**Complementary **to the conventional Number Line, I have used these shapes for visualising decimal numbers:

- Decimal Pyramids that create
- a
*left*Diagonal of Squares and a*right*Diagonal of Squares – 1;

- a
- Digital Tables that separate
*Leading*from*Last*Digits- and create spaces for “Vertical Prime Pairs” of Primes and SemiPrimes;

- Symmetrical Number Planes that reflect
- the symmetries of complex numbers
- and thus create the
*conceptual*numerical link on 2D paper or screens to the*physical*metric world in 3D space;

- Functional Matrices to produce:-
- Diagonal Sums
- creating
*diagonally symmetrical*sumsand sums_{ij}by adding summands from row_{ji}to summands in column_{i};_{j}

- creating
- Orthogonal Products
- creating
*orthogonally symmetrical*productsby multiplying factors from row_{ij}with factors from column_{i};_{j}

- creating
- Products of SemiPrimes
- creating
*orthogonally symmetrical*matrices by multiplying Prime1 in rowby Prime2 in column_{i}as SemiPrimes_{j}and SemiPrimes_{ji}above and below the_{ij}*Top Left to Bottom Right*Diagonal;

- creating
- Factorial Tables of SemiPrimes
- filling the gaps in the Digital Tables of Primes with SemiPrimes is achieved by following the series of results creating from multiplying
*Prime Factors*with_{i}*Prime Factors*_{j}:

- filling the gaps in the Digital Tables of Primes with SemiPrimes is achieved by following the series of results creating from multiplying

- Diagonal Sums

The matrices offer the full range of possible values from 1×1 to 109×109.

Next, we pick the SERIES of SemiPrimes, produced by the Prime Factors 7, 11 and 13:

And finally, altogether:

NEXT: Diagonal Sums, Orthogonal Products, Matrix of SemiPrimes and Tables of Prime Factors