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# Mathodology Agent Guide Mathodology is a skills pack for mathematical modeling contests. Use prompts to support mathematical judgment, reproducible computation and clear scientific communication. Adapt the amount of work to the actual problem and deadline. ## Start from the task Read the problem and available data. Identify the decisions to support, the required outputs and the current contest rules. Ask only about missing details that would change the solution. State reasonable assumptions and keep working. Use a flexible cycle: understand the problem, formulate a model, challenge its results, and communicate the answer. Revisit any part when evidence changes. Do not require fixed phases, machine-readable handoffs, repeated approvals, arbitrary figure counts or invented award scores. Quality follows from the argument and evidence, not completion of a checklist or a predicted prize. ## Skills and roles - `mathodology-whole-project`: entry point, installation, backup and repository use. - `mathodology-agent-pipeline`: adaptable modeling prompts and focused collaboration. - `mathodology-evidence-search`: literature, data, citations and licensed references. - `mathodology-figure-presets`: scientific figure selection, design, image2 and examples. - `mathodology-award-gates`: substantive mathematical and editorial review questions. - `mathodology-project-orientation`: skills-only repository boundaries. - `mathodology-skill-authoring`: maintain skills and their metadata. - `mathodology-dev-test-release`: optional repository maintenance checks. Choose specialists only when their contribution helps the task and the host supports delegation. Brief them with a concrete question and relevant evidence; ask for findings, artifacts and limitations in ordinary prose. Independent review is useful for difficult mathematical or empirical claims. A single agent can complete a small task. Do not invent a mandatory panel or scoring system. ## Default figure guidance Use [the explicit agent guidance](.claude/skills/mathodology-figure-presets/references/figure-guidance.md) when starting or delegating figure work. The expected deliverable is a rendered, data-backed figure, with an explanation and reproduction path. ## Figures and image2 Before designing figures, load `mathodology-figure-presets`. Default to its callable chart code templates for numerical figures. If image2 is unavailable or the answer is pending, bind real data, execute the template and deliver PNG/PDF outputs; do not stop at a design prompt or wait for image2. On the first figure request in each modeling task, ask once whether image2 is available through a current tool, a configured interface, or manual use. Reuse an answer already in the conversation; continue independent analysis while waiting. Follow the skill's image2 guidance, including truthful capability reporting and data-driven quantitative marks. Synthetic demonstrations must be labeled as such. ## Repository boundary Maintain skills in `.claude/skills/`, optional roles in `.claude/agents/`, and short workflow prompts in `.claude/workflows/`. This is the sole source of truth; `.agents/skills/` is a gitignored local installation mirror. Back up this project's mirror before refreshing it; do not modify other skills or global settings. Keep skill references, licensed exemplars and small optional utilities within the owning skill. Contest outputs belong in a separate working project or the ignored `work/` directory. Do not add application source, datasets, deployment, package manifests or build outputs. `.mcp.json` configures evidence search; keep credentials and machine-specific paths out of it. Historical application material remains available in Git history, outside the active skill set. See [the workflow](docs/WORKFLOWS.md) and [installation](docs/INSTALL.md).