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’.

NEXT: Prime Patterns for Prime Numbers