusalem nouvelle. Le Fleuve de Vie. c1047

La Jérusalem nouvelle. Le Fleuve de Vie. c1047

Could this water of life proceeding out of his seat refer to the spinal Kundalini energy discussed in Serpent Wisdom?

Grant Park has the same 5×12 proportions. Amazingly, Buckingham Fountain is the official eastern terminus of US Historic Route 66.

The western terminus of Route 66 is the end of the Santa Monica Pier, which I discussed in SIPS Volume 2 (watch to learn how it connects to Baalbek, Century City and Hollywood). The distance from the end of the pier, the official “end of the trail” of Route 66 to the Dome of the Tablets in Jerusalem is 6600 nautical miles.

Route 66 snakes its way from Chicago to LA, over 2000 miles, all the way. Highways are like rivers. I see Route 66 symbolizing the water of life flowing to the Pacific ocean.

With all the repeating 6’s in the measures of these New Jerusalems I should point out a few more. The distance from the Round Fountain in the Tuileries Gardens to the obelisk in La Place de la Concorde is 666 meters. It’s like the template in microcosm.

Luxor-obelisk-round-fountain555

The Kaaba in Mecca is 666.6 nautical miles from the Western Wall of the Temple Mount. These are the official two most sacred spots in Islam and Judaism, respectively. Clearly these encoded distances transcend any one particular religious tradition. Perhaps there is something or someone deeper, patterning the world.

"Sacred Sites" from Quantification

“Sacred Sites” from Quantification

Kevin McMahon posted this graphic on Facebook today. He also discovered that it is 777.7 miles from Grant Park Buckingham Fountain to the entrance of the IPG at a heading of 314° true north.

IPG512

If you saw SIPS Volume 1, you might recall that Stonehenge has its station stones which describe a 5×12 rectangle.

from SIPS Volume 1

from SIPS Volume 1

Stonehenge is also 33.33° from Solomon’s Temple.

Stonehenge Solomon's Temple

Perhaps Stonehenge was the template for Jerusalem? Food for thought.

Asplund made the following connections. I call it the “Esoteric Metro”. All four sites are in an alignment and thus in a sense, they all resonate as New Jerusalems.

Esoteric-Metro555

Some massive integration is going on lately. Here are two more stations in the esoteric metro. The two paths from Ellora and Carnac converging on the Freemason Emblem Building at the International Peace Garden meet at a 45° angle. The IPG is located at 100°3’33.33″W.

Stations555

Did you know the highest concentration of lightning on Earth (20,000 strikes per night) occurs in a specific location? This happens over a spot called Aguas Muertas where the Catatumbo River empties into Lake Maracaibo in Venezuela.

So bright and reliable is the lightning that this location has been called the Maracaibo Lighthouse for hundreds of years.

The phenomenon is characterized by almost continuous lightning, mostly within the clouds, which is produced in a large vertical development of clouds that form electric arcs between 2 and 10 km in height (or more).

Wouldn’t it be amazing if people could harness that raw power? It might light up the planet in terms of providing for our electrical needs.

EarthNight555

An average bolt of negative lightning carries an electric current of 30,000 amperes, and transfers 15 coulombs of electric charge and 500 megajoules of energy. Large bolts of lightning can carry up to 120,000 amperes and 350 coulombs of charge. -Source

Doing the math, I calculate that a single large bolt apparently provides the energy of 11,666,666,666 joules. :)

The Lighthouse of Maracaibo is 6666 miles from Heliopolis, which is in turn 3333 miles from the highest point on Earth. That is some serious Earthupuncture! It reminds me of moxybustion. The City of the Sun sure seems to be sited well for accumulating earth energy. It was built long before Jerusalem existed. In fact all that remains of Heliopolis above ground is this one granite needle.

Maracaibo-Heliopolis-Everest555

The sacred geometry of Jerusalem (1728 cubits of 1.728 feet each) is encoded in our very units of measure, a secret in plain sight. One cubic foot = 1728 cubic inches.

The Earth’s diameter is 7920 miles. 7920 inches = 1 furlong. 17280 furlongs = 2160 miles. The Moon’s diameter is 2160 miles. We are living in the ‘heavenly’ New Jerusalem…

Earthrise in the Matrix

Earthrise in the Matrix

…spaceship Earth.

Serpent Wisdom

Serpent wisdom from the Bible, Genesis Chapter 3, King James version:

Now the serpent was more subtle than any beast of the field which the Lord God had made. And he said unto the woman, Yea, hath God said, Ye shall not eat of every tree of the garden? And the woman said unto the serpent, We may eat of the fruit of the trees of the garden: but of the fruit of the tree which is in the midst of the garden, God hath said, Ye shall not eat of it, neither shall ye touch it, lest ye die.

And the serpent said unto the woman, Ye shall not surely die: For God doth know that in the day ye eat thereof, then your eyes shall be opened, and ye shall be as gods, knowing good and evil. And when the woman saw that the tree was good for food, and that it was pleasant to the eyes, and a tree to be desired to make one wise, she took of the fruit thereof, and did eat, and gave also unto her husband with her; and he did eat.

And the eyes of them both were opened, and they knew that they were naked.

Note: They did not die. Instead, they learned something. Who told the truth and who lied?

Eve Offering The Apple To Adam In The Garden Of Eden And The Serpent by Lucas Cranach the Elder (c.1520)

Eve Offering The Apple To Adam In The Garden Of Eden And The Serpent by Lucas Cranach the Elder (c.1520)

The apple Eve passed to Adam represents knowledge, the basis of serpent wisdom. Steve Jobs well understood the power of one of these symbols.

 Steve Jobs' Apple designed by Jonathan Mak

Steve Jobs’ Apple designed by Jonathan Mak

He also knew the power of number. Here is the original advertisement for the computer that started Jobs’ trajectory from a kid in a garage to running the the largest company in the world by market capitalization at the end of his lifetime. The Apple-1 had a very interesting price point.

Apple-1 price point

Apple-1 price point

Apple’s new Campus-2 corporate headquarters is under construction in Cupertino, California. It just happens to be 8604 km from Stonehenge (see center of image). I noticed the architectural plan’s resonance with a 7-pointed star and overlaid an alchemical diagram representing the process of turning lead, or in this case silicon, into gold. Apple’s stock just split 7-for-1.

Apple Campus 2's sacred geometry

Apple Campus 2’s sacred geometry

Another symbol from Genesis is one that photographer Richard Avedon capitalized on in 1981. Nastassja Kinski was emblazoned on many a teenager’s wall and imagination in the 80s, myself included.

Kinski-serpent

I find that sixes and serpent wisdom go together quite often.

Serpent Mound Louvre Delhi

The distance from Serpent Mound, Ohio to the Louvre Pyramid is 6600.66 km (discovered by Asplund).

“The Egyptian creator deity, Cneph, was represented as a serpent with an egg thrusting from his mouth, similar to the Ohio Serpent Mound.” -Source

In SIPS Volume 1, I showed how the Louvre Pyramid deconstructs into a total of 666 rhombi, large and small.

“Why was the Great Pyramid called ‘House of the Serpent?’ Because, according to Bushby, ancient Egyptian priests maintained that, “a serpent lies coiled in the Great Pyramid.” -Source

I noticed that it is almost exactly the same distance again, 6600 km, from the tip of the Louvre Pyramid to the center of Connaught Place, at the top of the Indian capital’s pyramid. Lutyens’ Delhi is based on sextile geometry.

If you look at the site plan you see that New Delhi was built right next to a serpentine railroad and river. Sixes and snakes again.

New Delhi Site Plan

New Delhi Site Plan

In Taking Measure I showed how there are some very interesting azimuths emanating from the center of the India Gate hexagon.

India Gate hexagon in New Delhi

India Gate hexagon in New Delhi

Come to think of it, I have seen that rounded hexagon before: the mysterious hexagon with an edge length of 8640 miles on the north pole of Saturn.

NASA/JPL-Caltech/SSI/Hampton University

NASA/JPL-Caltech/SSI/Hampton University

I have seen another rounded hexagon in Canberra, the capital of Australia (and many more). City Hill is the site of Australian Capital Territory’s Legislative Assembly and Supreme Court.

City Hill Canberra

City Hill Canberra

I compared Canberra and New Delhi in Taking Measure because their templates have many similarities. They both remind me of this famous crop circle, said to encode many mathematical concepts.

Barbury Castle Crop Circle from 1991

Barbury Castle Crop Circle from 1991

What I didn’t comment on in the book are the bodies of water. Canberra’s Lake Burley Griffin is quite serpentine, don’t you think? It even has a protruding tongue! The water volume is reported as 33,000,000 cubic meters with a surface area of 6.6 square kilometers.

Canberra-555

Jan Thulstrup discovered that the Parliamentary Triangle has a perimeter of 8640 m. 864 is a member of The Cosmic Sequence.

I noticed that Canberra’s “land axis” has a bearing of 216° true north. 216 = 6 x 6 x 6. Canberra’s serpent wisdom includes the relationship of 6/5 in the City Hill hexagon to the Russell defense pentacle.

Connecting the dots, the azimuth from Canberra’s Parliament House to New Delhi’s Connaught Place is 303.33° true north.

Following the trail of synchronicity, a Parisian with the last name Hapax messaged me and asked if I wanted photos he took at Cergy. I have read the late Philip Coppens’ eye-opening article on Cergy called Mitterand’s Great—Unknown—Work and so have been interested in Cergy since then. I wrote about Cergy in my 2011 post on 666.

Hapax photographed this unusual spiral platform on the shore of the lake he called the escargot. It doesn’t seem to serve any practical purpose. It has been said that the spiral snail shell is the specific sign of French freemasonry, called the cochlea, because it embodies the golden ratio.

Spiral platform on shore of lake at Cergy

Spiral platform on shore of lake at Cergy

However, the following plaque is mounted on the stone wall of this spiral platform. I think it is a “smoking gun.”

Plaque on spiral platform at Cergy

Plaque on spiral platform at Cergy, photo by HAPAX

Why would this tedious metrological information be posted unless the complex was consciously planned to encode something with measurements or occupy an important point on the Earth in relation to other sites? Why did the architects of Cergy post this plaque on site but offer no explanatory information as to why it is there? You can see that the “English” and “French” systems of measure are given equal importance in red and blue, respectively.

Some secrets in plain sight do not require human awareness to be created. That is certainly true in some cases like this one (from my previous post):

Africa555v4

However, Cergy is a different story. There appears to be an elite that is aware of Earth measure and numerology. Speaking of, take a look at this speech by Christine Lagarde, Managing Director of the IMF. What do you make of her mention of the “lunar new year” and “the magic 7″? I’m not sure about the editor’s conclusions but there is no denying that numerology and astronomy are unusually important to this member of the global financial elite. She talks in riddles that only those with cochlea to hear will comprehend.

Take a look at my analysis of Cergy’s site plan. Look at how they managed to squeeze in a lake, separated from a serpentine river by a narrow border of land. The lake has two artificial islands, one in the form of a circular mound and the other a small stone pyramid.

Cergy-Pontoise, France

Cergy-Pontoise, France

A line drawn from the altar stone of Stonehenge to the rondpoint of Notre Dame of Paris passes directly over the center of the officially titled, “Astronomical Island” in this city of hidden symbolism. See?

Signage at Cergy

Signage at Cergy

The distance from Stonehenge to the Astronomical Island is 365242 meters, echoing the solar year of 365.242 days. The island is bare by the way, having just a few trees. No astronomical equipment. The bridge doesn’t even lead there.

Cergy vista

Cergy vista – photo by HAPAX

Where that first measurement from Stonehenge leaves off, the next one begins. The distance from the Astronomical Island to the rondpoint of Notre Dame is 30303 meters.

This next one is also a mind-blower: I measured the distance from the Astronomical Island at Cergy to Parliament House in Canberra and it is 55,555,555 feet or 666,666,666 inches. My hunch is that the Astronomical Island is an origin point for geodetic measurements.

Speaking of origins, the pyramid in the lake is related to the Egyptian creation myth of Atum. He arose on a mound that emerged from the primeval waters. He later lived in or became a pyramid that also emerged from the waters. The myth fits the artificial reality of Cergy.

I have a theory that 6 represents Osiris, as Osiris is the oldest root of this tree: Osiris, Cronus, Saturn, Chronos, and most recently Father Time.

Europe’s largest clock is at the terminus of Cergy’s minor axis.

Cergy's Clock is the largest in Europe

Cergy’s Clock is the largest in Europe

Cergy’s official information brochure states the following about this clock:

“Réalisée par l’horloger Huchez, la double horloge de 10 mètres de diamètre (333 fois plus grande qu’une montre-bracelet ordinaire!), qui évoque les gares du début du siècle, est la plus grande d’Europe.”

Google translates this into English as follows:

“Made by the watchmaker Huchez, double clock 10 meters in diameter (333 times greater than ordinary wristwatch!), Which evokes the stations of the early century, is the largest in Europe.”

Ever wonder who Notre Dame or “our lady” really is? This sculpture at the entrance of Notre Dame might give us a hint.

Rebecca Kennison CC BY-SA 2.5

Rebecca Kennison CC BY-SA 2.5

Could she be serpent wisdom? The divine feminine creative power is called kundalini shakti in Delhi.

“In any discussion of serpent wisdom we cannot fail to also mention the ancient Hindu Kundalini practice. Kundalini means simply “coiled serpent” and in the Indian system the ida and pingala energy (through serpent channels) are raised up and down the spine to raise the consciousness of the adept.” -Philip Gardiner

kundalini

Correspondingly, a serpent climbing a rod is the ancient and modern symbol of medicine.

The Star of Life is the symbol of medicine

The Star of Life is the symbol of medicine

“Pythagoras” and “Pythia” are words related to pythons. Their consciousnesses were clearly elevated.

Funny how Delphi and Delhi are such similar words as well, perhaps that is just a coincidence if there even is such a thing.

Pythia, or Priestess of the Oracle of Delphi by John Collier (1891)

Pythia, or Priestess of the Oracle of Delphi by John Collier (1891)

The name Cergy is also a clue. Coppens pointed out that “Cergy” is the mirror of “Y grec,” which is how the French call the letter Y. It works sort of like this:

pie314

“Y grec” or “Greek Y” is also known as the Pythagorean Y that I discussed in SIPS Volume 1. The Y is like the forked tongue of a serpent. It symbolizes the choice we all have to do evil or live, another mirror-choice.

We have inherited the culture of those who wanted to control us. Tradition told us that serpent wisdom is evil and there is something wrong with gaining knowledge ourselves. It is time to see this clearly for what it is and make a new, and hopefully rational, choice.

Why is the Astronomical Island called that? I wonder if it might refer to Ophiucus, the serpent bearer. This 13th sign of the zodiac was suppressed when the solar cult gained dominance.

Kepler's depiction of Ophiucus

Kepler’s depiction of Ophiucus

Compare Ophiucus with Lilith who was reborn in the 80s in the form of Nastassja Kinski and the Serpent:

Lilith by John Collier (1892)

Lilith by John Collier (1892)

The Hebrew term Lilith is translated variously as “night creature”, “night monster”, “night hag”, or “screech owl” and is identified as a female demon. In Jewish folklore, Lilith was Adam’s first wife, whom God created at the same time as Adam. The literal First Lady as it were.

This contrasts with his second wife Eve, who was created from one of Adam’s ribs, a subservient role. The lunar serpent wisdom was suppressed and twisted by a misogynist patriarchy who sought to eclipse the old ways with a Sun/Son cult. I wonder if Ophiucus was really Lilith but it’s been so long that we have largely lost the plot?

I published this image in Quantification

"Thirteen Moons"

“Thirteen Moons”

…and this is an excerpt from my write up about the image:

We reach sexual maturity around 13 years of age and women have on average 13 menstrual (or Moon) cycles a year. Human biology therefore harmonizes with a 13 month calendar so our 12 month calendar keeps us off balance. The suppression of the feminine is correlated with the solar calendar and a cultural fear of the number 13, called triskaidekaphobia. This phobia manifests in the common architectural practice of skipping the 13th floor in multi-level buildings, the irrational fear of Friday the 13th, and the fact that 13 witches are said to make a coven. I say bring back the 13 moon calendar and restore balance to the force!

We seem to do a lot of things backwards such as celebrating New Year’s in the dead of winter and marking off a new day in the middle of the night.

The major axis of Cergy points not to central Paris but to a site on the outskirts called Project Balard. In fact Cergy points directly to what has been called, “The French Pentagon” because it is the new 1.08 billion Euro armed forces headquarters. The French Army, Navy and Air Force will all be led from a “pentagon” that is actually a hexagon. 5 and 6 all over again.

French Pentagon is actually a Hexagon

The French Pentagon is actually a Hexagon

“The idea of a central hexagon that would point out in six different directions to form small islands of buildings…came to me at the end,” said its architect Nicolas Michelin.

The design of Project Balard is especially resonant with the shape of France which has long been compared to a hexagon. I made this graphic:

"L'hexagone"

“L’hexagone”

The woman on the flag of the French Republic is none other than Isis/Lilith, her spine aglow with serpent wisdom. How you see the goddess of nature is a choice that is up to you.

Twthmoses CC BY 2.5

Dendera Light, birthplace of Isis – Twthmoses CC BY 2.5

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