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DD parameter laboratory

Geometry, from parameter to attractor.

Inspect the angular atlas, select a parameter, and compare its self-similar set with the marked first-level difference.

Finite numerical survey43,173 rays · 13 × 41 × 81 grid · depths 9 and 10. The smooth toroidal embedding is a display convention. Its topology is not a classification of the connectedness locus.
Dataset and evidence scope
43,173sampled parameter rays
13weights between 0.35 and 0.65
—finite fingerprint components
—secondary radial components
—weight-persistent candidates
384 × 768maximum GPU display mesh

The numerical survey contains 13 sampled weights from 0.35 to 0.65 and a 41 × 81 angular grid. Angular cosine interpolation and a cubic spline in weight smooth the sampled outer exits; a finer display mesh does not add survey samples. Agreement between depths and apparent persistence are diagnostics; neither provides an interval certificate or proves a limiting topological feature.

Route objective weights and endpoints

Angular parameter atlas

Drag to orbit · wheel to zoom · click any symmetric copy to inspect · double-click to move the route end
Outermost sampled exit

Attractor · finite prefixes

Unequal branch ratios, deterministic prefixes, visible tail radius and finite status
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Radial survival bands

Every finite survival loss and re-entry is retained instead of assuming radial monotonicity
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Finite contact structure

Noncrossing chord core, paired prefixes and work-cap status
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Reproducibility record · state and numerical evidence