Sacred Geometry, Ley Lines and the Planetary Grid.  
William Becker – Pythagorean Cosmic Morphology, ‘’The Planetary Grid’’, 1984.

There are five geometric shapes that have faces, edges and angles that are congruent. Named after the famous Pythagorean known as Plato, four of these Platonic solids include the tetrahedron, octahedron and icosahedron.
The Pythagoreans understood that the Universe is composed of four elements – fire (radiation), earth (solid), air (gas) and water (liquid). They believed that the particles of each of these elements are in the shapes of these four Platonic solids.
But there is a fifth solid, called the dodecahedron, which has a pentagon on each of its 12 sides. The dodecahedron is by far the most difficult of the solids to construct because the drawing of the pentagon requires an elaborate application of the Theorem of Pythagoras for which he is best known. 
But what is most interesting is that the Pythagoreans believed that the element that is in the shape of the dodecahedron is etheric Spirit, the original source of all things that arise in Space and Time. 

If Vibration is the behaviour of Energy, and the Universe is Energetic in Nature, then shouldn’t we see Geometry (the signature of Vibration) in the Energy of the Earth? Anthropologists may have found that the Planetary Grid of Earth is an Icosahedron by mapping high Magnetic field locations in anomaly zones. 
Among these grids is the the Becker-Hagens Planetary Grid. The 12 points of this Grid were plotted originally by Ivan Sanderson who identified areas on Earth where anomalous activity frequently occurred, such as weird geomagnetic activity and marine and aircraft disappearances. After discovering that there were 12 main areas that all of these activities seemed to be occurring (such as the Bermuda Triangle and Dragon’s Triangle in Japan), he then noticed that they were also equidistant from one another. When you connect all of these points together with lines (called Ley Lines), you have a perfect Icosahedron. 

Russian scientists Goncharov, Morozov and Makarov found that if you take this Icosahedron and flip it inside out into the Dodecahedron and then plot these new points on the Planetary Grid with the original 12 points of the original Icosahedron, you now have a worldwide grid plotting every single major Monolithic structure in the History of the World: The Great Pyramid, Stonehenge, the Stone Heads at Easter Island, the Sun and Moon Pyramids in Mexico. Ancient Mystical sites, churches, temples and burial sites were all build on these Ley Lines. In fact, over 4000 sites of Historical and Spiritual significance were found on this grid. The Irish called these “Fairy Paths”. Germans called them “Holy Lines”. Greeks called them “the Sacred Roads of Hermes”, and the Chinese called them “Dragon Currents”. Many other cultures also claimed they could even see these lines and build roads and buildings on them accordingly. Even Plato spoke about this in his work Timaeus and explains the grid as the Synthesis of the Platonic Solids that constitute “the Ideal Body of Cosmos”. 

Geometry is the basic behaviour of Vibration. Vibration is the Nature of the Universe. This is another evidence that Sacred Geometry governs the structure and layout of the Natural Physical Universe.