PTOP--How To Make With Fractals

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What if the secret of the primes were to be more than just atomic-base units of the natural whole numbers.
What if they really gained their constructive prowess when their natural sequence — the PRIMES Sequence (PS = 3,5,7,11,13,17,19,23,29,31,...) — were tied together as PSs.
Yes as FRACTALS! PS-Fractals.

(This is easy enough to do, especially if we disregard PRIME 2, as ALL the remaining PRIMES are ODD #s. PRIME 2, the ONLY EVEN PRIME, could be thought of as composed of PRIME 1 + PRIME 1, but since we now do not allow 1 to be PRIME, 2 being there is really quite silly — a techno-derived result. Lose the 1, lose the 2!)

HERE IS YET ANOTHER ANIMATION MOVIE SHOWING JUST HOW EASY THIS IS!
The PS-Fractals are characterized as:
1. The strictly follow the PS;
2. The spacing — PRIME Gaps — between the PS is strictly followed;
3. When combined with another PRIME in sets — P1, P2 — to form PPsets, only 1 member of the set is variable, the
other remains constant, as the sets form groupings, strings or “TRAILS” of connected PPsets.

These three simple rules, combined with the PS-Fractal Set will combine —concatenate — with another PS-Fractal Set at each subsequent PS step within a given sequence — will allow one to form the entire PTOP (Periodic Table Of PRIMES) from scratch, without any direct reference to the BIM (BBS-ISL Matrix) from which it was originally derived.

Furthermore, and not without enormous significance, the P1, P2 members of ANY and ALL PPsets that sum to equal an EVEN # (Goldbach Conjecture), are ALWAYS symmetrically spaced (STEPS) from either side of the said EVEN/2.

This can be seen on the PTOP by simply dividing the EVEN by 2 and observing that the PPset members are always equal STEPS away to either side, except when the TRAIL ends and P1 = P2.

On the BIM, dividing the EVEN by 2 leads to a straight-line path to EVEN/2 on the Axis, and there one sees a very clear visual of how PPset members are always equal STEPS away to either side, except when the TRAIL ends and P1 = P2. Additionally, lines drawn from each respective P1, P2 will meet on that straight-line path at 90° forming a Right-angled isosceles triangle. All such PPsets that compose any said EVEN will have their Right-triangles on this same line.

The geometry of the PS-Fractals is clearly shown on the BIM and one could easily say is an important and inherent part of the very same Inverse Square Law (ISL) that informs the spacetime structure of the Universe!

See the PRIMES Index (brooksdesign-ps.net/Reginald_Brooks/Code/Html/MSST/TPISC/TPISC_IV_Details/PRIMES_index.html)

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