number theory

Integer Sequence Signatures via Recursive Difference | Steve Wait – April 2, 2025

The Process: The Result: A graphical signature, one unique for the initial integer sequence, is thus mapped. The overall representation appears as an inverted triangle, one whose base is presented at the top of the page. Values within the depiction that degenerated to zero are viewed as voids or negative space and can be represented with a color matching that of the background. This, while values that retain natural numbers are viewed as positive spaces and are represented by a gradient of colors applied across the range of values. At close proximity, the representation is pixelated. Zoomed out, distinctive patterns...

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Induced Dimensional Primality | Steve Wait – February 8, 2024

A Thought Experiment. Preface – An adequate accumulation of contextual datum can give rise to patterns, the comprehension of which offers understanding. It is however the data points themselves, their spatial and temporal juncture with lines of inquiry, that are fundamental. Whether these are literal or figurative in occurrence, all answers arrive as consequence of intersection. Having said this, as my enlightenment is my own, perhaps scrutiny will expose faults in the supposition that follows. A Note to the Reader – Areas of this thought experiment will require the temporary suspension of your knowledge regarding the foundational principles of prime...

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