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
Details
Usage
After installing, this skill will be available to your AI coding assistant.
Verify installation:
npx agent-skills-cli listSkill 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 Symptom | Technique | Reference |
|---|---|---|
| Same thing implemented 5+ ways, growing special cases | Simplification Cascades | references/simplification-cascades.md |
| Conventional solutions inadequate, need breakthrough | Collision-Zone Thinking | references/collision-zone-thinking.md |
| Same issue in different places, reinventing wheels | Meta-Pattern Recognition | references/meta-pattern-recognition.md |
| Solution feels forced, "must be done this way" | Inversion Exercise | references/inversion-exercise.md |
| Will this work at production? Edge cases unclear? | Scale Game | references/scale-game.md |
| Unsure which technique to use | When Stuck | references/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
- Identify stuck-type - Match symptom to technique above
- Load detailed reference - Read specific technique from
references/ - Apply systematically - Follow technique's process
- Document insights - Record what worked/failed
- 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 treereferences/simplification-cascades.md- Cascade detection and extractionreferences/collision-zone-thinking.md- Metaphor collision processreferences/meta-pattern-recognition.md- Pattern abstraction techniquesreferences/inversion-exercise.md- Assumption flipping methodologyreferences/scale-game.md- Extreme testing proceduresreferences/attribution.md- Source and adaptation notes
More by binhmuc
View allWrite 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.
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.
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.
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).
