#MathematicalArt as #DigitalAssets with Scientific Significance
4. Pythagoras’ “OCTAGONAL” Sums of Squares
Would Pythagoras not have LOVED to see these patterns of his sums of squares? First we stick to his triangles:
Vertical n2 + Horizontal m2Two Triangles for One Square or RectangleSums ending in 5 are in Yellow Fields The Yellow Fields are like an ‘Inner Octagon’And even more inmost are Sums of Last Digit 1“Pythagoras Revisited” for a Pattern of Octagons What is the significance of these octagons of Last Digits 3 and 7 with ‘core diamonds’ of Last Digit 1? Individual digits count. And “Prime Digits” 2 3 5 7 especially in their “Digital Entanglement”!