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:
- 8 faces
- 6 corners
- 12 edges
- 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:
- 8 corners
- 12 edges
- 6 faces
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.