patterns

The plugin ships with 15 numbered, copy-paste-ready computation patterns split across domain-specific files in ${CLAUDE_PLUGIN_ROOT}/skills/wolfram-hart/references/.

Present them based on the user's argument:

If no argument was provided ($ARGUMENTS is empty): Show this index grouped by domain:

Core (patterns-core.md)

1. Quick Calculation
2. Symbolic Result with LaTeX
3. Solve and Format
4. Export Data as CSV or JSON + Anti-Patterns

Visualization (patterns-visualization.md) 4. 2D Plot to File 5. 3D Surface 6. Data Analysis Pipeline

Analysis (patterns-analysis.md) 7. Differential Equations 12. Optimization 13. Fourier / Laplace Transforms

Discrete & Structured (patterns-discrete.md) 8. Matrix Operations 9. Number Theory 14. Probability and Distributions

Applied (patterns-applied.md) 11. Unit Conversions 15. Image Processing

Tell the user they can run /wolfram-hart:patterns <number> or /wolfram-hart:patterns <keyword> to see a specific pattern.

If a number or keyword was provided (e.g. 7, plot, ODE, matrix): Determine which domain file contains the matching pattern using this mapping:

Patterns	File
1, 2, 3, 10	${CLAUDE_PLUGIN_ROOT}/skills/wolfram-hart/references/patterns-core.md
4, 5, 6	${CLAUDE_PLUGIN_ROOT}/skills/wolfram-hart/references/patterns-visualization.md
7, 12, 13	${CLAUDE_PLUGIN_ROOT}/skills/wolfram-hart/references/patterns-analysis.md
8, 9, 14	${CLAUDE_PLUGIN_ROOT}/skills/wolfram-hart/references/patterns-discrete.md
11, 15	${CLAUDE_PLUGIN_ROOT}/skills/wolfram-hart/references/patterns-applied.md

For keyword matches, use these associations:

• solve, latex, csv, json, export, calculate, simplify, expand, algebra, factor → patterns-core.md
• plot, graph, chart, visual, surface, 3d, regression, fit, listplot, barchart → patterns-visualization.md
• ode, diff eq, integral, integrate, calculus, derivative, series, optimize, minimize, fourier, laplace, transform → patterns-analysis.md
• matrix, eigenvalue, inverse, det, prime, factor integer, number theory, probability, distribution, histogram, statistics → patterns-discrete.md
• unit, convert, image, processing → patterns-applied.md

Use the Read tool to read the matching file, then extract and display only the matching pattern(s) in full, including the bash invocation and expected output. If no match, suggest the closest patterns from the index above.

If the Read tool fails (file not found), tell the user the patterns reference could not be loaded and suggest running /wolfram-hart:check to verify the installation.