# 2. “Digital RATIOS”

These emerged when exploring “Digital SUMS” [n x 10 + m] with their orthogonal, diagonal and ortho-diagonal symmetries, as shown below. 1 : 1 is the classical ratio for 450 diagonal symmetry as in the third picture. The last four, … Continue reading

# V. “NUMERICAL PLANES”: Collections 15 – 18

15. Odd Products in “Symmetrical Number Planes” 16. “Symmetrical Number Planes” for “Orthogonal Prime Axes” 17. The OrthoDiagonal Nature of “Digital Sums”: Leading Digits x 10 + Last Digit 18. “Digital Sums” in “Symmetrical Number Planes” NEXT: VI. SUMS and … Continue reading

# 5. “Symmetrical Number PLANES”

These screenshots allow for discovering numerical and digital symmetries that match physical ones: diagonal vs orthogonal [vertical or horizontal]; Top Left to Bottom Right Diagonal vs Top Right to Bottom Left Diagonal; top vs down this may also refer to … Continue reading

# What is Creative?

1. Mathematical Innovations (Theory) 2. Digital Implications (Practice) 3. Smart Visualisations (Technology) In summary, the appearance of Prime Numbers in many numerical contexts is a demonstration of:- NEXT: Prime Patterns for Prime Numbers

# Pattern Collections

To be watched as Carousels by clicking on the first picture of each collection. However, with a view to appreciating / grasping and understanding what you see, it may be best to open another browser and look at the “Titles … Continue reading

In a nutshell, this site is about the Pattern Collections as a ‘spine’ for over 60 pages that don’t tell a story but paint a big picture:- Explanations emerge to the long sought after solution to the Prime Number Puzzle … Continue reading

# Titles of Collections

As a Table of Contents or “Catalogue of Concepts“ – possibly best viewed in a second browser window – to accompany the Pattern Collections: I. “DIGITAL PYRAMIDS” Pyramids of Decimal and “Digital” Numbers The ‘big ideas’ of “Digital Numbers” and … Continue reading

# Banners for “Visual Impressionists”

These banners were created for the purpose of presenting my “Digital Number” patterns as digital art that is ‘backed’ by a digital currency. I chose Etherium (rather than Bitcoin which was the first one around) because it is used by … Continue reading

# 4. “Arithmetical MATRICES”

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; Digital Tables that separate Leading from Last Digits … Continue reading

# VI. SUMS and PRODUCTS: Collections 17 – 21

17. “Diagonal Sums” of Last Digits – in Orthogonal and Diagonal Chessboards Last Digit SUMS are the ‘arithmetical nugget’ of ‘geometrically diagonal‘ Sums.But there are a number of complementary concepts that need to be bridged for ‘grand unification’: Number: Odd … Continue reading