Computational & Topological Models — cube operators. Mini AI Labs visual system.
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VISUAL SYSTEM · MINI AI LABS
Near-black laboratory. Cyan live · bronze Λ-ghost · mint lock. No type on stills.
Record: CITY-LABS-VISUAL-SYSTEM-20260915.
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Green Line district · Computational and topological models
Green marks spatial carriers, topology, derived systems, and finite engineering models. Blue labels identify executable verification within the page; open physical bridges remain explicitly bounded. Open the Subway Python Transit Map.
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These plates use the exact finite-dimensional core as a computational primitive or coordinate system. Their algebraic components may be exact, while the larger cube, torus, compiler, or six-domain interpretations remain constructed models.
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A model is not weakened by being called a model. The label states precisely where mathematical necessity ends and engineering design begins.
47-Degree Spectral Polynomial Framework — Cyclic Coordinates for a Rank-47 Space
Six Scalars Mapped onto the Kartikeya Cube — Six-Domain Visualization Model
The plate defines a transparent model pipeline
$$ I_t\to X_t\to G_k(t)\to L_A(t)\to\{\lambda_2,\beta_0,\beta_1,P,H_p\}\to\Omega_A(t), $$
with a declared weighted score
$$ \Omega_A(t)=w_1\lambda_2(L_A)+w_2P(t)+w_3(1-\widehat H_p(t))+w_4B_{\mathrm{top}}(t)+w_5f_{\mathrm{flow}}(t). $$
This is a valid model once the weights, normalizations, graph rule, filtration, and raw trajectories are frozen. The annulus/ribbon/escape Betti labels are illustrative until recomputed from the source point clouds. The choice $k\approx6-7$ is a hyperparameter, not a first-principles consequence.
The exact $E_{47}$ projector can be applied after an explicit encoder $\mathcal E_{\mathrm{flock}}:\mathbb R^{47}\to V_2^{\otimes3}$ is declared. Without that map, a 47-scalar readout and a 47-dimensional kernel are dimensionally matched but not identified. The target $\Omega_c=0.376$ is a design target if inserted into the score or landscape; it is not independently discovered by the plotted morphology.
Status: model-dependent simulation architecture with an exact downstream projector available for testing. No statistical or experimental validation package is attached to the plate.