Fibonacci and Sacred Geometry
by Christopher Morford
I was studying up on sacred geometry recently and found a few amazing things that made me appreciate even more the patterns and harmonious relationships that exist throughout nature, manifesting even within expressions of time. I also wanted to tie this in with religious symbols and text as further proof that those writings and symbols were at heart vehicles used to transmit and preserve knowledge through the ages, while at the same time veiling it for those who accepted the exterior narrative cloak of such texts as the entirety of their meaning and purpose.
Fibonacci, or Leonardo of Pisa, was born in Pisa around 1170 AD. The famed “Fibonacci Sequence” bears his name, though he did not discover it. It was known by at least the sixth century AD by mathematicians in India, and perhaps much earlier than that. Fibonacci was said to have used it to compute the expansion rate of a colony of rabbits.
The Fibonacci sequence is as follows: 0,1,1,2,3,5,8,13,21….and so on. For anyone unfamiliar with it, you simply add a number to its previous number to get the next number in the sequence. When we take the relationship between any two consecutive numbers in the sequence, say 5 and 8, we can divide the larger by the smaller and find that their ratio to one another is always around 1.6. This number (Actually 1.618 ad infinitum.) is also known as Phi, or the “Golden Ratio”. It is the underlying code that describes the growth of patterns throughout our reality. It forms the familiar spiral shapes of seashells, pinecones, the growth pattern of the hair on your head, the vortex of hurricanes and the spinning arms of galaxies. It is to be found just about everywhere.
In my sacred geometry research, I stumbled across a repeating pattern that is found within the Fibonacci sequence. The pattern was mentioned by Lucien Khan who makes clear he did not discover the pattern but he appears to be the first to discover, or re-discover its relationship to our divisions of time. (He has many interesting Sacred Geometry Videos on YouTube). The pattern can be found this way: First you need to extend the Fibonacci sequence out past 60 numbers and ideally to 120 numbers to confirm it. Take a look at the first 60 numbers, and in particular the last digit of each number. The last digits of the first 60 numbers are repeated over and over again without fail no matter how far you extend the series. This 60 digit pattern is:
It occurred to Mr. Khan that the 60 digits could be compared to the 60 minutes on a clock face. So he arranged them in a circle like so:
As you can see, something strange occurred; the Zeroes all lined up with the 3,6,9 and 12 O’clock stations on the clock face. Not only that, but the 5’s are doubled up on either side of the zeroes, symmetrically positioned 5 places away. The 5’s align with the other 8 numbers on the clock face.
Our divisions of time derive from the motions of the earth/moon/sun system and so are not the constructs of man but rather of nature. Likewise, the Fibonacci sequence is found from observing the patterns inherent in nature. The symmetrical 5’s are interesting as 5 x the 12 positions on the clock face gives us 60, the number of minutes in the hour, and seconds per minute.
Hidden within the Fibonacci sequence are representations of time from tiny increments up to and surpassing the “Great Year” of the precession of the equinoxes which is 25,920 years or 2,160 years for each span of time that the sun rises in each house of the 12 signs of the zodiac. We will see this next.
As noted in a previous article, the basic unit of precession is 72. This is the number of years it takes for the stars to shift one degree within the 360 degree circle of the heavens as viewed from earth. Any number that is divisible by 72 can be called a precessional number; 72, 144, 216…and so on. We have seen that 72 and 216 are especially sacred numbers, being related to the 72 names of God comprised of 216 letters the ancient Kabbalists say are hidden in the Book of Exodus in the Old Testament.
In addition, the first 72 verses of the Bible contain 991 words. After those 991 words begin the 216 letter 72 name of God. If you take a look at the following value of Pi (3.14) extended out to 1,000 decimal places, you will find the number 216 follows the 991st number in the sequence.
The precessional numbers 72 and 216 also have something very unique about them as related to the Fibonacci sequence. If you look at the 72nd number in the sequence: 498,454,011,879,264 and add up all of the numbers, you will find that they equal 72. Likewise, if you take the 216th number in the series you will find:
If you add up all the above integers, you will get a sum of 216. As far as I know, these are the only numbers this works with within the sequence. Also take note of the number 666 which appears after 9 places in. (9 Months being the typical gestation period for humans). 6x6x6 = 216. This is Plato’s number as mentioned in a previous article. He also said it was related to human gestation periods. 216 days being a minimum gestation period (In Plato’s time) for the survival of a fetus. Additionally, 216 x 10 is 2,160. The number of years in each zodiacal age mentioned above.
Getting back to Kabbalah, there are only two spheres, or Sephiroth on the Tree of Life which have precessional numbers associated with them. Chesed, whose name in gematria has the value of 72, and Gevurah, whose name in gematria has the value of 216. These two spheres balance and sit across from each other on opposite pillars of the Tree of Life. In the Book of Revelations, the walls of the New Jerusalem are 144 (2×72) cubits thick. 144 cubits = 216 feet.
This is all quite amazing to me and there is so very much more. I think it’s fairly clear that these numbers and their relationships were known quite well by the ancients and, as usual, we have not given them the credit they deserve.
I’d like to move on to a style of cross known as the Cross Pateé, used by Knights of the Crusades and others. Here are a few examples:
You may be familiar with the symbol of Christ and the Cross surrounded by the 4 beasts (Ox, Lion, Eagle, Angel/Man) that represent among other things, the Four Evangelists, Mark, Matthew, Luke and John, the Four Beasts of Ezekiel’s vision and those mentioned in Revelations. They also signify the four fixed signs of the zodiac, namely Taurus, Leo, Scorpio, and Aquarius. These four signs are important for being firmly anchored in the center of the seasons. The other signs signal transition into or out of one season into the next. However, they are or will be very important for another reason which we’ll get into later.
It’s my belief that the designs of these types of crosses were conceived by drawing the circle of the zodiac and spreading the ends of the arms out so that each arm covers two transitional signs (Also called cardinal or mutable) leaving the empty spaces for the Fixed signs to reside in. We can also see this on the Fibonacci Clock mentioned above.
I can also see this concept in the sky chart that once resided in the Temple of Hathor in Dendera, Egypt. You can see that there are 12 deities which appear to holding up the 360 degree circle of the heavens. They are not evenly spaced however. At the 3, 6, 9 and 12 O’clock positions, these deities are doubled up. Much like the double 5’s shown in the Fibonacci repeating code circle.
I think the Cross of Malta used by the Order of Saint John or the Knights Hospitaller of Malta takes this concept further. The points are aligned to the 5’s on the Fibonacci circle, and are bracketing the transitional signs if superimposed on the circle of the zodiac. The valleys of the “V” of each arm align with the zeroes on the Fibonacci circle and with the cardinal points of the compass.
Soon we will be moving, or have already begun transitioning, from the Age of Pisces and into the Age of Aquarius. This is another reason that these four Fixed signs are very important. We always hear about the Age of Aquarius, when this constellation will shift into the place now occupied by Pisces in the East so that the rising sun will pass through it on every Spring Equinox for the next 2,160 years. However, we don’t often mention that when this happens, the other three Fixed signs will fall into place and become “Mutable” signs. Just as Aquarius will mark the Spring Equinox, Leo will mark the Autumnal Equinox, Scorpio will reign over the Winter Solstice, and Taurus will herald the Summer Solstice. These Four signs then, seem to be pointing to a time that we are on the brink of, rather than the period of time ending that many think of as the “Christian Era”.
Thanks for reading. I hope you found this interesting.