Octahedron Unifies Space Time in Ancient Cultures. It does so from an Earthly viewpoint. First of all, what is an octahedron? It is one of the 5 regular polyhedrons. The other 4 are the tetrahedon, icosahedron, cube and dodecahedron. However you view any one of them, it is totally symmetrical. . Together they are also called the Five Platonic Solids. How is the octahedron identified? By its number corners, edges and faces. It has the following:
These total 26 topological features. See the featured picture above
The octahedron has a non- identical twin brother (or sister). It is called a cube. They don’t look alike. But consider this. The cube has:
The twelve edges are the same in both. Whereas, the number of faces and corners trade places. They are as closely connected as twins. The octahedron pictured below contains a cube. The 6 corners of the octahedron have their points touching the center on the 6 faces of the cube. For that reason, they are called dual polyhedrons.
So How is it That the Octahedron Unifies Space Time?
Unfortunately, the Egyptian Library at Alexandria was burned down. Its wisdom describing prehistory was destroyed. Both the cube and octahedron were considered to be harmonious figures. This thought actually goes back to at least 11,000 B.C. Why harmonious? Because of the numerical relationship of its topology.
12 is one-third greater than 8
6 is one-third less than 8.
Eight is the number that defines the musical octave. That is the most harmonious and fundamental overtone of the entire overtone series. Guy Murchie thoroughly explains this in his two volumes of The Music of the Spheres.
How Does This Knowledge Date Back to Prehistoric Times?
The holiest sites of antiquity were designed as cubes or square base pyramids. The square base upright pyramid is found in the top half of the octahedron. Although the bottom half is not there, it is implied. As a cube, the Biblical Holy of Holies was set in back third of Solomon’s Temple. The total rectangular perimeter of the temple was 60 x 20 cubits. The 20 x 20 cubit back third becomes cubic. Also, the Ka-aba in Arabic literally means, cube.
Much of the world order of antiquity was destroyed. The cause was invaders from Afghanistan. The invaders were called Kurgans. Riane Eisler discusses this her The Chalice and the Blade.
What was the purpose of these Holy Sites? – To spread harmony and peace throughout the world. This was effected by their geometric harmony. Since many were destroyed, war has ensued. In unity we find peace. In division we find war. The octahedron unifies space time. It defines space as a geometric form. How does it define time? Each vertex of the regular triangles holds 60°. The 4 upper triangles of the octahedron have a total of 12 vertices. 12 x 60° = 720°. The lower 4 triangles total 12 vertices. They also total 720°. The upper 4 triangles represent the 720 minutes in 12 hours of daytime at the equinox. The lower 4 triangles represent 720 minutes contained in 12 hours of nighttime also marked by the equinox.
Conclusion: Look for harmonious models. Base civilization on these models. Peace follows. The ancients did in through geometry. The same can also help us today.
Musical Undercurrents Are About to Surface. The following sequence attaches itself to musical styles:
A style begins with the 1st generation.
The 2nd generation literally buries the style of the 1st. It has a new concept for music.
The 3rd generation of style buries the 2nd. It then resurrects the ideas from the 1st.
Here’s how it has worked in our western music history. Let’s begin with the Baroque Era:
J.S, Bach culminated the Baroque Era of counterpoint. It transitioned to a simpler style around 1750.
The Rococo era and early classical were the next musical trends. They used a melody and accompaniment approach. Simplicity was preferred.
The Romantic Era came with Beethoven’s middle and later works. This was after 1800. Bach, counterpoint and complexity came back into vogue.
Baroque Musical Undercurrents Resurfaced Romantic Era
In music, the BACH motif is the motif, a succession of notes important or characteristic to a piece, B flat, A, C, B natural. In German musical nomenclature, in which the note B natural is written as H and the B flat as B, it forms Johann Sebastian Bach‘s family name. One of the most frequently occurring examples of a musical cryptogram, the motif has been used by countless composers, especially after the Bach Revival in the first half of the 19th century.
How Do the Musical Undercurrents Apply to Today?
Either rap, puck and rock and roll have have been in the forefront of popular music from Elvis in the 50’s to the present time. This is about 65 years. It has outlasted the earlier Rococo and early classical styles of European western music. Inevitably, music with strong melody, like in the 1930’s, will resurface as a main thrust. Rhythm, of course, always must be there, regardless of style. Our new musical, Golden Roads, is avant guard in this respect. Yes, it also has the element of counterpoint. I say, welcome to another return of the Romantic Era.
Civilization Has a Key Number – Six Hundred and Sixty (660). It is mostly known as the number of feet in a furlong. In the featured picture distances for horses are usually marked by furlongs. A furlong is a measure of distance in imperial units and U.S. customary units equal to one-eighth of a mile, equivalent to 660 feet, 220 yards, 40 rods, or 10 chains. Six hundred and sixty also specifies a musical tone: Diatonic E in vibrations per second. Ancient instruments have been unearthed. We know how their tones vibrate.
In Civilization the Furlong and Farming Once Went Together With Racing Horses
Originally a furlong represented the distance that a team of oxen could plow a furrow (a long shallow trench in a field), on average, before they had to rest. This was also the length of an acre, which in Anglo-Saxon times was considered to be 40 × 4 rods (660 × 66 feet). A furlong appears to have been used as a horse racing measurement because in early days racing took place in fields next to ground that had been plowed. Therefore, the distance could be assessed quickly by comparing the racetrack with the number of furrows made in the neighboring plowed field.
Where Does Number 660 Stem From?
660 appears in two prominent ways. I was shown this by an American Indian spirit around Oquaga Lake. The poetry she spoke to me is below. When she made her introduction, our family was residing at Bluestone Farm. It said: “If you wish to know the secrets of antiquity, erase the lines on this number square. Read them by three or two numbers at the time. Do it as I will show you. At that time I was a full time pianist for the Scott family on Oquaga Lake
The same 660 can be reached with the double digit vertical totals when added in a similar manner.
660 is a Prominent Feature of the 5 Platonic Solids
The hidden 660 also runs parallel to the 5 Platonic solids. The core number is “5”. Of the solids, the tetrahedron has 4 faces. The cube has 6. An octahedron has 8 faces. The Dodecahedron has 12. The icosahedron has 20. Add them together by their squares: 4² + 6² + 8² + 12² + 20² = 660. If you studied the blogs, here is what becomes apparent: Neolithic priests knew the 3 x 3 number square as the stamping mill of the Universe.
Characteristic numbers where converted into set musical tones. Our A-440 comes also from this square. Add the perimeter two numbers at the time. Overlap them: 49 + 92 + 27 + 76 + 61 +18 + 83 + 34 = 440. Treating the numbers diagonally in the same way gives you the same total again. The ratio of the musical 5th for civilization is set out by this number square:
660/440 = 3/2 which is a diatonic fifth.
660 and 440 were made congruent with diatonic A and E by our ancestors.
Conclusion: Making our civilization harmonious was key to the founders of culture. The musical fifth is a “perfect” interval. Let us reinfuse our culture with “harmonious peace” as referred to by the Oquaga Spirit:
Melodies Linger and Last Like all Good Things. A pleasant memory always stays with you. So does a beautiful melody. Beautiful melodies give rise to whistling or even humming. The whistler feels the need to outwardly express the tune within. Now I ask my reader: When is the last time you heard someone whistling. When I grew up in the 1950’s everyone seemingly whistled. This was true at a bus stop, in a drugstore or just by random pedestrians. I would go so far as to even say that whistling is a sign of a happy civilization.
Rubinoff Fell in Love With Beautiful Melodies
The violinist I worked with, Rubinoff, (featured picture) was good friends with Irving Berlin. He met Irving Berlin at soirees given on Sunday evenings by Victor Herbert, then conductor of the Pittsburg Symphony. At the time, beautiful melodies captured the imagination of the American public (circa 1910). So did the new fad, ragtime. Comparing the two styles he told Rubinoff: “Ruby, melodic music goes from your head straight to your heart. Ragtime goes straight from your head to your feet”. Berlin and Rubinoff loved both typres of music. Rubinoff said time and time again about countless melodies: “That’s the most beautiful melody I ever heard.” When he saw a beautiful girl, he would say the same. Here is an excerpt of lyrics from a song by Irving Berlin that also expresses this dual love relationship. It is Berlin’s A PRETTY GIRL IS LIKE A MELODY
A pretty girl is like a melody
That haunts you night and day
Just like the strain of a haunting refrain
She’ll start upon a marathon
And run around your brain
You can’t escape, she’s in your memory
By morning, night and noon
She will leave you and then come back again
A pretty girl is just like a pretty tune
I was also told a quatrain on Oquaga Lake. It is from my poetry book, The Oquaga Spirit Speaks. The American Indians loved the lake. It is all about how in difficult and challenging times, melody gives a feeling of solidity.
Time is just like music Do not play too fast. Speed burns too quickly, While melodies linger and last.
Sing to the Lord all the Earth ref. Johannes Kepler. First of all, most of us have an idea about the Lord. Who was Kepler? Johannes Kepler, (born December 27, 1571, Weil der Stadt, Württemberg [Germany]—died November 15, 1630, Regensburg) German astronomer who discovered three major laws of planetary motion, The ones were will consider in are: Laws 2: The time necessary to traverse any arc of a planetary orbit is proportional to the area of the sector between the central body and that arc. It is known as the “area law.” Law 3: there is an exact relationship between the squares of the planets’ periodic times and the cubes of the radii of their orbits (the “harmonic law”). Harmonic? Does the Earth have song? Do we need a new song? The Psalms continually refer to a “new song.” If we do, what exactly is wrong with the old one?
Psalm 33:1-22Shout for joy in the Lord, O you righteous! Praise befits the upright. Give thanks to the Lord with the lyre; make melody to him with the harp of ten strings! Sing to him a new song;
Psalm 96:1 Oh sing to the Lord a new song; sing to the Lord, all the earth!
For the Earth’s musical motif as per Kepler, we have “Mi, Fa, Mi”. He stated this stood for “Misery, Famine and more Misery.” In this regard, the psalms are what we need. They can eliminate this condition. It would be a worthwhile undertaking to sing this new song. Enough negativity. Read the psalms and join the happy chorus in the featured picture! Best of the holidays from DSOworks.com Isaiah 42:10 – Sing unto the LORD a new song, [and] his praise from the end of the earth, ye that go down to the sea, and all that is therein; the isles, and the inhabitants thereof.
Spider, Surya Yantra and 3 x 3 number square. Symbols are imbued with power. The spider is highly significant in this regard. With its power, its bite can be anywhere from annoying to deadly. As a symbol it also is highly representative. Throughout history, spiders have been depicted in popular culture, mythology and in symbolism. From Greek mythology to African folklore, the spider has been used to represent a variety of things, and endures into the present day, It characterizes, among others, Shelob from The Lord of the Rings and spider man from the eponymous comic series.
The basic becomes the most complex. The cosmos, including the spider, grows out of this 3 x 3 grain of mustard seed.
On the Hebriac Tree of Life, the heart is Tifereth. The span of Tifereth is Paradise. Buddha made this construct into the Eightfold noble path. On a parallel note, at the embryo of the I Ching are eight trigrams. They, like the Tree of Life, are also arranged as an octagon around a center. I offer the following quotation below from my, The Staff of God Volume I.
SYMBOL OF THE SPIDER TRANSCENDS RELIGIONS
The eight trigrams were invented by the mytholoical emporer Fu-Hsi
His dates were from 2953-2838 B.C.
He was the 1st of the 5 emporers of China’s legendary period.
Parallel: At the center of 8 numbers on the square of three, sits number 5.
Emporer Fu-shi saw the I Ching marking on the back of a divine tortise.
Which is said to have inspired the 8 trigrams
On the tortise, dots replaced the numbers.
Dark dots were yin. Light dots were yang.
My thought is at one time in pre-history, knowledge of the 3 x 3 number square was more complete. Today, most are totally ignorant of its importance. It unified mankind. In this unity, peace was found. I hope we can restore this lost knowledge to bring about a new Golden Age. I think all of us deserve nothing less. Peace be with you.
Alchemists Looked to Neolithic Number Squares. Neolithic and even earlier Mesolithic builders took their inspiration from number squares. They placed their characteristic numbers into foundations. I’ve blogged about Lepenski Vir.Here is an excerpt from one:
Lepenski Vir is Proof of the use and understanding of an Ancient Number Square. A Mesolithic site on the Blue Danube used the codes of the square of three. Lepenski Vir (Лепенски Вир, Lepen Whirl) is an important Mesolithicarchaeological site located in Serbia in central Balkanpeninsula The latest radiocarbon and AMS data suggests that the chronology of Lepenski Vir is compressed between 9500/7200-6000 BC.
The entire foundation area is framed by a roughly rectangular shape frame of 185 x 55 yards. Over 1000’s of years the same dimensions have been used for many construction projects. Some examples:
185 yards equals 555 feet. George Washington’s Monument is 555 feet tall.
The blueprint of the Great Pyramid of Egypt dates back to 2,750 B.C. It is formed by interlocking two circles center to center. They each are 555 feet feet in diameter. Author John Michell wrote extensively about this subject. I was enlightened on the hidden codes on Oquaga Lake, not by John Michell, but by a spirit from the Lennie Lenape tribe on Oquaga Lake.
Here is some samples of how to find the 555 code: Take two sets of three opposite numbers. Add them together. Then divide them by two for an average: Examples are 492 + 618 = 1110. Divided by two = 555. Another example, 834 + 276 = 1110, Divided by two = 555. The middle 951 is added to itself backwards as 159 + 951 = 1110. Divided by 2 = 555. Ths simple number square is also the most complex. The builders of its ancient foundation in Yugoslavia totally understood this. Now for some mathematical fun:
ALCHEMISTS USED NUMBER SQUARES TO TURN LEAD INTO GOLD
Here’s what the alchemists thought of number squares and of this square in particular : (1) They unified all the sciences and arts. (2) They were thought to hold the elusive secret of turning lead into gold.
Each of the 7 known planets in antiquity was represented by the banner of a number square and a metal. Saturn’s was the featured 3 x 3 and metal, lead . The Sun was the 6 x 6 and gold.
The Sun, square (gold) totalled numbers 1 through 36. Add these numbers 1 + 2 + 3 …through 36. They total the Biblical 666. Saturn’s (lead) were 1 – 9. They total 45. This is 621 less than the other total However:
Let’s add the alchemical fusion of numbers to the square of Saturn. We will consider the numbers three at the time. This will be done vertically and horizontally.
(1) horizontally: 492 + 618 = 1110. 816 + 294 = 1110. Any number that crosses the cenral three at the time is its own number backwards. (This is so much like the triplet codons of the RNA-DNA code.) Thus, 357 + 753 = 1110, The horizontal total is 3330. Now let’s look at the vertical total:
(2) Vertically: 438 + 672 = 1110. 276 + 834 = 1110, 951 + 159 = 1110. The vertical total is 3330.
(3) Finally, add vertical and horizontal totals together as the alchemists did: 3330 + 3330 = 6660. Zero was a synthetic number in antiquity. It was formed by the combination of any two opposite numbers on the 3 x 3 square. The numbers on the square were the 9 prime numbers. Ten was a synthetic number combination as 9 + 1; or 3 + 7 etc. Ten was not an entity in and of itself. Thus, by the association with the not so obvious code of the square of three of Saturn; we have just equated it with the numerical properties of the square of the Sun by common number. We have just turned the lead of Saturn into the gold of the Sun. Most certainly, this is a wonderful symbolic thought. It is a refinement of baser qualities (lead) into higher and noble qualities (gold) .
Atlantean Leanings on the 3 x 3 Number Square. This will require many blogs. First, learn two hidden ways of reading this number square given below. Many of my blogs are about its codes. They extend to infinity. Atlantis and its history animates this square. Most obvious, King Uranus had 45 children by different wives. The totals the numbers of the featured square (numbers 1 thru 9). Ancients recognized not only the obvious code where any row of three totals 15, but two hidden codes. This gave rise to three centers and three perimeters. Notice, the illustration below has three land masses (centers) surrounded by three canals (perimeters). The obvious one is 5 surrounded by the 8 numbers that total 40. Here are two more:
View the square by 3 numbers at the time. Pair them by opposites. Also, any three numbers that cross the center is its own opposite number. Their sum is always 1,110. Example, 492 + 618 = 1,110. Or, 951 + 159 = 1,110. The center becomes 555. The four sides of the perimeter total 2,220.
View the square 2 numbers at the time by opposites. Any two numbers that crosses the center are paired in the same row. The sum is always 110. Thus, 49 + 61 = 110. Or, 35 + 75 = 110. The 110 can be pulled out of the square in 16 ways. Thus, 16 X 110 = 1,760. The center then becomes 55. It is surrounded by 440.
A map showing the supposed extent of the Atlantean Empire. From Ignatius L. Donnelly‘s Atlantis: the Antediluvian World, 1882.
Another demonstration of the square and Atlantis involves the Titans. There were 18 of them as opposed to 27 other children. Both totals demonstrate properties of the 3 x 3 number square. Let’s play tick-tack-toe: The length or width of the square is the length of 3 boxes. The diagonal becomes 1,412…. times longer than the length of any of the square’s sides. The length of the diagonal of a square is expressed by √2 x the length of a side. In this case, √2 x 3 = 4.24264…It just so happens that 4.24264…when squared equals 18. We have the 18 Titans. I’ve also blogged about how 18, and the entire number square structures the periodic chart. In the case of the present blog, it shows Atlantean mastery of the 3 x 3 square.
So Where are the other Atlantean 27 Children, You Ask?
The 3 x 3 magic square has three manifestations primarily used by the ancients. They are by ones, tens and hundreds. It takes three tick-tack-toe boards to define this characteristic. Thus 3 x 9 (boxes per manifestation) = 27. Watch for more blogs on Atlantis. Since this is my 250th blog, I felt it had to be special. Enjoy!
Mesolithic Times Had a Unique Standard. Where did I come this knowledge that few know about? I was the piano player at Scotts Oquaga Lake House. An Indian spirit guide that dwells around the lake instructed me in the ways of antiquity. I’m quite sure that those who read this blog will not be familiar with most of what they will read. The Mesolithic era began about 8000 bce, after the end of the Pleistocene Epoch (i.e., about 2,600,000 to 11,700 years ago), and lasted until about 2700 bce. At that time (2700 bce) it has been postulated that the Great Pyramid and Stonehenge may have been constructed. These structures code the knowledge of earlier times that this blog and other blogs on DSOworks.com will illustrate.
The five regular polyhedrons (Platonic Solids) are a geometrical construct of the 3 x 3 number square. Mesolithic cultures had knowledge of this. Our civilization today mostly does not.
The 3 x 3 number square holds numbers one to nine. Any straight row of three totals 15. However, it also contains a plethora of hidden number codes. If you wish to understand a few, click on-Mysteries of Music Unearthed By Tick-Tack-Toe. I’ve blogged about its use at Teotihuacan. Many of my blogs are about its hidden number codes. This square was the cornerstone of not only Mesolithic cultures; but even of civilizations before the great deluge described in the story of Noah. Understanding its manner of operation promises a path to peace for today. Here is an excerpt for my still unpublished Staff of God, Volume 1, inspired by the Oquaga Spirit. Its entire 424 pages are written in quatrains. The quatrains below describe but a small fraction of how this number square relates to the Platonic Solids.
Numbers one to nine are arranged in a unique way
Above is the traditional arrangement of the 3 x 3 square. It can be arranged in other ways.
As used by the 5 regular polyhedrons (pictured above)
Nine can also be found in several ways. Here are two:
The tetrahedron is the basic unit of the five.
By vertices, its 4 triangles total 720º (4 x 180° per triangle). Then 7 + 2 + 0 = 9.
The solid whose faces contain the most degrees of the 5 is the dodecahedron
With 9 x 720° = 6,480°. (This is exactly 9 x the tetrahedron’with 720° degrees). (9 x 720 = 6480). Its second way is, 6 + 4 + 8 + 0 = 18. Then 1 + 8 = 9.
With the remaining three solids: Cube has 2,160°. Each of its 6 squares has 360°. Thus, 6 x 360 = 2160.Then 2 + 1 + 6 + 0 = 9.
Icosahedron has 20 triangles. Every triangle has 180°. Thus, 20 x 180 = 360o. Then 3 + 6 + 0 + 0 = 9
Then there’s the octahedron with 8 triangles. 8 x 180° = 1440. Then 1 + 4 + 4 + 0 = 9.
In content and quality number 9 imbues the regular solids.
This is my 248th blog. At this time I plan 1001. Please keep checking. They are easy to find. Just click below on :
Gauges of a Lost World are found in an Isosceles Right Triangle . The shorter legs in this triangle are each 12 British inches in length. A foot long ruler graphically illustrates the length. Why did I say also? At the turn of the 1900’s Jay Hambidge made a significant discovery. He discovered an ancient canon of measures. They were derived from a square that measured one Egyptian remen on each side (1.2165 feet). The quote of measures below is from, Peace Can Be Uncovered by Discovering the Distant Past. This is the title of my post on DSOworks.com. Currently I have over 240 posts.
Jay Hambidge multiplied the remen by the square roots of 2,3,4,5,etc…… He found that:
1.2165 x square root of 2 =1.72 feet.One royal cubit
1.2165 x square root of 3 =2.107 feet. One Palestinian cubit.
1.2165 x square root of 4 = 2.433 feet. One Roman pace.
1.2165 x square root of 5 = 2.72 feet, One megalithic yard.
1.2165 x square root of 6 = 2.98 feet (virtually one British yard).
These same measure labels are close to duplication the isosceles right triangle in the featured picture.
The half diagonal of the initial square, AKB and 4th point,( the right end of line V1,) is 1.118 tones longer than any side. Each side of the initial square gauges a remen of 1,2165 feet. The half diagonal is not in this particular illustration. The half diagonal is elaborated on in City of Revelation by John Michell. Above picture is the Jay Hambidge drawing of the dynamic rectangle from “The Elements of Dynamic Symmetry,” Dover Art Instruction, 1926. Lines BC and AC in the Golden Triangle are both 12 British inches. The hypotenuse becomes longer by the √2 = 16.97 inches. Next, draw the altitude of this triangle. This is from corner “C” to the line that bisects AB in the featured picture. We’ll call this point “D”. It is virtually 8.5 inches or ½ the length of the hypotenuse. . We have the following figures for comparison to the Hambidge model:
AB + BD = 1.707 feet. Hambidge’s figure is 1.718 feet which is hishorter Egyptian cubit
AB + AC = 2.707 feet. Hambidge’s is 2.72 feet which is his megalithic yard.
CD + CA = 1.207 feet. Hambidge’s is 1.2165 feet which is the Egyptian remen.
Most remarkable: The perimeter around the triangle is gauges 3.41 feet. This is the Central American measure of the Hunab. I have blogged about how this measure most likely preceded the formal creation in Genesis. It is not in Jay Hambidge’s canon. It equates by gematria (341). Aleph, the 1st letter= 1. Mem, the second letter = 40. Shin, the third letter = 300. Thus 1 + 40 + 300 = 341. Rabbi Aryeh Kaplan disucsses Emesh in Sefer Yitzirah: The Book of Creation-in Theory and Practice. Chapter 3, section 2.
Original Word: אָ֫מֶשׁ Part of Speech: Adverb Transliteration: emesh Phonetic Spelling: (eh’-mesh) Short Definition: yesterday
Teotihuacan and many sites in Central American were measured by the hunab. Ref. Mysteries of the Mexican Pyramids by Peter Tompkins. Hence my theory is: The Golden Isoseles Triangle was used for measure a world that was destroyed i.e. before creation found in Genesis 1 :2- When the world was “unformed and void, and darkness was upon the face of the deep.” When measure was once more standardized, it used the canon of measures rediscovered by Hambidge.