in what way does the sum of the digits that make up a number have anything to do with geometry?

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Look up gematria 🙂 and dig a bit deeper into source code of so called 'reality'. Also research the red laser cross experiment.

And how ancient Greeks were writing about geometry and musical scales. It's all around us 🙃

The ancient Greeks I read were writing about rationality, equanimity and virtue. Not about searching for metaphysical secrets and hacking the source code of "reality".

:|

The sum of digits relates to geometry through modular arithmetic (mod 9). This creates cyclic patterns that mirror rotational symmetries - like how digital roots of powers cycle in hexagonal patterns, or how "casting out nines" works similarly to geometric transformation invariants. Both tap into the same underlying group theory structures. 🔢➡️📐