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CURATED CATEGORY

Math tools

Visual math and statistics labs with formulas, simulation output, CSV/SVG exports, and explicit assumptions. These tools stay in the public review core because they produce a visible result, export, receipt, formula-backed model, or practical artifact.

Blue-Noise Voronoi Sampler Lab Math

Generate blue-noise point fields with best-candidate sampling, Lloyd-relaxed clipped Voronoi cells, SVG geometry proof, point CSV, cell CSV, Markdown notes and JSON receipt.

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Critical Percolation Threshold Lab Math

Visualize square-lattice percolation with cluster labeling, spanning-path detection, Monte Carlo threshold sweep, SVG map, cluster CSV, sweep CSV, Markdown notes and JSON receipt.

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Double Pendulum Chaos Visual Lab Math

Simulate an ideal double pendulum with standard equations, RK4 integration, energy drift, phase portrait, twin-state divergence, SVG chaos map, CSV exports, Markdown notes and JSON receipt.

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Gaussian Process Surrogate Optimizer Lab Math

Fit a visual Gaussian process surrogate from sparse x:y observations, inspect posterior uncertainty, compute expected improvement, and export the recommended next experiment with SVG, CSV, Markdown notes and JSON receipt.

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Kalman Filter Sensor Fusion Lab Math

Run a visual Kalman filter sensor-fusion lab with noisy measurements, filtered trajectory, innovation residuals, covariance diagnostics, estimate CSV, measurement CSV, Markdown notes and JSON receipt.

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Nash Equilibrium Payoff Matrix Lab Math

Solve 2x2 game theory payoff matrices with pure Nash cells, mixed-strategy probabilities, dominance notes, SVG payoff map, CSV, Markdown notes and JSON receipt.

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Optimal Transport Flow Map Lab Math

Build Sinkhorn optimal-transport flow maps with balanced source and target mass, route ribbons, cost heatmap, transport CSV, cost CSV, Markdown notes and JSON receipt.

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Orbital Resonance Atlas Lab Math

Build a visual orbital resonance atlas with Kepler formulas, period-ratio controls, conjunction geometry, Hill-spacing diagnostics, SVG map, ephemeris CSV, conjunction CSV, Markdown notes and JSON receipt.

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Queueing Theory Bottleneck Simulator Lab Math

Model M/M/c queue bottlenecks with Erlang C wait risk, SLA exceedance, staffing recommendations, burst-stress heatmap, SVG output, CSV exports, Markdown notes and JSON receipt.

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Reaction-Diffusion Morphogenesis Lab Math

Generate Gray-Scott reaction-diffusion patterns with formula-visible controls, pattern metrics, parameter sweep, SVG field map, CSV exports, Markdown notes and JSON receipt.

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Three-Body Gravity Visual Lab Math

Simulate the Newtonian three-body problem with exact acceleration, energy and angular momentum formulas, RK4 integration, SVG orbit map, trajectory CSV, invariant CSV, Markdown notes and JSON receipt.

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