# What is Creative?

## 1. Mathematical Innovations (Theory)

• The “Digito-Decimal” or “Digital” definition of Decimal Numbers opens up new arithmetical possibilities.
• The distinction between “Last” and “Leading” Digits is critical in terms of “numerical dimensions” and ”Orders of Magnitude”.
• The liberation of Number from the Number Line into “Symmetrical Number Planes” is the first step to matching symmetries of quantum mechanics for modelling 3D realities.

## 2. Digital Implications (Practice)

• The cell of a spreadsheet for Number offers functionality that is far superior to paper:
• as count across rows or columns
• as horizontal or vertical axis label
• as ‘player’ (summand or factor)
• as result (sum or product)
• as ‘quantum’ of a ‘visualisation unit’
• or ‘quantifier’ of ‘measuring units’ .

## 3. Smart Visualisations (Technology)

• Spreadsheet cells or ‘visualisation units’
• are positioned as a result of arithmetical calculations
• can be formatted for visual differentiation
• can reveal geo-metric shapes and patterns.
• Diagonal Sums” visualise the ‘multi-additional’ aspect of a sum of many possible summands.
• Orthogonal Products” visualise the ‘single-value’ result of a product as distinct ‘positional value’.
• The “Ortho-Diagonal Nature of Digital Sums” visualises ratios of numbers hitherto not seen.

In summary, the appearance of Prime Numbers in many numerical contexts is a demonstration of:-

• the different characteristics of sums and products
• the effects of shapes as visual contexts for numbers
• the use of spreadsheets as a ‘canvas with functionality’. The Visual Juxtaposition of Fourfold Symmetries: LEFT: “Vertical Right ↔ Left” versus RIGHT: “Horizontal Above ↕ Below” into the MIDDLE unification: “Vertical + Horizontal = Orthogonal” versus “Horizontal : Vertical = Diagonal”