Agent SkillsAgent Skills
binhmuc

problem-solving-techniques

@binhmuc/problem-solving-techniques
binhmuc
22
3 forks
Updated 4/6/2026
View on GitHub

Problem-Solving Techniques: Apply systematic problem-solving techniques for complexity spirals (simplification cascades), innovation blocks (collision-zone thinking), recurring patterns (meta-pattern recognition), assumption constraints (inversion exercise), scale uncertainty (scale game), and dispatch when stuck. Techniques derived from Microsoft Amplifier project patterns adapted for immediate application.

Installation

$npx agent-skills-cli install @binhmuc/problem-solving-techniques
Claude Code
Cursor
Copilot
Codex
Antigravity

Details

Path.claude/skills/problem-solving/SKILL.md
Branchmain
Scoped Name@binhmuc/problem-solving-techniques

Usage

After installing, this skill will be available to your AI coding assistant.

Verify installation:

npx agent-skills-cli list

Skill Instructions


name: Problem-Solving Techniques description: Apply systematic problem-solving techniques for complexity spirals (simplification cascades), innovation blocks (collision-zone thinking), recurring patterns (meta-pattern recognition), assumption constraints (inversion exercise), scale uncertainty (scale game), and dispatch when stuck. Techniques derived from Microsoft Amplifier project patterns adapted for immediate application. version: 2.0.0

Problem-Solving Techniques

Systematic approaches for different types of stuck-ness. Each technique targets specific problem patterns.

When to Use

Apply when encountering:

  • Complexity spiraling - Multiple implementations, growing special cases, excessive branching
  • Innovation blocks - Conventional solutions inadequate, need breakthrough thinking
  • Recurring patterns - Same issue across domains, reinventing solutions
  • Assumption constraints - Forced into "only way", can't question premise
  • Scale uncertainty - Production readiness unclear, edge cases unknown
  • General stuck-ness - Unsure which technique applies

Quick Dispatch

Match symptom to technique:

Stuck SymptomTechniqueReference
Same thing implemented 5+ ways, growing special casesSimplification Cascadesreferences/simplification-cascades.md
Conventional solutions inadequate, need breakthroughCollision-Zone Thinkingreferences/collision-zone-thinking.md
Same issue in different places, reinventing wheelsMeta-Pattern Recognitionreferences/meta-pattern-recognition.md
Solution feels forced, "must be done this way"Inversion Exercisereferences/inversion-exercise.md
Will this work at production? Edge cases unclear?Scale Gamereferences/scale-game.md
Unsure which technique to useWhen Stuckreferences/when-stuck.md

Core Techniques

1. Simplification Cascades

Find one insight eliminating multiple components. "If this is true, we don't need X, Y, Z."

Key insight: Everything is a special case of one general pattern.

Red flag: "Just need to add one more case..." (repeating forever)

2. Collision-Zone Thinking

Force unrelated concepts together to discover emergent properties. "What if we treated X like Y?"

Key insight: Revolutionary ideas from deliberate metaphor-mixing.

Red flag: "I've tried everything in this domain"

3. Meta-Pattern Recognition

Spot patterns appearing in 3+ domains to find universal principles.

Key insight: Patterns in how patterns emerge reveal reusable abstractions.

Red flag: "This problem is unique" (probably not)

4. Inversion Exercise

Flip core assumptions to reveal hidden constraints. "What if the opposite were true?"

Key insight: Valid inversions reveal context-dependence of "rules."

Red flag: "There's only one way to do this"

5. Scale Game

Test at extremes (1000x bigger/smaller, instant/year-long) to expose fundamental truths.

Key insight: What works at one scale fails at another.

Red flag: "Should scale fine" (without testing)

Application Process

  1. Identify stuck-type - Match symptom to technique above
  2. Load detailed reference - Read specific technique from references/
  3. Apply systematically - Follow technique's process
  4. Document insights - Record what worked/failed
  5. Combine if needed - Some problems need multiple techniques

Combining Techniques

Powerful combinations:

  • Simplification + Meta-pattern - Find pattern, then simplify all instances
  • Collision + Inversion - Force metaphor, then invert its assumptions
  • Scale + Simplification - Extremes reveal what to eliminate
  • Meta-pattern + Scale - Universal patterns tested at extremes

References

Load detailed guides as needed:

  • references/when-stuck.md - Dispatch flowchart and decision tree
  • references/simplification-cascades.md - Cascade detection and extraction
  • references/collision-zone-thinking.md - Metaphor collision process
  • references/meta-pattern-recognition.md - Pattern abstraction techniques
  • references/inversion-exercise.md - Assumption flipping methodology
  • references/scale-game.md - Extreme testing procedures
  • references/attribution.md - Source and adaptation notes

More by binhmuc

View all
ai-artist
22

Write and optimize prompts for AI-generated outcomes across text and image models. Use when crafting prompts for LLMs (Claude, GPT, Gemini), image generators (Midjourney, DALL-E, Stable Diffusion, Imagen, Flux), or video generators (Veo, Runway). Covers prompt structure, style keywords, negative prompts, chain-of-thought, few-shot examples, iterative refinement, and domain-specific patterns for marketing, code, and creative writing.

mobile-development
22

Build modern mobile applications with React Native, Flutter, Swift/SwiftUI, and Kotlin/Jetpack Compose. Covers mobile-first design principles, performance optimization (battery, memory, network), offline-first architecture, platform-specific guidelines (iOS HIG, Material Design), testing strategies, security best practices, accessibility, app store deployment, and mobile development mindset. Use when building mobile apps, implementing mobile UX patterns, optimizing for mobile constraints, or making native vs cross-platform decisions.

sequential-thinking
22

Apply structured, reflective problem-solving for complex tasks requiring multi-step analysis, revision capability, and hypothesis verification. Use for complex problem decomposition, adaptive planning, analysis needing course correction, problems with unclear scope, multi-step solutions, and hypothesis-driven work.

payment-integration
22

Implement payment integrations with SePay (Vietnamese payment gateway with VietQR, bank transfers, cards) and Polar (global SaaS monetization platform with subscriptions, usage-based billing, automated benefits). Use when integrating payment processing, implementing checkout flows, managing subscriptions, handling webhooks, processing bank transfers, generating QR codes, automating benefit delivery, or building billing systems. Supports authentication (API keys, OAuth2), product management, customer portals, tax compliance (Polar as MoR), and comprehensive SDK integrations (Node.js, PHP, Python, Go, Laravel, Next.js).