Malta – Spirals of Tarxien Temple (~3150 BC)

On the small island of Malta, off the coast of Greece, are some of the oldest and most puzzling megalithic ruins on the planet. There is a subterranean structure (Hypogeum) carved out of rock, and on the second level of this structure is a small chamber known as the Oracle Room. Anyone speaking from this room can be heard throughout the Hypogeum, and it has some strange acoustic properties that I don’t think have been explained fully.

Until I can travel to Malta (Bucket List!) and check out / measure the Oracle room / Hypogeum for myself, I have to look for other clues to study the geometry of the site. If I am correct in my theory, the Universe is scale-invariant, which means that the very small looks identical to the very large. I believe megalithic people were aware of this fact, and that their carvings of smaller objects use the same geometric ideas as their largest constructions.

There appear to be spiral carvings all around the temples on the island, and these carvings can shed some light onto the mathematics used in the overall construction of the site. I’ve looked at one of the carvings so far, and guess what I found…

Megalithic Spirals of Malta, Puma Punku Cross, & the Fibonacci Sequence

When I was in elementary school, I stumbled across the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, …) for the first time in one of those logic puzzle / mathematical curiosity books written for kids. The sequence was described in terms of fictional breeding rabbits, which was interesting at the time, but in retrospect not the best way to apply the sequence because in reality, rabbits don’t breed according to that model (and inbreeding is gross)!

In middle and high school, I was introduced to the Fibonacci sequence in a cursory manner, nothing really in depth or meaningful. At Humboldt State University, as a math major, I saw the power of the Fibonacci sequence, and more importantly, the Golden Section, for the first time. I remember thinking, why is this not a big part of the curriculum in high school? Well, a few years later, when I was a high school math teacher, I got the answer to my question… The curriculum is a mile wide and an inch deep; nothing of value or consequence can be covered in depth, because there is too much to cover.

Regardless of what I read in books or was taught in school, it is clear to me now that Fibonacci was not the first one to figure out this sequence, any more than Pythagoras “discovered” the Pythagorean Theorem. Many of the big mathematical concepts were either taught by, or reverse engineered from the more advanced cultures that came before. Megalithic sites like Stonehenge, the Pyramids of Egypt and Mexico, and the ruins on Malta use complex geometric concepts that we are just now catching up with. They seemed to not only be aware of the Golden Ratio, but able to apply the mathematical concepts to sound amplification and propagation.

I have a tendency to hoard my research, but I am going to try to be better and release it in small bits, imperfect and unconnected though they may be. Here are a few examples of Fibonacci sequences that clearly predate the man credited with its discovery.