Mexican Pyramid Squares the Circle. First. What is “square the circle?” Squaring the circle is a problem proposed by ancientgeometers. It is the challenge of constructing a square with the same area as a given circle. You may only use a finite number of steps with compass and straightedge. In 1882, the task was proven to be impossible. This was a consequence of the Lindemann–Weierstrass theorem. But wait a minute. Lindemann and Weierstrass did not consider R. Buckminister Fuller’s theories in conjunction with the Mexican Pyramid of the Sun.
Mexican Pyramid Really Spheres the Circle
So who was R. Buckminster Fuller?
R. BUCKMINSTER FULLER, 1895 – 1983
The Estate of R. Buckminster Fuller:
Hailed as “one of the greatest minds of our times,” R. Buckminster Fuller was renowned for his comprehensive perspective on the world’s problems. For more than five decades, he developed pioneering solutions that reflected his commitment to the potential of innovative design to create technology that does “more with less”. Born in Milton, Massachusetts, on July 12, 1895, Richard Buckminster Fuller belonged to a family noted for producing strong individualists. They were inclined toward activism and public service. Fuller developed an early understanding of nature during family excursions to Bear Island, Maine. He also became familiar with the principles of boat maintenance and construction. Below are a couple of internal links for further information.
Comparing the Mexican Pyramid of the Sun and Fuller’s Formula for Packing of Spheres
Packing of spheres in successive layers falls under a formula. It was discovered by R. Buckminster Fuller. It’s the number of the particular layer being considered, squared x 10 + 2. You can pinpoint how many spheres successivelyen circle a central sphere. Here are the 1st five examples.
For the 1st layer, 1² x 10 + 2 = 12 spheres.
The 2nd layer we have 2² x 10 + 2 = 42.
For the 3rd layer, 3² x 10 + 2 = 92.
The 4th layer is 4² x 10 + 2 = 162.
The 5th layer is 5² x 10 + 2 = 252.
Ancients looked at what things had in common by common numbers. This was regardless of unit of measure used. We can thus equate the packing of the 5th layer of spheres with the measure of the Mexican Sun Pyramid. Also, Plato’s Ideal City, in his Republic, had 2520 rings. Is this line of thought just fun? Perhaps. But also, perhaps there is no such thing as mere co-incidence?
Great Pyramid Connectivity to the 3 x 3 Number Square. I’ve written many blogs about the 3 x 3 number square. Perhaps there is no end to the multitude of connections it has to the Great Pyramid. Here are a few internal links. They are many more.
As per the featured picture: Two sets trisected lines, 2 vertically and 2 horizontally- make 12 struts. These 12 struts, geometry and the set numbers freely intermingled in antiquity. Ancients used a process that wouldnow be called “synergy” by the definition of engineer-philosopher, R. Buckminster Fuller. Richard Buckminster “Bucky” Fuller (12 Julie, 1895 – 1 Julie, 1983) was an Americanvisionary, designer, architect, an inventor. He was a professor at Southern Illinois University. Go to Epcot in Orlando. His mathematical theories helped to construct the geodesic dome set at the entrance. Most have a difficult time understanding the meaning of synergy; however, here it is:
“Synergetics is the system of holistic thinking which R. Buckminster Fuller introduced and began to formulate. … 102.00 Synergy means behavior of integral, aggregate, whole systems unpredicted by behaviors of any of their components or subassemblies of their components taken separately from the whole.
Synergetics | The Buckminster Fuller Institute https://www.bfi.org/about-fuller/big-ideas/synergetics
Some Synergetic Thoughts
Thus, take the 12 struts from the 3 x 3 number square. Square 12 as 12² = 144. This number is in the Fibonacci series: 1,1,2,3,5,8,13,21,34,55,89,144,233,377…each number is the sum of the preceding two. The Fibonacci series is framed by hidden codes in the 3 x 3 number square. The framing numbers are ….5….55….555 + 55 (610) ….(Find the post)
Cube 12, as 12³ = 1,728. That ties 12 into the 3 x 3 number square in two ways:
1,728 is the product of the 12 struts (6 vertical + 6 horizontal) cubed.
1728 is also the product of the gnomon numbers of the 3 x 3 number square. The gnomon is illustrated in picture above. It is the 5-numbers that remain after the lower right four corner numbers are removed. Thus, 8 x 3 x 4 x 9 x 2 = 1728.
Conclusion: With Great Pyramid Connectivity we can theorize how a former Golden Age would have been maintained. Perhaps we can acquire better times by exploring such thinking?
Profound Numerical Egyptian Knowledge in Remen. Yes, this blog also points to the advanced civilization known as Atlantis. For more about the remen, read the internal link below. The link in turn contains two more relevant links. The remen was the basis of ancient measure. Its imprint is still on the three foot English yard.
But here is what is surprising to most. The 1.2165… foot long remen displays knowledge of the 92 regenerative elements of the periodic chart. The most common isotope of uranium has 92 protons and 146 neutrons. Its atomic mass is 238 (92 + 146). It is no co-incidence that a remen equals 14.6 inches. Likewise, the number of neutrons in uramium 238 is 146. If you scoff at this co-incidence, also consider this: A numerical pattern formulated by R. Buckminster Fuller for elements holds the numerical atomic particle pattern of Ur (238).
Profound Nature of the Remen is Everywhere in Nature
He discuss the tangent packing of spheres in successive layers. A central sphere can be surrounded by 12 equal sized spheres in the 1st layer. Next, 42 spheres can be packed in a tangent way around the original twelve spheres making the second layer. For the 3rd layer, 92 spheres can be packed around the preceding 42. Fuller gives a formula for sphere packing: It is (n² x 10) + 2. “N” becomes the number of the layer in consideration. So, the 4th layer would be 4 x 4 x 10 + 2 for 162. Uranium 238 has 92 protons. That number is defined by the 3rd layer. Next, add the numbers of the 1st 2nd and 3rd layers. We have 12+ 46 + 92 = 146. That becomes the number of protons in the most common isotope of Uranium.
The remen of 14.6 inches is a universal measure. The Hebrew word for world (or universe) is Olam. Rules of gematria equate it with 146- עוֹלָם is the spelling with Hebrew letters. In ancient languages letters and numbers often shared the same symbol. Also, numbers were frequently multiplied by powers of ten. Please read the internal link below for an explanation. It explains mathematically how the largest is hidden in the smallest.