Article by Ralph Miller
There are many mysteries hidden inside of Leonardo DaVinci's drawing called "Proportions of the Human Figure." It seems likely that DaVinci had an understanding of certain hidden secrets that had been passed on from ancient sources. It is interesting that DaVinci very cleverly hid most of these mysteries. For some reason he just did not put them in plain view. DaVinci wanted them to be discovered.
In the Ayahuasca temples, many people who participate in ceremonies emerge in a world where all of reality can be represented in very complex mathematical formulas or relationships. The incredible design and beauty of creation, has an underlying organization that is unbelievably complicated and elegant. People see fractal patterns, which are part of these infinitely complicated geometric patterns.
DaVinci was also aware of the mathematical anomaly called the 'Golden Mean' that, as it turns out, is found throughout nature. The Golden Mean is a relationship between three different dimensions that form a ratio. The ratio itself is actually a unique number called Phi symbolized as the Greek letter Phi or . Phi was likely named after the 5th century B.C. Greek mathematician Phidias.
In geometry this ratio is found in a Golden Mean rectangle, the uniqueness of which is found in its ability to self-replicate. By starting with a simple square that is divided in half; the diagonal or hypotenuse of one of the halves of that square can then be used as the length of radius forming a circle or an arc that will define the length of a rectangle. The rectangle will include the original square, plus another Golden Mean rectangle. The next rectangle is smaller but also contains a square plus another Golden Mean rectangle. This process is self-repeating.
The Golden Mean is represented in DaVinci's drawing called "Proportions of the Human Figure" in an elegant manner.
Click on the image below to launch a slideshow explaining the concepts here. Once in the slideshow, you can hover over the right side of the image and click to navigate to the next image.
Mathematicians call the Golden Mean or Phi an imaginary number, because it has no precise equivalent. The Golden Mean is simply a number, which computed to three decimal places is 1.618. The exact decimal amount is actually a number that continues infinitely. Tenths ... hundredths ... thousandths ... ten-thousandths ... hundred-thousandths, etc. It doesn't matter if you are at the 10,000th decimal place, it will go on for 10,000 more. If you want to look a Phi represented to 20,000 decimal places see this link. http://goldennumber.net/phi20000.htm
Nobody really knows when humans first became aware of Phi, but it was used in the construction of the Egyptian pyramids and the ancients of Mexico used Phi while building their temples. Perhaps the knowledge of Phi is a remnant of a vast inner knowledge that humans once had access to. Archimedes, the Greek mathematician, was fascinated by it.
Plato thought that the universe itself had finite limits, rather than being infinite. He also thought it was in the shape of a platonic solid called a dodecahedron (soccer ball shape), which can be constructed by using the number Phi.
If you have ever seen a cross-section of the shell of a marine animal called a nautilus, you would have noticed that the growth of the spiral starts from what seems like a single point into swirls of ever-increasing dimension. As the nautilus shell grows, it increases in size exactly in proportion to the Golden Mean. Crystals are shaped and grow in proportion to this same ratio. In fact, everything in nature is related to this ratio, because it underlies reality.
The DNA molecule which is the basis of all life has a measurement of 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral. The dimensions form a Golden Mean rectangle where 34 divided by 21 almost exactly equals Phi.
I had said before that Plato thought that the universe was shaped like a dodecahedron. DaVinci too was fascinated with platonic solids like the dodecahedron and the idea that Plato put forth that it represented the shape of a finite universe.
NASA began collecting data with the Wilkinson Microwave Anisotropy Probe (WMAP) on cosmic background radiation during October of 2001. Cosmic background radiation allows scientists to peer into the past to the time when the universe was in its infancy. Fluctuations in this radiation can also tell scientists much about the physical nature of space.
In February of 2003, NASA released the first data from this probe. In October 2003, a team including French cosmologists and Jeffrey Weeks, a mathematician, used this data to develop a model for the shape of the universe. The study analyzed a variety of different models for the universe, including infinite vs. finite as well as a number of shapes. The conclusions from the data in this study revealed that the math adds up if the universe is finite and shaped like a dodecahedron. This conclusion is almost unbelievable when you consider Plato had the same idea nearly 2,500 years earlier.
Finally, I found it very interesting that the point of origin of the Golden Mean rectangles on DaVinci's drawing was in the heart chakra. It seems that when a person comes into emotional, psychological and spiritual balance that the heart chakra opens up. At least that is what we are discovering. When their hearts are open, people experience the beauty of their humanity in an extraordinary way. Creativity and inspiration flow freely. They begin to experience life within the soft feminine field of their own human divinity.
The Institute of Heart Math in California is doing cutting edge research on the energy of the heart within a brand new paradigm. Heart Math calls the 'balance' that I mentioned a state of coherence. When the human heart is in a coherent state, a powerful vortex of measurable energy flows freely.
According to the Institute of Heart Math, the human heart center or chakra generates a bioelectromagnetic field that is by far the strongest aspect of the human energy field. The bioelectromagnetic field of the heart is around 5,000 times stronger than that produced by the brain, and can be measured several feet away from the body with Super Conducting Quantum Interference Device (SQUID) magnetometers.
The infinite source or connection to all that is, is within all of us. There is growing scientific evidence of this. There are ancient secrets that point to this. There are shamanic plant medicines like ayahuasca that teach us this.
Ayahuasca has the ability to help us resolve and balance our humanity. It can heal us in a multitude of ways. It can wake us up and show us a secret bridge from the physical to the infinite and immortal that is within.
© Ralph Miller 2004