Conventionally, sums are visualised along a Number Line.
By creating new visualisation concepts, additions as operations and sums as results acquire new ‘visual qualities’:
- adding two summands in a “functional matrix” creates an n x n square or an n x m rectangle
- sums as single results create cell constellations or patterns within that ‘geometric context’.
Geometrically, sums appear in diagonal positions of cells in a spreadsheet.
Arithmetically, Odd and Even SUMMANDS result in Odd and Even SUMS.
Yet the diagonal nature of “Digital Visualisation” remains – no matter whether the contributing summands or the resulting sums are odd or even.