I just found this thread and had to skip to the end because I didn't want to read all this stupid bickering. I am studying sacred geometry as well and would be interested in this thread more if the people who aren't into 'sacred' geometry would mind their own business.
The reason it is 'sacred' is because it is the whole pattern everything in the universe and nature follows, and for good reason. It also tells a story, a mythology, like the zodiac does, but it is rooted in patterns that humans didn't invent, but discovered. The story it tells may not interest some, but its applications are endless.
I see someone wanted to know what are the applications of sacred geometry? Well, where do I start? Obviously engineering and architecture. Building stable structures that are also pleasing to the eye. Oh, music also! The ratio between the vibrations of the notes of the scale also corresponds to the fibbonacci sequence and the golden mean. Understanding natural events like hurricanes, and crystals. Did you know that there is no seven sided crystal and also a septagon is the only -agon impossible to create with the sacred geomtrist's tools: the compass and the straight edge. The inert gases are the gases with seven electrons in their outer shell so they cannot bond to other atoms. Seven symbolizes the "Virgin" in the zodiac. Energy flows when encountering resistance ALWAYS forms golden spirals as do plants when they grow against the force of gravity. If you have a golden spiral made of wire hanging by the middle from a string and cut a piece off the spiral, it would stay balanced. This is why spirals are balanced, like a nautilus shell, so the slug doesn't have to relearn how to crawl as his shell grows, or a sheep doesn't have to rebalance his head as his horns grow. The golden ratio comes from the number five in the pentagon and pentagram.
Four symbolizes material existence and the Earth, and stability. That is why we build our houses square, and our beds, etc. Actually I think it would be more space efficient if we built out houses as hexagons.
Speaking of hexagons, they are cool! Hexagons are the most utilitarian shapes. Many of the creations people have invented are based off of the hexagon because it is so useful. It is the only shape besides a triangle and a square that can tesselate. It is the most stable structure that uses the least material, has the most space and is the most structurally stable. Look at beehives, for example.
The story of sacred geometry is the story of the numbers one through ten.
1=the UNIverse, undivided, the whole, God (dirty word here)
2=duality, opposition, competition, creation
1&2 are not considered numbers per se, but the parents of all numbers. 3 is the first real number.
3=harmony arising out of 1+2. the holy trinity, mother, father, child. Youth, adulthood, old-age. Material, mental, spiritual. Harmony
4= material existence. Creation. Form. Matter. The four elements
5= Transcendence. Beauty. Perfection (look at the five pointed star). Superstars. Excellence. (earning a star)
6=form, structure, utility. Also related to 12 which is measurement: zodiac, twelve hourse on the clock. Twelve months. Twelve inches to a foot. twelve in a dozen. twelve dozen makes a gross, etc.
7=the elusive virgin. The distant rainbow, octaves of vibrations (musical notes, colors,etc.)
8=higher form of four and two. Labyrinth. Spiritual growth in the material world. The chessboard of life. The path of life leading to:
9=the horizon. The last number. 3X3. Magic sqares etc. Something which, like the horizon, as you approach it it moves away.
10= beyond numbers.
The platonic solids come from the hexagon, the applications for which buckminster fuller's geodesic domes is an example.
This knowledge came from ancient Egypt and Sumeria where I believe we recieved this information from aliens. The people who built the temples where Masons (obviously) who formed their own secret society to preserve this knowledge (amongst other far out knowledge that you probably wouldn't believe). The masonic symbol is the compass and the straight edge which are the only tools you need to create all these shapes and geometric relationships with.
Man, I could go on and on.
But for now, let those of us who are interested in it discuss some more about Sacred Geometry and learn from each other and people who aren't into it or who don't believe in geometry (laugh) can leave us alone.
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