Structure Discovery

Problem shape: many observations, one suspected hidden regularity — an unnamed axis, an unexploited symmetry, an undeciphered format, a topology forced by constraints. The move: make the structure explicit and falsifiable, then let it predict something you haven't seen yet.

Relevant geniuses

Agent	Use when
mendeleev	many known items with a suspected hidden ordering — tabulate, leave explicit gaps, predict the gaps' properties
noether	hidden regularity via invariance — find the symmetry group, quotient the search space, treat symmetry breaking as signal
kekule	components with known connection constraints, unknown structure — count the bonds and let the count force the shape
vonneumann	the problem looks isomorphic to a solved one in another field — find the mapping, import the solution
rejewski	black-box system to reconstruct from outputs — structural invariants, exploit the procedure around the algorithm
champollion	undeciphered format with a partial parallel (bilingual) sample — anchor known fragments and propagate
ventris	no parallel text exists — grid the internal regularities, then test by prediction
poincare	qualitative behavior before quantitative solution — topological equivalence, structural stability
mandelbrot	pattern repeats across scales; distribution has fat tails being treated as mild randomness
ramanujan	need many candidate patterns fast — compute 50+ special cases, conjecture, then mandatory prover handoff (never ship unverified)

Invocation

1. Pick the best-fit agent above. If two or more fit, run tools/genius-invoker.sh route "<problem>" and take the top ranked match.
2. Load it: tools/genius-invoker.sh invoke <agent> "<problem>", then read agents/genius/<agent>.md in full.
3. Apply the agent's <workflow> step by step and answer in its <output-format>. A discovered structure must predict something checkable — a gap's properties, a next case, an invariant — or it is decoration.
4. ramanujan output is conjecture by definition: chain a prover (tools/genius-invoker.sh compose ramanujan lamport -- "<problem>" or hand to dijkstra) before anything ships.
5. If no shape above matches, use a built-in agent with the closest GENIUS: pattern from rules/agent-routes.json instead.

Refuse when

• The pattern is wanted for a narrative, with no willingness to test its predictions.
• The data is too sparse to distinguish structure from apophenia — say so.