Mirrored Pyramid Makes an Octahedron. Look at a square based pyramid. An upside down pyramid can form an octahedron with it. See picture below. Now do this with the Great Pyramid of Egypt. The featured picture shows such a blueprint. See the featured picture. It is an excerpt from page 16 of my Staff of God, Volume II.
First, what is the Great Pyramid of Egypt? The Great Pyramid of Giza (also known as the Pyramid of Khufu or the Pyramid of Cheops) is the oldest and largest of the three pyramids. They are in the Giza pyramid complex bordering what is now El Giza, Egypt. It is the oldest of the Seven Wonders of the Ancient World. Also, it the only ancient wonder that remains largely intact. Feel free to read these two internal links. As will can see, I have written on subjects for quite a number of links.
The basis of a lost Golden Age was the 3 x 3 number square. It has countless hidden number codes. They were once understood and activated. An example of its use is in the featured picture.
The radius height is 275 shorter Egyptian cubits. That radius has a circumference of 1728 cubits. Note the 3 x 3 number square gnomon. As pictured, 8 x 3 x 4 x 9 x 2 = 1728.
The core number of the 3 x 3 number square is 5. The 5 cubit tip is missing from the tip. This blog shows its number square source.
Circle’s diameter of 550 cubits is also numbered by the 3 x 3 number square. DSOworks.com gives ample instructions for discovering lost number codes. 55 is the average of any two opposite numbers as 49 + 61 = 110. They average 55. Similarly, you can find 110 in 16 different ways on this square. Zero as in 550, was not a recognized as an actual number. On the 3 x 3 number square it is a composite. It is the sum of any two sets of opposite numbers.
Neolithic Number Eight Permeates the Great Pyramid of Egypt. Also the modern piano keyboard. Here’s how.
First use of eight (8). The featured picture illustrates an octahedron. It is a symmetrical, eight-faced, triangulated figure. All angles at their corners are 60°. Bisect the featured picture across the square at the center. The bisected octahedron then becomes two square based pyramids. The above I call the positive. The below I call the negative. All square base pyramids imply an attached equal and opposite pyramid. The mere existence of any square base pyramid, implies a counterpart. Granted, the Great Pyramid of Egypt has differing angles. It uses isosceles triangles. But, the extra four reverse-faced pyramid is still implied. When they are joined, the square bases become internal. They literally disappear. There no longer is a separated square base. We have our first usage eight. As, 4 faces (postive) + 4 (negative) faces = 8.
2nd Usage of Neolithic Number Eight
Each side of the square base measures 440 shorter Egyptian cubits. Shorter cubits are 1.718…feet. A more encompassing measure is the Great Cubit. It measures 55 shorter Egyptian cubits. Thus each side of the Great Pyramid of Egypt is 8 Great Cubits. 440⁄ 8 = 55. Reference John Michell, The View Over Atlantis. Therefore the Great Pyramid is 8 x 8 Great Cubits.
Neolithic Number Eight and Musical Octaves on the Piano Keyboard
Last, but not least. We will tie the Great Pyramid into concert note A-440 and its octaves. Its essential measures come from octaves of the concert note A 440. A higher octave doubles the vibrations per second. The lower octave cuts them in half. The lowest note on the 88-keyed piano is “A”. It vibrates 27.5 times per second. On the Steinway below, it is the furthest note to the left.
The musical keyboard of a Steinway concert grand piano
Here’s the connection. The height of the Great Pyramid is 275 cubits. Neolithic builders freely multiplied and divided by 10’s. This is because 10 ten was considered a synthetic number in antiquity. Reason: It totaled any two opposite numbers on the 3 x 3 number square. Diagram is below. 4 + 6 = 10. Or, 9 + 1 = 10. Etc. We now have the following:
The note A, underneath Steinway’s name, vibrates 440/per second.
The lowest note on the piano, also an “A” vibrates 27.5 /second.
The length of any side of the square base on the pyramid is 440 cubits.
The height of the truncated Great Pyramid of Egypt is 275 cubits
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.