canonical plot
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Polar Shell Renderer
Reduced fractions at r = √n and θ = 2πk/n, with totient shell population, primitive roots, equal-area annuli, density hygiene, and exact TFG collapse.
Plots &
visualizations.
Polar first. Live motion second. 3D depth third.
The site is organized by what the visitor can inspect directly: number-theory plots, a live market-pressure rail, and rotatable geometric constructions. Legacy encoders remain available in the broader tools directory.
program map
⌘
Chamber-Lift Atlas
A node-link map of the corpus. Solid edges require a written shared identity; dashed edges are methodological only.
live public rail
Φ
Finance Weather
Rolling market-pressure visualizations with explicit no-trade and no-market-truth boundaries.
3D showpiece
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Rational Address Showpiece
The centered rational chamber inside the 1:2:3 sphere frame, with ray-snap readout and live divisor-band accounting.
3D math lab
▦
Centered Rational Chamber
GCD shells, Jordan conservation, six-cardinal projection, convention toggles, and a null baseline.
3D construction
△
Six Cardinal Picone
Two distinct recursive operators share a center in one inspectable construction. Same object, different rules kept separate.
Coming naturally next: a dedicated annular zeta-zero visualization would belong beside Polar as a radial sibling, but it must keep its own generator: r_m(ρ) ≈ 1/(m|ζ′(ρ)|), not r = √n.