Dimensional Analysis
Map the design space of a research area by discovering its fundamental dimensions (axes of variation), enumerating meaningful combinations, and identifying unexplored regions that represent novel opportunities.
Manifest
| Level |
Count |
Skills |
| Strategy |
3 |
dimension-discovery, combination-mapping, gap-prioritization |
| Tactic |
2 |
axis-extraction, matrix-generation |
| SOP |
6 |
dimension-page-creation, axis-validation, combination-enumeration, novelty-scoring, question-generation, matrix-export |
Budget Table
| Metric |
Small |
Medium |
Large |
| Dimensions identified |
3 |
6 |
10 |
| Axes per dimension |
3 |
5 |
8 |
| Combinations explored |
10 |
30 |
60 |
| Novel gaps identified |
3 |
8 |
15 |
| Questions generated |
5 |
12 |
25 |
Strategy Sequence (Reference, Not Prescription)
- dimension-discovery — identify fundamental axes of variation in the design space
- combination-mapping — enumerate interesting combinations, mark existing work
- gap-prioritization — rank unexplored combinations by novelty and feasibility
MCP Tools Used
vault_search — find existing coverage of dimension values
vault_add_edge — connect dimensions to concepts
vault_query_graph — explore existing dimension neighborhoods
vault_graph_stats — assess coverage completeness
Context-Management
Guiding Principles
- Dimensions are independent. If two axes always co-vary, they're likely one dimension.
- Completeness over depth. Map the full space first, then drill into promising regions.
- Empty cells are opportunities. An unexplored combination in a well-populated matrix is a research opportunity.
- Feasibility constrains. Not all combinations are realizable. Mark impossible combinations explicitly.
- Cross-domain dimensions. The most interesting dimensions often come from outside the domain.
Available Strategies
Optional, no fixed order; the final leaf is always a sop.
| Strategy |
When to use |
| dimension-discovery |
Strategy for identifying fundamental dimensions of variation in a design space. |
| knowledge-structuring-combination-mapping |
Strategy for enumerating meaningful combinations across dimensions and marking existing work. |
| knowledge-structuring-gap-prioritization |
Strategy for ranking unexplored combinations by novelty, feasibility, and potential impact. |
Available Tactics
Optional, no fixed order; the final leaf is always a sop.
| Tactic |
When to use |
| axis-extraction |
Tactic for systematically extracting axes of variation from literature — identify how practitioners compare approaches. |
| knowledge-compilation |
Tactic for compiling research findings into vault pages — orchestrates page creation, updates, edge linking, and index maintenance. Minimum yield ≥3 page operations per invocation. |
| matrix-generation |
Tactic for generating and populating combination matrices — cross dimensions to enumerate the design space. |
Available SOPs
Optional, no fixed order; the final leaf is always a sop.
| SOP |
When to use |
| context-checkpoint |
Append research process and results to the current Phase's context file. Covers both process and results with genuine substance. Use this skill at plan-designated checkpoint points — typically after each strategy completes or at key decision nodes within a research Phase. |
| context-init |
Create a new context file for a research Phase. Called once at Phase start to initialize the file that subsequent context-checkpoint calls will append to. Use this skill whenever a new research Phase begins and a fresh context file is needed. |
1---2name: dimensional-analysis3description: Campaign for mapping design spaces — discover dimensions/axes, enumerate combinations, identify gaps and novel opportunities. Produces dimensional maps in the wiki vault.4---56# Dimensional Analysis78Map the design space of a research area by discovering its fundamental dimensions (axes of variation), enumerating meaningful combinations, and identifying unexplored regions that represent novel opportunities.910## Manifest1112| Level | Count | Skills |13|-------|-------|--------|14| Strategy | 3 | dimension-discovery, combination-mapping, gap-prioritization |15| Tactic | 2 | axis-extraction, matrix-generation |16| SOP | 6 | dimension-page-creation, axis-validation, combination-enumeration, novelty-scoring, question-generation, matrix-export |1718## Budget Table1920| Metric | Small | Medium | Large |21|--------|-------|--------|-------|22| Dimensions identified | 3 | 6 | 10 |23| Axes per dimension | 3 | 5 | 8 |24| Combinations explored | 10 | 30 | 60 |25| Novel gaps identified | 3 | 8 | 15 |26| Questions generated | 5 | 12 | 25 |2728## Strategy Sequence (Reference, Not Prescription)29301. **dimension-discovery** — identify fundamental axes of variation in the design space312. **combination-mapping** — enumerate interesting combinations, mark existing work323. **gap-prioritization** — rank unexplored combinations by novelty and feasibility3334## MCP Tools Used3536- `vault_search` — find existing coverage of dimension values37- `vault_add_edge` — connect dimensions to concepts38- `vault_query_graph` — explore existing dimension neighborhoods39- `vault_graph_stats` — assess coverage completeness4041## Context-Management4243<HARD-GATE>44- Call `context-init` at campaign start45- Call `context-checkpoint` after each strategy completes46- Call `knowledge-compilation` after each strategy47</HARD-GATE>4849## Guiding Principles5051- **Dimensions are independent.** If two axes always co-vary, they're likely one dimension.52- **Completeness over depth.** Map the full space first, then drill into promising regions.53- **Empty cells are opportunities.** An unexplored combination in a well-populated matrix is a research opportunity.54- **Feasibility constrains.** Not all combinations are realizable. Mark impossible combinations explicitly.55- **Cross-domain dimensions.** The most interesting dimensions often come from outside the domain.5657<!-- BEGIN available-tables (generated) -->5859## Available Strategies6061Optional, no fixed order; the final leaf is always a sop.6263| Strategy | When to use |64| --- | --- |65| dimension-discovery | Strategy for identifying fundamental dimensions of variation in a design space. |66| knowledge-structuring-combination-mapping | Strategy for enumerating meaningful combinations across dimensions and marking existing work. |67| knowledge-structuring-gap-prioritization | Strategy for ranking unexplored combinations by novelty, feasibility, and potential impact. |6869## Available Tactics7071Optional, no fixed order; the final leaf is always a sop.7273| Tactic | When to use |74| --- | --- |75| axis-extraction | Tactic for systematically extracting axes of variation from literature — identify how practitioners compare approaches. |76| knowledge-compilation | Tactic for compiling research findings into vault pages — orchestrates page creation, updates, edge linking, and index maintenance. Minimum yield ≥3 page operations per invocation. |77| matrix-generation | Tactic for generating and populating combination matrices — cross dimensions to enumerate the design space. |7879## Available SOPs8081Optional, no fixed order; the final leaf is always a sop.8283| SOP | When to use |84| --- | --- |85| context-checkpoint | Append research process and results to the current Phase's context file. Covers both process and results with genuine substance. Use this skill at plan-designated checkpoint points — typically after each strategy completes or at key decision nodes within a research Phase. |86| context-init | Create a new context file for a research Phase. Called once at Phase start to initialize the file that subsequent context-checkpoint calls will append to. Use this skill whenever a new research Phase begins and a fresh context file is needed. |8788<!-- END available-tables (generated) -->