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Harmonic Factorization Field (HFF)
The Mathematics Behind the HFF
F(n,d) = sin²(πn/d)
Iβ(n,d) = e−β sin²(πn/d)
When d divides n, sin²(πn/d) = 0, Iβ = e⁰ = 1, representing perfect resonance. Adjusting β focuses the field from smooth to sharp, making divisibility and multiplicity visible as geometry.
Intensity Curves Across β Values
β Sweep Animation
LCM(1–11) alignment at n = 27 720
Binary divisor grid around n = 2520 (LCM 1–10)
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