TPISC II: Advanced ~The Pythagorean—Inverse Square Connection~

The Pythagorean - Inverse Square Law Connection — how the Pythagorean Theorem is intimately embedded within the The Architecture Of SpaceTime (TAOST) as described by the BBS-ISL Matrix — is first and foremost the topic of this book.
By: Reginald Brooks, Brooks Design
 
 
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PORTLAND, Ore. - Oct. 3, 2015 - PRLog -- TPISC II: Advanced

TPISC II: The Pythagorean - Inverse Square Connection: Advanced
profoundly enlarges upon the Dickson Method — giving the Extended Dickson Method — which has opened the doors to the real connection between the ISL and the PTs. Patterns of Fractal-like Relationships is a descriptive phrase loaded with the implications that the PTs, while ubiquitously embedded throughout the infinite BBS-ISL Matrix, grow within it in a profoundly fractal-like pattern. Parsing these into r-set and s-set groups becomes key in determining the pattern distribution of ALL PTs.

Every grid cell # within the BBS-ISL Matrix is determined by the Prime Diagonal #s, as is every possible PT.

The PTs, just like the circle and square, define the ISL!

So in the end, what are we to make of all this?

Why the BBS-ISL Matrix — which begs the question: Why the Inverse Square Law (ISL) — and why the Pythagorean Triples?

The dialog continues: (from TPISC I: Basics)

24. OK, without my reading a math book—even one only about Natural Whole numbers—why should I care about this? What does a matrix grid-table of the ISL and the ubiquitously embedded PTs have to do with my reality???

The short answer: Everything!

The ISL defines the SpaceTime (ST) of the Universe. No exceptions. That ST is in flux—dynamically generated and re-generated as to the energy density it is informing—sitting within other STs.

The cell values of the ISL-matrix grid all relate back to the PD of that specific ST forming. Every cell value has a unique number value—representing a “quantity” of something—in that it is the ∆ between the PD at the top of its column and the PD value at the row’s end.

Because the cell values are known and fixed throughout the entire infinitely expandable matrix, it is immediately, simultaneously known—without the need of transmission of information by any means from point “A” to “B”—effectively becoming instant and simultaneous, i.e., faster than the speed of light.

Same thing occurs for the embedded PTs. They, too, are ubiquitously present and simultaneously known for all sizes of PTs form the smallest 3—4—5 to the largest.

So now, we have two geometries instantly and simultaneously present informing all of ST from zero to infinity.

25. Well, you’ve got me there! But, so what?

The basis of the BBS-ISL Matrix is that of the circle/square. Perfectly symmetrical geometric forms containing 90° right-angle isosceles triangles. These inform ST in a manner reflecting these properties.

Now, enter the PTs. PTs are based on 90° right-angle NON-isosceles triangles, i.e., when paired they form NON-square rectangles as opposed to the squares of the ISL.

26. OK. Squares or rectangles, so what’s the big deal?

Unlike the formation of ST on nothing but simple circle/square geometry, asymmetrical rectangles allow for specific, slightly different geometry to come into play—within the ISL layout—at articulated points of interest—nodes—that give the forming ST new instructions.

27. Where do these nodes occur?

They occur along those rows that contain a PT. Specifically at the Squared Pair-Set values that defined that PT on a particular row.

28. That’s it? We (Nature) can make things out of rectangles in addition to circles, squares and isosceles triangles?

Evolution is based on, among other factors, the geometry that informs the structure—animate or inanimate. All rectangles contain perfect circles, squares and isosceles triangles in addition to their own ovals, rectangles and non-isosceles triangles. In other words, the asymmetry introduced with the PT geometry brings an evolution of form to a level of greater complexity—more options, more possibilities—that enriches the creative expressive possibilities of a forming ST.

Multiply this repeatedly and you end up with a Dahlia, a galaxy, a cosmos!

Together, the symmetric and asymmetric instructions sets of the ISL and PTs—respectively—give rise to the expression of ST.

29. Aren’t there other forms—including fractal-like forms, the golden rectangle, etc. that are so obviously in play in the ST forms we see with our eyes (and telescopes) everyday?

Indeed, and the PTs are suggested as acting in just such a manner—as fractal-like forms with re-iterative, self-similar pattern-modes of form expression.

30. How can I use my understanding of TPISC tomorrow when I wake up and start a new day?

From your dreams of the impossible, wake up knowing that you now have some knowing of just how Nature—Nature in all her profound wisdom—builds the very ST upon which you take your next breath, sip that favored cup of joe, while you peruse the headlines of idiots doing violence to each other!

Are not the PTs there to organize it all?

TPISC, The Pythagorean — Inverse Square Connection , is about shining some light on how Nature ubiquitously builds combining simple, elemental forms into sentient constructs able to reflect the light all the way back home!

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This is a multi-touch, interactive ebook made with iBooks Author® and published in the Apple iBooks Store®. Currently, it requires an iOS device or a Mac running OS X 10.9 and above, and the free iBooks® app to download and read.  It is available for free.

Author's TPISC I: Basics webpage: http://www.brooksdesign-ps.net/Reginald_Brooks/Code/Html/...

Author'sTPISC II: Advanced  webpage: http://www.brooksdesign-ps.net/Reginald_Brooks/Code/Html/...

Contains Selected Screenshots.

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