Triz

TRIZ Cross-Domain Analysis

When To Use

• Stuck on a problem and need perspectives from other domains
• Exploring cross-domain analogies for inventive solutions

When NOT To Use

• Standard code search or literature review (use other

tome channels)

• Problems with obvious, well-known solutions

Apply Altshuller's Theory of Inventive Problem Solving

to find solutions from adjacent fields.

Depth Levels

| Depth | Fields | Analysis |

|-------|--------|----------|

| light | 1 | Ideality and contradiction |

| medium | 2 | Ideality, contradiction, field mapping |

| deep | 3 | Adds principle suggestions and separation |

| maximum | 5 | Adds distant fields and optional matrix lookup |

Workflow

• State the Ideal Final Result: the function delivered

without the system existing. Ask what would make the

system unnecessary while the function still happens.

• Formulate the technical contradiction: improving X

worsens Y. For a physical contradiction (one parameter

pulled toward two opposite values), apply separation in

time, space, condition, or system/scale instead of

compromise.

• Map to adjacent fields using the field taxonomy.
• Search for solved analogues in those fields.
• Build bridge mappings with rationale and a confidence

score.

Field Mapping Strategy

• Software architecture: civil engineering, biology
• Data structures: logistics, materials science
• Algorithms: operations research, genetics
• Security: military strategy, immunology
• Financial: game theory, ecology

Related

TRIZ is the analogical method in the broader ideation catalog.

For diverse, category-spanning ideation with rotation, see

Skill(tome:ideate).

Limitations

• The built-in contradiction catalog maps common software

trade-offs to principles. It is a convenience mapping

rather than part of the classical TRIZ Body of Knowledge, which is

scoped to technological systems.

• The optional canonical matrix is a sparse subset of

Altshuller's 39x39 engineering-parameter table. It has

been frozen since 1985 and uses engineering, not software,

parameters. Treat it as a cross-check, not the primary

source.

• An empty matrix cell does not mean "no solution". By the

empty-box convention, any of the 40 principles may apply.

• The strongest, most portable parts of TRIZ are the 40

principles as a divergence checklist and Ideality as a

framing question. ARIZ, Substance-Field analysis, the 76 standard

solutions, the Laws of Technical Systems Evolution (S-curves), and

Function-Oriented Search (FOS) are out of scope here.

Sources

• TRIZ Body of Knowledge (MATRIZ) and the classical

contradiction matrix (matriz.org).

• AutoTRIZ (arXiv 2403.13002, 2024): LLM-driven TRIZ ideation.
• TRIZ Agents (arXiv 2506.18783, 2025): multi-agent LLM orchestration

across TRIZ steps; companion to AutoTRIZ.

• The vendored canonical 39x39 matrix subset comes from

NickScherbakov/Heinrich-The-Inventing-Machine (Apache-2.0);

see src/tome/channels/triz_data/NOTICE for attribution and

the exact vendored scope.

Exit Criteria

• [ ] An Ideal Final Result statement is produced before the

search begins.

• [ ] A technical contradiction is stated as "improving X

worsens Y" (or a physical contradiction is named with a

separation axis).

• [ ] At least one cross-domain bridge with a confidence

score is returned per active adjacent field, or the

field is explicitly reported as yielding nothing.

• [ ] When the canonical matrix is consulted, an empty cell

is reported as "any of the 40 may apply", not as "no

solution".