## Synergetic Discovery Between a Pyramid and an Octagon

Synergetic Discovery Between a Pyramid and an Octagon. The featured picture uses octagons. Their synergy parallels the synergetic behavior of the hexagon and tetrahedron.  First, to define the terms: Synergy, Pyramid and Octagon. For my reference I quote Buckminster Fuller. His book is Synergetics: Explorations in the Geometry of Thinking.

1. Synergy: 101.01 is the “Behavior of whole systems unpredicted by their parts taken separately. “
2. Syneretics 108.00- Four Triangles out of Two. Synergy acts on the transformation of the hexagon into a 6-sided tetrahedron. In nature the six sided hexagon (two open ended triangles) synergetically transform into the six-edged tetrahedron.
3. Parallel between the square based pyramid and the octagon. A square based pyramid (like the Great Pyramid) has 8 edges. The octagon has 8 edges. The pyramid holds a total of 1080°.  The square base has 360 °. Its 4 triangles total 4  x 180° = 720° . The octagon, be it regular or irregular, also has 8 vertices with a total of 1080°.
4.  Here’s the parallel between my synergetic discovery in #3 with Fuller’s in #2.

As the six edges of 2 open ended triangles become a tetrahedron; Two open-ended squares can become a squared based pyramid. What practical application can this have? Many books have been written about the beneficial effects of the pyramid. These include:

### Synergetic Discovery

What ever beneficial effects the 3 dimensional pyramid may have, the two dimensional octagon should also  have the same effects.  As two open ended triangles can converge to form a tetrahedron, two open ended squares can converge to form a pyramid. I have a number of blogs about Buckminster Fuller. Below are a couple of internal links. Geometry can be applied to benefit our daily lives.  I think the octagon pyramid parallel is original with myself- Though I am not positive. Feel free to share.

## Dome Philosophy as Opposed to Angular Philosophy

Dome Philosophy as Opposed to Angular Philosophy. A dome has curved and fluid lines. One’s environment influences thinking. Therefore, interaction with the dome  makes for fluid, flexible thoughts. For the geodesic dome we are indebted to R.B. Fuller.

Richard Buckminster “Bucky” Fuller (/ˈfʊlər/; July 12, 1895 – July 1, 1983)[1] was an American architectsystems theorist, author, designer, and inventor. He published more than 30 books. In them he coined or popularized terms such as “Spaceship Earth“, ephemeralization, and synergetic. He also developed numerous inventions, mainly architectural designs, and popularized the widely known geodesic dome.

Buckminster Fuller would often ask architects, “How much does your building weigh?” They never knew. He believes that every pound should have a defined and necessary function. Fuller’s domes were triangulated. They had maximum strength for minimum weight.

### Dome Philosophy as per the Oquaga Spirit

It is no secret that space-time is a curved continuum.  Thus, the shape of the dome is in keeping with curved space.

I wrote a book of poetry while living around Oquaga Lake. I felt the presence of a spirit there. See picture below. Aptly, I named it the “Oquaga Spirit”. I sensed the spirit was a female from the Lennie Lenape. It is a product on DSOworks.com. You can freely sample me reciting some of the poetry on this inner link. If you are interested, you can also purchase the book.

### Dome Philosophy as per the Oquaga Spirit

This spirit dictated a poem to me entitled: Like a Ballerina. She used triple meter for almost the entire book. She also talks about how space-time is a curved continuum. This parallels Fuller’s  use of triangles with the dome shape. Orchestral conductors often conduct triple meter in circular fashion. In the poetry book she offers the following admonition and advice. This is excerpted from her poem, “Like a Ballerina”.

“Man likes duple meters.
His triple meters wane.
Return ye to the waltzes of Vienna,
And the vibrant boleros of Spain.

What we have here is the musical wave of both the past and future. As a pianist, I’m sure to play a good share of music in 3/4 time on my jobs.

## Davidic Dynasty Holds a Quantum Code

Davidic Dynasty Holds a Quantum Code. First, I quote the book, Synergetics. It is subtitled: Explorations in the Geometry of Thinking. Author: R. Buckminster Fuller. I am merely applying his wisdom to the Davidic Dynasty. My profession is piano player. I seek patterns on the keys.  I seek similar patterns in nature. In particular we will look at:

1. The design of the Star of David. It is a regular six-pointed star.
2. The Hebrew name for David. It is spelled: dalet, vav, dalet. From the Hebrew name דָּוִד (Dawid), which was probably derived from Hebrew דוד (dwd) meaning “beloved”. In Hebrew and other Middle Eastern languages, letters doubled as numbers. Dalet is 4. Vav is 6. Again, dalet is 4. The sum of 4 + 6 + 4 = 14.

Synergetics, according to E. J. Applewhite, was Fuller’s name for the geometry he advanced. It was based on the patterns of energy that he saw in nature. For Fuller, geometry was a laboratory science.  It had the touch and feel of physical models: Not rules out of a textbook. It gains its validity from the results of individual physical experience. This description is by the Buckminster Fuller Institute. It is offered by courtesy of The Estate of Buckminster Fuller.

In Synergetics, Fig.620.06, Fuller explains: The tetrahedron is a basic vectorial model of the fundamental structural system of the Universe. The open-ended triangular spiral as action, reaction, and resultant. This is one of the triangles. It equates with the proton, electron, and anti-neutrino. Or, it can equate with the neutron, positron, and neutrino. This becomes half quantum. It is one of the open ended triangles. They approximate the shape of the Star of David.

Fuller then explains: An association of positive and negative half-quantum units identifies the tetrahedron as one quantum. Basically, two open ended triangles are pieced together to form the closed, six sided tetrahedron. This is found on page 334 of Synergetics.

### The Davidic Dynasty Appears

As stated, David’s name represents 4-6-4 by its letters. This represents the 4 faces, 6 edges, and 4 corners that define the tetrahedron.  Finally, the two triangles of the star of David represent the left and right half quantum units of an open-ended, six-pointed star.

Everything this blog discusses was known in ancient times. I believe in reviving this lost knowledge of antiquity. In so doing, we will have happiness here and now.