>>3755

Right! I'm mostly caught up with you all at this point, still chasing down some bits here and there.

Oh, this crumb too has been on mind…

>>699

>One Row to Rule them All.

>A column that contains ALL and is the KEY to ALL the patterns.

>What are the patterns in COLUMN ZERO?

Did we complete this one? I know we did (0,0). Not sure I have that question fully answered yet.

And for the Column 0, it appears from the first few D and A grow in linear fashion without interleaving, will look more this evening. Using excel images such as attached to start, and PMA's output.

>>3756

You bet! So many crumbs. Was looking at the one about imagining the grid coming up at you, and this being another dimension (the complex I think it was). So much just about sq rt of -1.

Last night, was going back to some work by Hagen Kleinert, a German professor. Was going to start a separate thread, but will just point here. A 2001 paper:

https:/ /arxiv.org/pdf/quant-ph/0106095.pdf

Towards a Simulation of Quantum Computers by Classical Systems

..and if you want to listen to a video by Prof. KIeinert, this is tough quality but super. His energy is infectious:

San Marino 2011

Lecture 21: The Purely Geometric Part of Dark Matter. A Fresh Playground

for String Theory

Prof. Hagen Kleinert, Germany

http://www.world-lecture-series.org/san-marino-2011-purely-geometric-part-dark-matter

or download the mp4:

www.world-lecture-series.org/san-marino-2011

>>3782

Your insights in RSA#6 were superb, thanks for popping back in! And what a co-In(c)iden(c)e, was working through column 0 more this eve (and Eve will see all Bob and Alice have been chattering about soon!).

>>3789 Noted!

VA listed a few (0,n) patterns here >>1542 and here >>1544.

And in #6 from TLA there's >>1548

Had missed the 'closed under multiplication' and 'Gaussian integers' back then. Making much sense now, understanding this as a HIGHER-dimensional problem (old VQC hint).

scalar vector > bi-vector > tri-vector…

Not sure if we'll need it for the first part, but it's coming, or going back anyway, to Grassman et. al.

Hestenes celebrated this:

http:/ /geocalc.clas.asu.edu/pdf/GrassmannsVision.pdf

as related to Grassman. I mentioned Clifford Algebra in last bread, well it just keeps unfolding. Also dig into Alan Macdonald's Geometric Algebra / Geometric Calculus and the Conformal model. And on it goes, a unifying model for mathematics. Recall other VQC drop in an anon's DM >>3139 "All your base belong to us". Boom! There it is. And, given this includes Blades, and Philip Dick was on my mind earlier, a Blade Runner graphic!

• What's SO cool about this, is the variety of applications! Read: https:/ /arxiv.org/pdf/1305.5663.pdf New forms of neural nets and neural computing (AI/ML anyone?), computer graphics, motion tracking, FLAT space (flat earth, haha, get it now VQC!), crystal structures (for you Topol). Oh, and bumping into bitcoin along the journey. Yuuge! I feel like the guy in the attached image, a slice of light across the eyes looking at a blinding future.

>>3841

Good callout. Had been playing with the 'closest factors' and you stated clearly.

>>3848

Like the way you're thinking anon!

Also, we haven't used Mod in our decision tree. Recall VQC's crumb to dig into Mod and Elliptic curves, I think it was? Mod could be helpful too (3, 6, 9 rule) and also divisible by 5. Will post up reference in a bit, but the tree might just handle all that anyway - three birds…

>>3840

This is a fun site for playing with primes: http:/ /www.primesdemystified.com/

Had pulled this paper up a while back, very interesting. Can post pdf if you all want, but here's a link:

https:/ /papers.ssrn.com/sol3/papers.cfm?abstract_id=2706936

Notes on Prime Numbers, Their Numerical Statistics & Patterns I: Modular Arithmetic and the Eight Fold Period 24 Model

25 Pages Posted: 22 Dec 2015 Last revised: 18 Jan 2016

Fredrick Zia Michael

Agathos Scientific and Education

Date Written: November 24, 2015

Abstract

We have not yet obtained a simple, complete and accurate method for determining if an integer number specifically an odd number that does not digitally sum to 3,6,9, whether it is prime, and that does not involve trial & error and/or as by a sieving method or factoring. This after thousand(s) of years of searching for such. Alternatively great strides are made towards understanding the behavior of numbers, fields of numbers obtained by some method or another, statistics probabilities & entropies of such numbers, & so forth, & it seems that it is assumed that a better method (but not 'full') for determining primality will appear as an afterthought or byproduct. In this letter we wish to revitalize the interest of the intrepid professional & amateur mathematician & scientist towards seeking the 'full' or 'complete' method of determining primality, or rather towards obtaining the method by which a prime odd integer can be determined completely, simply and efficiently & with applicability to small to very large numbers with a minimum of effort eschewing supercomputing & other recent methods however by utilizing methods resembling pencil & paper approaches.

The caveat that we wish the 'method(s)' to be efficient and simple means specifically that we are referring to the utilization of methods such as digital sums & digital roots, modulus methods, combinatorial & progressions & recursions patterns easily applied, these connected to geometries, polynomial equations and relationships, discernible patterns in sieves and doodles and spirals & other topologies investigated in one context or another yet often deemed curiosities when viewed from the focused area of number theory as pertaining to identifying primes.

>>3854

This was another paper that was interesting:

Carlo Cattani, 2010

One of the main tasks in the analysis of prime numbers distribution is to single out hidden rules and regular features like periodicity, typical patterns, trends, etc. The existence of fractal shapes, patterns and symmetries in prime numbers distribution are discussed.

Fractal Patterns in Prime Numbers Distribution https:/ /www.researchgate.net/publication/221433042_Fractal_Patterns_in_Prime_Numbers_Distribution

and check out the Modulo 2pi plots by H. Sabelli (image attached):

The Biotic Pattern of Prime Numbers

Supports the Bios Theory of Creative

Evolution from Radiation to Complexity

http:/ /www.necsi.edu/events/iccs7/papers/3114216e0aebd76eb51ebe74680c.pdf

for those who love biology, Hibbs, 2008

The Double-Helix Pattern of Prime Number

Growth

http:/ /www.iaeng.org/publication/WCECS2008/WCECS2008_pp278-283.pdf

and on the fractal side, S. Woon 1994:

Riemann zeta function is a fractal

https:/ /arxiv.org/PS_cache/chao-dyn/pdf/9406/9406003v1.pdf

>>3856

You bet, I have many now, just posting a few relevant ones. I think the Fredrick one could be used when this is cracked to spread disinfo. "Using techniques adopted from this article, a team…"

Oh, and here's another link to 5 pages!!!

https:/ /intelligence.house.gov/uploadedfiles/memo_and_white_house_letter.pdf