“PTOP (Periodic Table Of PRIMES) on the BIM: PART IV: #3”.
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Here is an older graphic, now overlayed with the NEW PRIMES-PPsets. Take all the Inner Grid cell values on the BIM that divide evenly by 24, color them YELLOW-ORANGE, and this is what you get. It showed that the Primitive Pythagorean Triangles (PPTs) always and exclusively fell on the Active ROWs—where the 1st Col. values were either YELLOW or ORANGE. Turns out the SAME is true for the PRIMES. They, too, only land on the Active ROWs. Note: some Active ROWs have neither PPT or PRIME, some have both, and some one but not the other.
Notice the pattern unfolding when the PRIMES Sequence (PS)-Fractals—3-5-7-11-13-17-19-23-29-...—from the horizontal and vertical AXIS combine on the BIM. Soon we will be looking at this pattern across the entire BIM grid.
Clarification: The BIM is NOT a traditional multiplication table. NO WAY. While the central Prime Diagonal (PD) does represent the squares of the AXIS #s, ALL the Inner Grid (IG) values are determined by the difference (∆) in their horizontal and vertical PD intercept values, e.i., 16 is PD 25 - PD 9 (25-9=16).
That said, in the PPsets as presented in the PTOP on the BIM, we will go from this standard approach, to overlaying key matrix values with the coordinates of their AXIS, i.e., 9 is overlayed with AXIS 3, AXIS 3 or simply 3,3 and 16 is overlayed with 3,5 and so on. This forms a “Sub-Matrix” of overlayed values that will be quite useful. Once you see how simple this overlay is, a great simplification overall will reveal itself.
One other note: the PPsets as 3,3–3,5-5,5–... form the EVENS by adding the set members, i.e. 3,3 = 3 + 3 = 6, and, a diagonal line from a given PPset back to the AXIS will reveal that EVEN.
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2020, Reginald Brooks
PRIMES Index
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