II: “ARITHMETICAL MATRICES”: Collections 6 – 9

6. “Diagonal Sums” of Odd and Even Summands

The Beauty of ODD and EVEN Sums along DIAGONAL Lines

7. Prime Numbers as “Diagonal Sums“

Visually, Vertical and Horizontal Summands create DIAGONAL Sums.
Arithmetically, every possible Sum is formed from all possible Summands.

8. “Digital Squares” of SemiPrimes

The Triangle (half a square) of Vertical Primes x Horizontal Primes results in more attractive and “diagonally symmetrical” patterns:

The Intricate TAPESTRY of PRODUCTS created from PRIME NUMBERS as FACTORS
Most intriguingly, only possibly comparable to the Strings of DNA, the Prime Factors with Last Digits 1 3 7 9 form this “Pattern of Regular Irregularity”: Products of Primes that act as “Vertical Twin Partners” in the ORTHOGONAL Pattern of Primes

9. The “SEQUENTIAL Factorisation” of SemiPrimes

This collection shows the ‘awkward overlap’ between ‘visible geometry’ and ‘invisible arithmetic’: the triangle (no 61) as half a matrix shows a diagonal of “PRIME SQUARES”. 62 and 63 show the “Prime Factors” next to the SemiPrime result,
just as 64 – but ‘tightened up’: no empty lines for Non-Primes.
65 shows SemiPrimes as “Prime Pair Partners” in the format of a “DIGITAL Table”.
66 shows the UNSORTED List and 67 the List of SORTED SemiPrimes,
using Prime 1 as secondary Sorting Criterion.

NEXT: III. “DIGITAL TABLES”: Collections 10 – 11

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