# Pattern Synthesis

> Extract common patterns from multiple instance outputs, find what persists

- Skill: `majiayu000/pattern-synthesis` (Agent Skill, multi-file: 2 files)
- Install (CLI): `npx skillmds add majiayu000/pattern-synthesis`
- Raw SKILL.md: https://api.skillmd.com/api/skills/majiayu000/pattern-synthesis/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Coding & Dev Tools
- Author: majiayu000 (https://skillmd.com/u/majiayu000)
- Updated: 2026-09-09
- Page: https://skillmd.com/skills/majiayu000/pattern-synthesis

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# Pattern Synthesis

## Purpose

When you run N instances, you get N outputs. Most will be different.

**Pattern synthesis asks:** What's the same across all of them?

What patterns **persist** even when the specific details change?

## The Key Insight

**Specific answer:** "The answer is 42"
**Pattern:** "The answer is always the answer when you ask the right question"

The pattern is more robust than the specific answer.

## Core Pattern

```
Instance 1: X₁ ─┐
Instance 2: X₂ ─┼─→ Pattern Extractor
Instance 3: X₃ ─┤    (what's the same?)
Instance 4: X₄ ─┘

Result: "All outputs have property P"
        "All outputs follow rule R"
        "The common thread is C"
```

## Key Features

1. **Invariant Detection** - What doesn't change?
2. **Structure Extraction** - What form is repeated?
3. **Noise Filtering** - What's signal vs. noise?
4. **Meta-Pattern Recognition** - Patterns about patterns
5. **Generalization** - From examples to principle

## Implementation

See: `.claude/skills/pattern-synthesis/pattern_extractor.py`

## Examples

**Input:** 4 different solutions to a problem
**Output:** "All solutions follow this architectural pattern"

**Input:** 6 different explanations of a concept
**Output:** "Core idea is X, the explanations just dress it differently"

**Input:** 10 different approaches to the same goal
**Output:** "No matter the path, you have to pass through these 3 gates"

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