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.

 

 

 

 

Artistic Dozen

Artistic Dozen Stems from a Well Known Model

Artistic Dozen Stems from a Well Known Model. It is called the 3 x 3 number square. This square has been the subject of many blogs on DSOworks.com. This compartmentalized square, together with its numbers, provides a  pattern for several artistic models:

  • The 6 warm and 6 cold colors on the color wheel.
  • The basic 6 sharp and 6 flat key signatures of the musical Circle of Fifiths. .

Artistic Dozen Crosses Over t0 Architecture

Holy sites, temples and town squares were built using measures it holds by opposite polarities. Professionally I am a composer, arranger and pianist. Recently I gave a concert in Circleville, Ohio. I was overjoyed to see the former location of one such site:

Mysterious Diameter Measure at the Hopewell Circle – DSO Works

In the link  above, I explain how the number square applies to an ancient American Indian site.  To do this, the post explains one of the number square’s hidden codes.   No #1100 seems be on the square. That is because you must work its polarities.

Guess where it is hiding? This American Indian site is circular. It partakes of diameter of the 1100 diameter by feet.

The 3 x 3 number square explains where 1100 comes from. This square of numbers was the guiding vision of a universal, lost Golden Age. Its 12 struts offered structural framework. Many of these civilizations had a 12 tribe structure.  The numbers, together with their countless hidden codes, explain so many questions that seem unanswerable. The books of John Michell covers the universal 12 tribe aspect.

John Michell – Wikipedia

Mysterious Diameter Measure at the Hopewell Circle – DSO Works

The Artistic Dozen for the Color Wheel

  • Three Primary Colors – Red, Blue and Yellow. …
  • Three Secondary Colors – Orange, Green, and Violet. …
  • The remaining six, Intermediate Colors – Blue-Violet; Red-Violet; Red-Orange; Yellow-Orange; Yellow-Green; Blue-Green.

Next, the Music

Image result for picture of the 12 basic key signatures
Looks like 14 key signatures, Because of enharmonic keys, there are really only 12. Two sets have two names: F# and Gb are played on the same piano keys. Db and C# are also played on the same keys. . Thus,  14  – 2 = 1

Artistic Dozen – Here is its Source:

Artistic dozen is structure by a number square
The numbers give specific meaning to the 12 struts of this number square.
Four lines are trisected to create 6 horizontal and 6 vertical line segments. These become the 6 positive and 6 negative forces or groupings. They give structure to our thoughts, our history and the Universe. Filled in with numbers, they offer specifics.
Binary Code discovered on Oquaga Lake

Binary Code and Perfect Numbers on Tree of Life

Binary Code and Perfect Numbers on Tree of Life. I learned of  this on Oquaga Lake.  First of all, perfect numbers are few and far between. Six is the first such number. Then comes 28, 496, 8128 and 33550336. If you take these lower perfect numbers to the 10th power, you get squared, higher perfect numbers. Then, these perfect numbers can be expressed in binary fashion: They display ones and zeros. See examples below. In number theory, a perfect number is a positive integer that is equal to the sum of its proper positive divisors . This excludes the number itself. Also below is an illustration of how six is a perfect number.

 610 = 1102
2810 = 111002
49610 = 1111100002
812810 = 11111110000002
3355033610 = 11111111111110000000000002.

File:Perfect number Cuisenaire rods 6.png

High Perfect Number in Ancient Times – DSO Works

Binary Numbers Abound on the Tree of Life

Two perfect numbers are easily found on the Tree of Life. The circles are called emanations. Look at numbers 6 and 10 on the central pillar picture below.

  • The heart of the Tree is emanation “6”.  Six is  1st perfect number.
  • The name of emanation 10 is Malkuth.  What is relevant here is the name of this 10th emanation. This is because in Hebrew letters doubled as numbers. The name for this occurrence is gematria. It is a Greek word. The Hebrew letters of Malkuth equate with  496:  The mem = 40. Lamed = 30. Kuf = 20. Vav = 6. Tet = 400.  Add them as 40 + 30 + 20 + 6 + 400 = 496. Also, when you take the perfect numbers to the 1oth power, you get the squared version expressed by ones and zeros. See illustrated above. In this way 6 and 496  binary potential. This trait is shared by all perfect numbers.

Image result for spelling in Hebrew letters of Malkuth
Emanation 10, spelled with Hebrew letters equals 496. That is the 3rd perfect number in the series. i.e: 6,28, 496.

Finding More Binary Expressions on the Tree of Life

Opposite polarities, as follows, total 1100. Take the two outside pillars. Look at the numbers 3 at the time. Reverse their polarities as follows: Left pillar = 358. Right pillar = 742. Next add them as 358 + 742 = 1100. This figure balances binary by two positive (1)  and two negative (0) glyphs. Reverse this pillar multiplicity as 853 + 247. You get the same total- 1100. This number becomes the gateway to the Tree of Life.

Where Else is the 1100 Binary Code Found?

1100 gives expression to a lost antediluvian binary code. It once structured a Golden Age. The code is still common around the world. However, very few know how to read it. It is called the 3 x 3 number square. 440 and 660 are prominent in this code. They total 1100. Below is the picture with the  source for the Tree of Life. These numbers are on any of the 7 solutions. The bottom displays the traditional.

Image result for picture of a 3 x 3 number square on DSOworks
Finding the 1100 code on the Tree of Life at its Source.

Add the numbers around the perimeter. Do it two at the time overlapping as follows: 49 + 92 + 27 + 76 + 61 + 18 + 83 + 34 =440. For the 660 do the following. Add the numbers in groups 2 as follows: (49 + 61) + (35 + 75) +( 81 + 29) = 330. Each subgroup totals 110. Using the same method of addition, do it vertically. You also get 330.  Add the two: 330 + 330 = 660. Finally, add 440 + 660 = 1100. Here’s the icing on the cake: The Tree of Life and the Great Pyramid demonstrate various ways the 3 x 3 number square works. Music is based on the interval of a perfect fifth. It is also born of this number square: E=660 v/s.  A=440 v/s. The notes of the perfect fifth vibrate in this 3/2 ratio. A number of posts on DSOworks.com describe the technique.

Where Did I Learn About This Binary Code? On Oquaga Lake

Image result for picture of Oquaga Lake
I sensed it was an Indian spirit around the lake of the Lennie Lenape tribe that taught me. I was the house piano player at Scott’s Oquaga lake House.
Image result for picture of Oquaga Lake
On countless Lakes in upstate New York, many sense harmonious, spiritual presence. Above is Oquaga Lake in Summer.

 

 

Cosmic eight

Cosmic Eight Unites Spiritual and Physical Realms

Cosmic Eight Unites Spiritual and Physical Realms. This statement implies numbers are the highest reality. This view is reminiscent of the ancient Pythagorean School. “Harmony of the spheres” was the name applied to this concept. [93]  It maintained that the planets and stars move according to mathematical equations. Ratios of these motions corresponded to musical intervals. Music was created by the motion of planets an inaudible symphony.[93]  . Music of the spheres usesmot only  harmonic, but also mathematical or religious concepts. 

Cosmic Eight Has a Special Place in Pool

Cosmic eight connects the physical with the spiritual.
Cosmic eight sits at the tip of an inner triangle. Numbers take on a life of their own in the game of pool.

The 1st and primary or strongest overtone is the octave.  Appropriately, Dr. Billiards gives a relevant demonstration of the nature of harmonics below. The note one octave higher (eight diatonic tones)  than the fundamental or primary note is the 1st overtone. You can hear its strength on the youtube demonstration.

 1:46
Piano string harmonics and chords
DrDaveBilliards
YouTube – Jun 1, 2007

So What are some examples of the Cosmic Eight?

  1. Eight numbers the measures in a phrase of music .
  2. It defines the fundamental overtone of music.
  3. Eight electrons in the outside orbital of an atom has greatest stability.
  4. At the Great Pyramid each side of the square based is 8 Great Cubits. A Great Cubit = 55 smaller Egyptian cubits (1.71818…) feet.
  5. One of the 5 Platonic solids is the cube. Eight corners give it definition. A number of holy sites were conceived as cubes.  A prime example is the Ka’aba of Islam.  Also, the back 3rd of the Temple of Solomon was  where the Holy Ark was kept. It possibly was cubic.
  6. Eight, as an octagon, is considered  to be a compromise between the circle and the square.
  7. The Hebrew verb for love is Ahav. Spelled with Hebrew letters. its gematria is eight. [אהב]. Gematria is the doubling of letters and numbers with the same symbol. Aleph is 1. Beis is 2. Hei is 5. Love, therefore, totals 8. Notice, Ahav’s 1,2, and 5 are Fibonacci numbers. God is love as John stated.  Why not call on our Creator as love, or the Hebraic Ahav?  Below # 8, & #9 are internal links on the subject.  My insights came in the mountains by Oquaga Lake pictured below. I was the house piano player at Scott’s Oquaga  Lake House. The lake was the former home of the Lennie Lenape tribe.
  8. Ahav, “love”, is a Signpost that Points to Wisdom – DSO Works

  9. Ahav Archives – DSO Works

Conclusion: “8” is where the spiritual meets the physical as depicted in the featured picture. It’s the point at which love and Creation meet. Isn’t this the best place to be?

Image result for picture of Oquaga lake
Oquaga Lake is the former home of the Lennie Lenape tribe.

Aquarian Number Square

Aquarian Number Square of Saturn is Being Activated

Aquarian Number Square of Saturn is Being Activated. Each planet has its own number square. This parallels each astrological sign being ruled by its own planet(s). Here is the traditional association:

  • 3 x 3 rules Saturn.
  • 4 x 4 is Jupiter.
  • 5 x 5 is Mars.
  • 6 x  6 rules the Sun.
  • 7 x 7 rules Venus.
  • 8 x 8 is Mercury.
  • 9 x 9 is the Moon.

The planet Uranus was discovered by William Herschel,  Date was March 13, 1781. Before then, Saturn was the sole ruler of Aquarius.

Nicholas Campion wrote a book,The Book of World Horoscopes.  It lists various references. These are about astrological sources for the start of the Age of Aquarius. Based on Campion’s research 29 “experts” claim it arrived in the 20th century.  The 24th century in second place with twelve claimants.[4]

The Book of World Horoscopes: Nicholas Campion

My conclusion as to the Aquarian beginning sides with the 20th century. Why? I was privileged to gain insights of the ancients into the 3 x 3 number square. It was of Saturn. The numbers interact in an infinite number of ways. It looks like the smallest number square. But, it is the largest due to interaction by polar opposites. Interaction is an integral part of love and brotherhood.

Aquarian Number Square of Saturn is to the Left

The musical Aquarius discusses the essence of this age:

Quarian number square
The Aquarian Number Square reveals its infinite codes for the Aquarian Age. It is of Saturn. See internal link below.
Aquarius/Let the Sunshine In
When the moon is in the Seventh House
And Jupiter aligns with Mars
Then peace will guide the planets
And love will steer the stars
This is the dawning of the age of Aquarius
Age of Aquarius
Aquarius
Aquarius
Harmony and understanding
Sympathy and trust abounding
No more falsehoods or derisions
Golden living dreams of visions
Mystic crystal revelation
And the mind’s true liberation
Aquarius
Aquarius

Weather Also Points to the Arrival of the Aquarian Age

 All the rainfall and flooding we are experiencing is in keeping with these astrological cycles: They divided this cycle into four quarters formed by signs of the Zodiac (Taurus, Leo, Scorpio and Aquarius). It took 6,500 years to pass through each quarter. They knew the biggest disasters took place at the summer and winter solstices of this cycle. It is claimed that glaciers melted due to global warming, the waters rose nearly 90 meters…

Tenfold is on a Tiny Number Square That Grows to Infinity – DSO Work

Professionally I am a piano player.  Many summers were spent with my family on Oquaga Lake. It is located by Deposit, New York, Location is just over the Delaware river.  I was the piano player at Scott’s Oquaga Lake House. The area was the former dwelling place of the Lennie Lenape tribe. I led many hikes through the Catskill Mountains. There, I sensed a female spirit’s presence. It communicated its knowledge of this number square.  Perhaps the 3 x 3 number square is merely the icing on an already served delicious, Aquarian cake?

Image result for pictures of Lenni Lenape Indians

 

 

 

 

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.

 

 

 

Perfect numbers in man and Genesis.

Perfect Numbers are Attached to People in Surprising Ways

Perfect Numbers are Attached to People and Civilization in Surprising Ways. First, what are perfect numbers? In number theory, a perfect number is a positive integer.  It is equal to the sum of its proper positive divisors.   Of course, that excludes the number itself. Look below. The 1st four perfect numbers are 6, 28, 496, and 8128. Euclid knew of these numbers. He generated the formula.

Euclid proved that 2p−1(2p − 1) is an even perfect number whenever 2p − 1 is prime (Euclid, Prop. IX.36).

For example, the first four perfect numbers are generated by the formula 2p−1(2p − 1), with p a prime number, as follows:

for p = 2:   21(22 − 1) = 6
for p = 3:   22(23 − 1) = 28
for p = 5:   24(25 − 1) = 496
for p = 7:   26(27 − 1) = 8128.
Perfect numbers become incredibly high quite quickly. The point is they are quite sparse in the number scheme. The first three (6,28 and 496) make surprising appearances. Let’s begin with number 28.

Perfect Numbers Explain the Use of the Lunar Calendar

It takes 27 days, 7 hours, and 43 minutes for our Moon to complete one full orbit around Earth. This is called the sidereal month. It is measured by our Moon’s position relative to distant “fixed” stars. However, about 29.5 days to complete one cycle from new Moon to new Moon. The average of the two lunar cycles is about 28 days. The solar days of the year are not a perfect number.  Human hands we have a  perfect 28 total. Explained in the picture below. 
Image result for picture of full Moon
Average of lunar cycles approximates 28 days.

 

The 5 fingers of each hand each total 14 joints.
The thumb has two sections, Each of the four fingers  have 3. Therefore 2 + (4 x 3) = 14. The joints of  left and right total 28.

The 10th Emanation on the Tree of Life Uses 496

 

In Hebrew letters doubled as numbers. The doubling of letters and numbers is still called by the Greek name, gematria. The Tree of Life has 10 emanations. They are represented by 10 circles.   The 10th is called Makuth. This translates to “Kingdom.” Malkuth has a gematria of 496. By using this 3rd perfect number (496), the  intent is that our Creator sought perfection in Creation. This word is used throughout the Bible.

Strong’s Hebrew: 4438. מַלְכוּת (malkuth) — royalty, royal power, reign …

perfect numbers
10th emanation (circle numbered 10 on the bottom)) is equivalent to 496. This is by the ancient rules of gematria.

 

 

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.