demanufacture

decompose to understand

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ζ(s) = Σ 1/ns = Π 1/(1 − p−s)

The sum over all naturals equals the product over all primes — Euler, 1737

Interactive explorations
001

Euler's Product Formula

The fundamental decomposition. Watch the sum over naturals and product over primes converge to the same value. Euler's 1737 breakthrough made visible.

002

Harmonic Resonance

Each natural number as a composite vibration. Waves, spectra, and the inner product between numbers.

003

Riemann Zeros

The critical line, the prime staircase, and the interference waves that reveal the tuning of the arithmetic universe.

004

Demanufacture

Sonic archaeology inspired by Fear Factory. Decompose audio waveforms into frequency components using FFT. Isolate, analyze, reconstruct.