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
- Pick the best-fit agent above. If two or more fit, run
tools/genius-invoker.sh route "<problem>"and take the top ranked match. - Load it:
tools/genius-invoker.sh invoke <agent> "<problem>", then readagents/genius/<agent>.mdin full. - 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. - ramanujan output is conjecture by definition: chain a prover
(
tools/genius-invoker.sh compose ramanujan lamport -- "<problem>"or hand to dijkstra) before anything ships. - If no shape above matches, use a standard team agent 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.