Measurement message

Measurement Message from Altamira 11,000 B.C.

Measurement Message from Altamira 11,000 B.C.- Under the name Cave of Altamira 18 caves are grouped together northern Spain. They represent the apogee of Upper Paleolithic cave art in Europe. This was between 35,000 and 11,000 years ago (AurignacianGravettianSolutreanMagdalenianAzilian). Collectively, the caves were designated as a World Heritage Site by the UNESCO in 2008.

La Pasiega-Galeria A-Ciervas (panel 22).png
Measurement message of the primary cave of Altamira in its overall rectangular outline.

The Painted Hall of the Altamira Cave houses houses a prehistoric gallery. It was discovered in 1868. Since then, the floor has been lowered. This was to study the painted animals on the low ceiling at the time of the discovery. The floor measures 60 feet in length to 30 feet in width. My source for the dimensions is The Atlas of Legendary Places by James Harpur and Jennifer Westwood.  The  12″ foot  is the intended unit of measure. In fact, this now called “English” foot dates back to an indeterminable distant past. At the British Museum you can find several examples of a cubic inch of gold. It was the standard of weight ancient Greece, Babylon, and Egypt. Here’s how a segmented foot appears on the cube:

  • A cube has 12 edges.
  • Twelve edges of one inch per side =  12″= 1 foot.

 Measurement Message from the 60 x 30 foot foundation of the Painted Hall

Image result for Wiki commons painting from the Altamira Cave
Great hall of polychromes of Altamira, published by M. Sanz de Sautuola in 1880.
  • Musicians will most likely notice the 2 to 1 ratio of the floor’s proportions. These same proportions  were recommended by Pythagoras. 10.500 years later this Greek philosopher stated the same ratio, after the unison, was most harmonious : The perfect interval of not the same tone (unison) and 1st overtone is the octave. It vibrates in a 2:1 ratio. The designers of the cave exhibition most likely knew this.

1:1 (unison),

2:1 (octave),

3:2 (perfect fifth),

4:3 (perfect fourth),

5:4 (major third),

6:5 (minor third).

 

  • Its measure is the product of basic consecutive numbers.  5 x 6 = 30 (the width in feet). 3 x 4 x 5 = 60 (the length in feet). Very important: The formula for the megalithic yard uses all fives and sixes: (5 x 6)  ÷ ( 5 + 6) = 2.727272… One megalithic yard is 2.72 feet.  The builders of the Great Hall of Altamira knew this.
  • 2nd factor uses 3,4,5 as 3 x 4 x 5 = 60. Numbers 3, 4 and 5 are the basis of the Pythagorean Theorem: 3² x 4² = 5². Also, look at the musical intervals above. These 3,4, and 5 factors figure into these basic harmonious intervals: 4:3 = perfect fourth. 5:4 = the major third.

Megalithic Measure Survives in Unexpected Ways

Marduk and His Temple are a Billboard for Measure

 

  • The diagonal of the 30 x 60 rectangle would be 67 feet. The perimeter around this  first  half triangle is :30 + 60 + 67 = 157 feet. This figure (157) is one half of the pi figure of 314 made by the triangles made from a diagonal in a rectangle.

Conclusion: The wisdom of a lost civilization is preserved in measure at the Cave of Altamira. Perhaps the builders and artists were the survivors of Atlantis?  Measurement message and music message are there. Of course, that the advanced artwork is there is a given!

 

common musical geometrical ratios

Common Musical Geometrical Ratios

Common Musical Geometrical Ratios. First, what is a ratio?

common musical geometrical ratios
Ratio example of intervals that make a perfect musical fourth.

Musically, in the diagram above: Every time a higher tone vibrates four times, the lower vibrates three. This creates the sound of a perfect fourth. All the perfect intervals and most harmonious tones of nature can be found at a bowling alley. Also, in the link below I explore the ratios of 6 to 5 found at Atlantis.  The size of an interval between two notes may be measured by the ratio of their frequencies. When a musical instrument is tuned using a just intonation tuning system, the size of the main intervals can be expressed by small-integer ratios, such as:

1:1 (unison),

2:1 (octave),

3:2 (perfect fifth),

4:3 (perfect fourth),

5:4 (major third),

6:5 (minor third).

Below are the only the Perfect Intervals found by bowling pins in an alley

  • The unison becomes the single, front standing pin.
  • The perfect octave is the 1st pin divided by the 2 pins in the 2nd row: 2:1 is the higher octave.
  • A perfect fifth is the ratio of the 3 pins in the third row divided by the two in the second: 3/2.
  • As mentioned, the 4 divided by the 3 makes the ratio of the perfect fourth.
 Ratios are often used to describe other items as: The ratio of width to height of standard-definition television.

In mathematics, a ratio is a relationship between two numbers indicating how many times the first number contains the second.[1]

Common Musical Geometrical Ratios of 5 and 6 were used by Atlanteans!

Clues about Atlantis are also found in the Temples on Malta
The ratio of the minor 3rd is 6 to 5.  It was the basis of a multitude of ancient measures. Read the internal link about Atlantis.  One of my books, The Ancient Engineers’ Philosophy: The Pinnacle of Thought in the Unified Culture of Ancient Builders, is placed in a triangle at a temple in Malta built circa 3500 B.C.

 

Clues in the Search for Atlantis Come With # 5 and #6.

When it comes to music, Atlantis lives!

Plato wrote of Atlantis in Timaeus that numbers 5 and 6  were prominently featured: People were gathered every 5th and 6th years alternately: Thus giving equal honor to odd and even numbers. The gathering of the population was for judgement and atonement.

Image result for free picture of Plato

 

measurement overview

Measurement Overview by the Traditional 3 x 3 Square

Measurement Overview by the Traditional 3 x 3 Square. This simplest of number squares has an infinity of hidden number codes. I currently have some 535 posts on DSOworks.com. They are divided primarily between music and this simplest of of ancient number squares.  Of course, music and measure overlap. With so many blogs, perspective is difficult. Who has the time to even quickly glance at so much material? The purpose of this blog is simply to provide a measurement overview of the source of measures. A few of the hidden codes are in this internal link.

Artist's reconstructed Troy in Turkey in our measurement overview
Overall rectangular part of Troy is 220 megalithic yards x 165 megalithic yards.  It traces back to the 3 x 3 number square.
  • With Troy, here is the computation. Follow the numbers on the square.  43 + 67 = 110. Backwards 34 + 76 = 110. Total is 220. This works with any opposite columns of two numbers.  Megalithic yards were assigned to this number. It defines the length rectangular part of the citadel.
  • Next, take two numbers at the time again as follows. Watch the number square with three pairs of numbers. 49 + 35 +  81 = 165.  Take them in reverse: 94 + 53 + 18 = 165. It works the same way if you work the numbers horizontally.

Tens: Here’s the Formula on How Tens Grow into Infinity

Both actual measurements of ancient sites and units of measurement came from the 3 x 3 number square. It was once the backbone of a civilization that was destroyed by a cataclysm. A Golden age of peace and plenty once marked this time. Perhaps it is time to return to a Golden Age guided by a simple number square?

Golden Age (disambiguation) – Wikipedia https://en.wikipedia.org/wiki/Golden_Age_(disambiguation)

 

Measurement Overview – a Partial List

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In a Golden Age the weaker and stronger peacefully co-exist.

Here a few of the measures mathematically derived from this number square. Review many of them on DSOworks.com. Type in the keyword.

  • Egyptian remen as 1.2165…feet.
  • Egyptian cubit of 1.71818…feet.
  • Egyptian cubit of 1.728 feet.
  • Royal cubit of 1.72 feet.
  • Foot of 12 inches.
  • Yard of 36 inches.
  • English furlong of 660 feet.
  • English rod of 16.5 feet.
  • Summerian inch of 0.66 inches.
  • Summerian cubit of 1.65 feet.
  • Masonic hundredweight of 112 pounds.
  • Old gemancer’s mile of 14,400 feet.
  • Shorter nautical mile of 6.048 feet
  • Jewish sacred cubit of 2.0736 feet.
  • Jewish sacred pace of 3.456 feet.
  • Chinese p’u of 14,400 feet.
  • Akbar’s yard of 33 inches.
  • Roman pace of 2.433 feet…………

The  list literally goes on and on. 

 

 

 

 

Characteristic cousins are the best way to describe these number squares

Characteristic Cousins are Found in Two Number Squares

Characteristic Cousins are Found in Two Number Squares. Number squares all have characteristic or featured numbers. The list below describes some of these.  First, consider the 5 x 5.

  • It is the sum of numbers 1 -25 = 325.
  • Any straight row of five numbers totals 65.
  • Any two opposite numbers equals 26.
  • The perimeter equals 208. The perimeter is the outside square casing.
  • The one central number is 13.

Now consider the larger 8 x 8 in the featured picture:

  • The sum of all the numbers 1 – 64 = 2080.
  • Any straight row of 8 numbers totals 260.
  • Any two opposite numbers = 65.
  • The perimeter equals = 910.
  • The four central numbers total 130

Mars and Mercury Are Characteristic Cousins by ancient  use of number Squares

Characteristic cousins
Picture source published on June 28, 2017 Conjunction of Mercury and Mars written by Oranum Psychic Togro

Somehow the 5 x 5 was attributed to Mars. The 8 x 8 called on Mercury. To us today, this seems mysterious.

 

Characteristic Cousins All Over the Place

Zero was considered to be a synthetic number in antiquity. Read the internal link below.

Tens: Here’s the Formula on How Tens Grow into Infinity

With this in mind look at the common characteristic numbers between these two squares. First, I should mention they are both Fibonacci numbers: Five and eight are part of the series that grow by addition of consecutive numbers:  1,1,2, 3, 5, 8,13,21,34… etc. Hence, their number squares also belong to this same  series. These number squares defined key ancient buildings. For this post let’s look some of the common numbers:

  •  On the 5 x 5 any straight row of five numbers totals 65. On the 8 x 8 any two opposite numbers = 65.
  • On the 5 x 5 any two opposite numbers totals 260. On the 8 x 8 any row totals 260.
  • The central number on the 5 x 5 is 13. The perimeter around the 8 x 8 is the sum of the numbers 1 through 13   =91 and then  multiplied by 10.  It duplicates becomes the total of the 910 perimeter around the 8 x 8.

The point is: The designers of Stonehenge and the Great Pyramid both knew and drew on this. More in future posts.

 

Sacred Engineers Philosophy- what I learned of antiquity on this lake

Sacred Engineers Philosophy was written on Oquaga Lake

Sacred Engineers Philosophy was written Oquaga Lake. It is located in New York’s Catskill Mountains.  Many people authored books with the background of mountains in New York. Washington Irving was among them. He wrote The Legend of Sleepy HollowWashington Irving (April 3, 1783 – November 28, 1859) was an American short story writer, essayist, biographer, historian, and diplomat of the early 19th century. Irving is best known for his short stories “Rip Van Winkle” (1819). He also wrote “The Legend of Sleepy Hollow” (1820).  Both of  appear in his collection, The Sketch Book of Geoffrey Crayon, Gent.

“Sleepy Hollow,” by Will Moses, on view at Sunnyside, Washington Irving’s former home.

The Catskill Mountains of New York  inspired me. They also gave me almost two decades of paychecks. This was as a piano player at Scott’s Oquaga Lake House. New York’s mountains talk to everyone who will listen. A wood carved sign at the hotel initiated my journey.  The sign was positioned over the lobby entrance at Scott’s Hotel. It read: Love is Spoken Here. My journey has so far lasted about 25 years. Several books including, The Oquaga Spirit Speaks, were written by me at this location. It is available thru DSOworks. At any rate, here’s the story:

Sacred Engineers Philosophy Introduction

My life was sent in an unexpected direction in the summer of 1994. The location was in New York’s Catskill Mountains. The resort was Scott’s Oquaga Lake House. I was “the house piano player.” Isn’t this slightly reminiscent of Scott Joplin’s type employment? But, it is not that kind of house. Rather, I accompanied various shows that came to the resort. Also, my wife and I did our own show. Lots of Broadway, of course.

Future Telling as per the Oquaga Spirit – DSO Works

I experienced sudden enlightenment at the resort. It happened in a flash.  In the spirit of The Legend of Sleepy Hollow a voice told me: “Look at the 3 x 3 number square more closely.” Suddenly, the dividing bars disappeared. I began reading the numbers in polarities. The polarities  were also in groupings of two and three opposing numbers. For example 49 + 61 = 110. Or 492 + 618 = 1110.   I then found the numbers behind the measurements of countless ancient structures. Most prominent was the Great Pyramid. See if you can find the number 440 in this manner. Each side of the of Great Pyramid is 440 cubits. I wrote the Sacred Engineers Philosophy as a result. Some countries still tune their musical  instruments  to A 440. If you can’t find it, look up posts on the Great Pyramid on DSOworks.com. You can find the answer.

Ancient Engineers Introduction- Their tool par excellence
This was known as the number square of engineers.

 

 

 

 

Buddhist Bodhisvatta Stages Parallel Tree of Life

Buddhist Bodhisvatta Stages Parallel Tree of Life. Pilgrims often scale the heights.  With the featured picture they are the Adirondack Mountain Club hikers atop Mt. VanHoevenberg.  I was just in the Adirondack Mountains. Schroon Lake Park is in the Adirondacks on a lake. The setting inspired me to write a poem about an abandoned amphitheater. I quote my internal link.

Amphitheatre in the Woods at Schroon Lake Park – DSO Works

Amphitheatre in the Woods
by David Ohrenstein

Amphitheatre in the woods
Remnants of long ago.
Concrete seats set by layers
All facing a roofed, staged show.

Buddhist Bodhisvatta it isn't, but these actors have an august mission anyway.
These actors have a calling for Shakespeare!

Now covered by pine cones and needles,
Encased by sand and dust.
Set in Schroon Lake Park:
A memento to the past, I trust.

The fun of another era
Is still tangible in the air:
Dancing the night away.
Amnesia to worry or care.

At times it imbibed the big band beat
With music under starry sky.
Cool breezes carried the tunes,
Accompanied by a buzzing fly.

A puzzle is soon put together
Of a past day and age.
The pieces form a picture
Of the ballroom dancing craze.

Will its glory ever return?
Can the cobwebs be cleared away?
Will quality entertainment now past
Return for another stay?

 Buddhist Bodhisvatta offers another type of journey

Another type of journey is seeking  truth. That also comes in stages.  Like hiking, markers are often set along the path. Significant in this regard are  the ten stages of the Buddhist Bodhisvatta.  They parallel the 10 stages depicted by emanations on the Hebraic Tree of Life. This will also be the subject for future blogs. I quote my book of poetry. The poem is called Get Thee a Walking Stick.  The book is entitled, The Oquaga Spirit Speaks. Oquaga Lake is in the Catskill Mountains.  I worked there many summers as a piano player. In this quote the spirit offers a suggestion on how to find happiness:

“If it’s life you wish to live and enjoy it to the marrow,
Then get thee a walking stick and hear the morning sparrow.” 

 

bodhisattva according to Buddhism is a Buddhist who has attained enlightenment. Also, in selfless act, this person delays his or her entry to Nirvana (non-existence). This is for the sake of others. Note that the Tree of Life also has 10 emanations. A great unity is shared by nations around the world. When this is emphasized, the result is peace and plenty.

Oquaga Spirit Speaks

$7.99       Oquaga Lake is located up the mountain from Deposit, NY in the foothills of the Catskill Mountains just across the border to Pennsylvania. This spring-fed lake is rated one of the cleanest in New York State. At points it’s  over 150 feet deep.  The lake’s diameter is about a mile across. Overall, its outline resembles a bear.

 

Synergetic discovery

Synergetic Discovery Between a Pyramid and an Octagon

Synergetic Discovery Between a Pyramid and an Octagon. The featured picture uses octagons. Their synergy parallels the synergetic behavior of the hexagon and tetrahedron.  First, to define the terms: Synergy, Pyramid and Octagon. For my reference I quote Buckminster Fuller. His book is Synergetics: Explorations in the Geometry of Thinking.

Synergetic discovery
The behavior of the octagon and square base pyramid parallels that of the hexagon and tetrahedron.
  1. Synergy: 101.01 is the “Behavior of whole systems unpredicted by their parts taken separately. “
  2. Syneretics 108.00- Four Triangles out of Two. Synergy acts on the transformation of the hexagon into a 6-sided tetrahedron. In nature the six sided hexagon (two open ended triangles) synergetically transform into the six-edged tetrahedron.
  3. Parallel between the square based pyramid and the octagon. A square based pyramid (like the Great Pyramid) has 8 edges. The octagon has 8 edges. The pyramid holds a total of 1080°.  The square base has 360 °. Its 4 triangles total 4  x 180° = 720° . The octagon, be it regular or irregular, also has 8 vertices with a total of 1080°.
  4.  Here’s the parallel between my synergetic discovery in #3 with Fuller’s in #2.

 

Image result for wikipedia picture of a tetrahedron
The six edges of a hexagon become the six edges of a tetrahedron.

As the six edges of 2 open ended triangles become a tetrahedron; Two open-ended squares can become a squared based pyramid. What practical application can this have? Many books have been written about the beneficial effects of the pyramid. These include:

Amazon.com: Mother Ship Pyramid: Health & Personal Care

Pyramid Shape Power as a New Halal-compliant Food Preservation …

The Secret Power of Pyramids (9780449132739): Bill Schul: Books

Synergetic Discovery

What ever beneficial effects the 3 dimensional pyramid may have, the two dimensional octagon should also  have the same effects.  As two open ended triangles can converge to form a tetrahedron, two open ended squares can converge to form a pyramid. I have a number of blogs about Buckminster Fuller. Below are a couple of internal links. Geometry can be applied to benefit our daily lives.  I think the octagon pyramid parallel is original with myself- Though I am not positive. Feel free to share.

Buckminster Fuller Archives – DSO Works

R. Buckminster Fuller, 1895 – 1983 | The Buckminster Fuller Institute

 

 

Image result for wikipedia picture of a square based pyramid

Pairing contrasting numbers of the lily and the rose

Pairing Contrasting Numbers -Five with Six.

Pairing Contrasting Numbers -Five with Six.  I’ve blogged about fives and sixes. One of my internal links is given below. The theme was five is yin.  Six represents yang. In ancient measurement they were used  together.  Many ancient, universal measurements can be recreated with these numbers. The 5 petaled  rose was always thought of as yin. The six petaled lily was the yang counterpart. If you learn how to read numbers, surprising conclusions can be reached. One, for example, is  the existence of a pre-Genesis citadel in Mexico. It is connected to the ancient word, “emesh“. That words implies existence before Genesis (see below), Roses and lilies have strong symbolism. They partake of pairing contrasting numbers. John Michell offers a great introduction to 5’s and 6’s his book, City of Revelation. Since his publication, I’ve discovered how other measures of antiquity use five and six. A list is offered below.

Image result for picture of author John Michell

  • Five represents the strong petals of the rose. It has 13 weaker petals.
  • Six represents the petals of a lily.

Pairing Contrasting Numbers of Five and Six in Prehistoric Times

  • Five has historically been the number of humanity. It is the core number of the ratio called “phi”. [1] It favors ratios of life including those found throughout the human frame.
  • Six was associated with inanimate nature, like the snowflake:
Image result for picture of Wikicommons of a hexagon snowflake
Snowflakes partake of the hexagon.
  • Five was thought of as the footprint of the pentagon.
  • Six was the symbol of the hexagon
  • Thus. five was considered yin. Six was thought of as yang.
    1. 6/5 = 1.2  This approximates Egyptian remen which is 1.2165… feet .
    2. 6 x 5/6 + 5 = 2.727272…A megalithic yard is 2.72 feet.
    3. 6 x 6 x 6/5 x 5 x 5 = 1.728. The larger Egyptian cubit is 1.728 feet.
    4. 6²/5² – 1.44. One hundred and forty four is a Fibonacci number.
    5. 6 x 6 x 6 x 6 / 5 x 5 x 5 x 5 = 2.0736. Approximates the Palestinian cubit of 2.107 feet.
    6.  (6 to the 6th power)  / (5 to the sixth power) = 2.979…This is close to the three feet of the English yard.
    7. Very important for Central America and the Mexican Pyramid of the Sun: The key unit of measure was the “hunab.” (See Peter Tompkins Mysteries of the Mexican Pyramids). The hunab is 3.41 feet. Again, the invaluable fives and sixes: (5 x 5 x 5) + (6 x 6 x 6) = 341. I took this information from my previous blog called “Measure Proves a Pre-Genesis Citadel in Mexico.”
    8.  341 refers to world before Genesis. Here’s how: The name of the pre-creation God was Emesh  אֶ֣מֶשׁ: “Laban said unto Jacob: The God of your fathers, Emesh, said to me…” In Hebrew “Emesh” literally means “yesternight.” Reference Genesis (31:29). Letters doubled as numbers in middle eastern languages. There were no separate numbers apart from letters. Below  are the letters in Hebrew with their representative numbers of emesh.

אֶ֣מֶשׁ – Alef = 1; Mem = 40; shin = 300. Total is 341.  אֶ֣מֶשׁ- Also, the three Hebrew letters of  Emesh  are the the “mother” of all the Hebrew letters.

Balanced Measurement Historically by Fives and Sixes – DSO Works

Silbury Hill

Silbury Hill In England Tells Quite a Story by Measurement

Silbury Hill In England Tells Quite a Story by Measurement. How can you tell a story by measurement? At one time letters doubled as numbers. One symbol could represent both. This was called gematria– a Greek word. Numbers then can be understood as words, or even concepts.  Several monuments were built around  Avebury  in Wiltshire.  Silbury Hill was built as a  landmark Neolithic monument.

Image result for map of Silbury Hill
This famous hill is certainly a wonder of the ancient worlld

The hill has a unique latitude location: Divide the northern hemisphere into seven equal segments:

  • Karnak is found on the 2nd division.
  • Delphi on the third.
  • Silbury hill is on the 4th.
  • Its exterior angle, in turn, has the same latitude as the Gizeh plain. That is the location of the Great Pyramid

The  hill was developed in stages, over hundreds of years.  My primary source was Stonehenge and its Mysteries by Michael Balfour, Charles Scribner, NY, 1980. Much is also available on line:

Image result for picture of book Stonehenge and its Mysteries by Michael Balfour
This book also discusses Silbury Hill.
  • . Currently it forms a perfect circle. The diameter is 550 feet.
  • It was also originally a circle.  This was the 1st phase. The diameter was 120 feet. Circumference was 377 feet.

How Can these Silbury Hill Numbers Be Read?

Image result for DSOworks.com pictures of the 3 x 3 number square
The Master Code for Ancient Civilizations is Here

Our little “grain of mustard seed” has countless hidden codes. It has the potential to revive a Golden Age of Peace and Plenty. The hidden codes frame the Fibonacci series by sequences of fives. This smallest of number squares (3 x3) gives birth to the series. Next, here’s how 377 is a Fibonacci number. The series begins: 1,1,2,3,5 (the first number out of consecutive number sequence), 8,13, 21, 55, 89, 144, 233, 377, 610… Please note the Beethoven internal link. Beethoven uses the 377 as a sectional group of measures. The original circumference of Silbury was 377  feet.  With Beethoven, it is found in his Fifth Symphony. He deliberately made the opening 5 measures long. Usually musical thought comes in multiples of 4 bars.

Beethoven: His Fibonacci Fifth – DSO Works

{\clef treble \key c \minor \time 2/4 {r8 g'8[ g'8 g'8] | ees'2\fermata | r8 f'8[ f'8 f'8] | d'2~ | d'2\fermata | } }
Note the usual 4 bars, almost always used by composers of music,  becomes 5 bars in the hands of the Great Master, Ludwig van Beethoven!
.

Tens: Here’s the Formula on How Tens Grow into Infinity – DSO Works

Also be sure to read the above 2nd internal link. You’ll discover how repeated fives take hold of this number square by opposite pairs of numbers.

Back to Silbury and its original diameter: You can find 15 in  8 distinct straight line totals:  3 are vertical. 3 are horizontal, 2 are diagonal. 3 + 3 + 2 = 8. Next, the product of these eight:  8 x 15 = 120. The diameter of the 1st phase of the Silbury Hill was 120 feet.

The Next Phase of Silbury Hill also Draws on the 3 x 3 Number Square

Land ahoy! The expert a claims southern Britain was a series of islands linked by waterways, channels and swollen rivers, and that Stonehenge was effectively located on the coast. The mound (pictured) would have acted as a lighthouse and harbour for those travelling by boat

Finally,  the 2nd phase has a diameter of 550 feet. Like, I stated, repeated fives are part of a hidden code. The code is amply described in many of the 510 posts currently on DSOworks.com. That makes a circumference of 1728 feet. Note in the picture below how 1728 was traditionally used on the number square. This square has been historically divided into a 4 number corner: The left over 5 numbers was called its gnomon. Below is strong connection between the Great Pyramid and Silbury Hill. The circle around the truncated Great Pyramid and its mirrored underground image is 550 cubits. The circle around this diameter is 1728 cubits. The numbers employed by the Great Pyramid and Silbury Hill are the same. An illustration of the gnomon and corners used by both structures is given below. Incidentally, the corner numbers multiplied approximates the Palestianian cubit of 2.107 feet. 5 x 7 x 6 x 1 = 210. The larger Egyptian cubit is 1.728 feet. Again, this measure comes from the 5 numbered gnomon. Silbury Hill and the Great Pyramid were both built developed primarily to illustrate the various ways the 3 x 3 number square can be used.

Mirrored pyramid is implied by the Great Pyramid of Egypt.

 

 

 

Interrelationships of math and gepmetry appear at the Great Pyramid

Interrelationships of the Past Crossed Disciplines

One source is the stamping mill that makes our Universe: That is the traditional 3 x 3 number square pictured below.

Interrelationships of the Past Crossed Disciplines. Numbers were an ancient reasoning tool.  Ancient philosophers and priests used common numbers to emphasize similarities. This blog simply illustrates one example: How Great Pyramid and the Platonic solids use the same numbers. I’ll walk my reader through the meaning of two diagrams.

Platonic solid transformation is by numbers.#1 = tetrahedron. #2 = cube. #3 = octahedron. #4 = dodecaedron. # 5 = icosahedron.

First: The dimensions of the Great Pyramid. Its essential dimensions are: Square base is 8 x 8 great cubits. The four triangulated faces peak together at 5 great cubits: Note-

  • The base is square. It measures 440 shorter  Egyptian cubits of 1.71818..  feet on each side.
  • One Great Cubit is 55 of such smaller cubits.
  • The Great Pyramid measures 440 cubits or 8 such great cubits on each side.
  • The truncated height is 275 of these smaller cubits.
  • By great cubits this becomes 5.

Next we turn our attention to the 5 solids. First, 5 is the key number for both: The Great Pyramid has 5 faces. There are 5 Platonic solids.What is the source of  five? It is not an arbitrary number. Look at the 3 x 3 number square. Five is at its core. Very important: Interrelationships are deeper than they appear on this number square. Through opposite polarities they go to infinity! One example is in the next paragraph.

Interrelationships here is the ancient source.
This code demonstrates the inner workings of the Great Pyramid and the Platonic Solids.

I mentioned each side of the Pyramid is 440 cubits. Where is 440 n this number square?  For this I must credit an Indian spirit I believe to be from the Lennie Lenape tribe. I spent many summers on Oquaga Lake.

Image result for picture of Oquaga lake
Oquaga Lake is where I worked as a professional pianist. I played many shows in the large, white building at Scott’s Oquaga Lake House. It is full of fun, wonderful memories and stories.

Interrelationships Galore

Take the numbers around the perimeter. Add them two at the time as follows: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 = 440. It is the same forwards or backwards. Each side of the square-based Great Pyramid is 440 cubits. It’s the numbers that are important: Ancients of varied civilizations attached their own units of measure to these key numbers. What was the primary reason the Great Pyramid was built?

  1. To illustrate every way the 3 x 3 square can function.
  2. With this knowledge, a new Golden Age of Peace and Plenty can be implemented 

Next, look at the illustrations of the Platonic solids. Vertical column one (on the left) totals the features each solid.  Each of the five has its own horizontal column. This shows the added horizontal values. Here is the total number of faces, corners and edges for each solid. In other words, the topology.

  • The tetrahedron has 14.
  • The cube has 26.
  • The octahedron has 26.
  • The icosahedron has 62.
  • The dodecahedron has 62.

This information can be found in standard textbooks on geometry. Next the chart reduces these topology numbers as follows:

  • Fourteen: 1 +4 = 5. This is for the tetrahedron.
  • Twenty-six: 2 + 6 = 8. This applies to the cube and octahedron.
  • The third different number is sixty-two.  6 + 2 = 8. This applies to the dodecahedron and icosahedron.

We thus see four eights and one five. That duplicates the four-square base of 8 Great Cubits on each side and the pyramid’s height of 5 Great Cubits.

Image result for picture of Oquaga lake
The pot of gold at the end of the rainbow on Oquaga Lake holds knowledge.