The Finite-Observer Ledger
Interactive semidiscrete boundary scattering, odd reflected-power law, matched-pair falsifier, claim atlas, and six receipt-bound figures.
Tools.
Plot first. Inspect the rule. Keep the boundary visible.
Plots & research maps.
The canonical visual front door.
Polar Shell Renderer
Equal-area denominator shells for reduced fractions and primitive roots of unity.
Chamber-Lift Atlas
Program map with verified edges and status labels.
Prime-numerator shell renderer
The prior prime-numerator TFG renderer is preserved separately so it is not conflated with the canonical reduced-fraction Polar Shell object.
Live data & markets.
Descriptive weather, not trade signals.
Inscribed 3D geometry.
Rotate the body, then read the accounting.
Rational Address Showpiece
Centered chamber inside the 1:2:3 sphere frame.
Centered Rational Chamber
GCD shells, Jordan conservation, six-cardinal projection, and null baseline.
Six Cardinal Picone
Six-cardinal cone geometry with the √2/Pell and √3 inward operators kept distinct.
Utilities & origins.
The genuine origin story, preserved without making it the site's first impression.
ASCII Bridge
Theorem-addressed message lab.
UTF-8 Alpha
Wider byte-kernel bridge with an early mini-plot.
Maker's Mark
337-fraction reconstruction challenge.
Forge OS v16.3
Offline just-intonation sequencer and synth. Instrument, not measurement.