Game simulation mathematics - ODEs, stability, control theory - 9 skills
Installation
npx claude-plugins install @tachyon-beep/foundryside-marketplace/yzmir-simulation-foundations
Contents
Folders: agents, commands, skills
Included Skills
This plugin includes 1 skill definition:
using-simulation-foundations
Router for simulation math - ODEs, state-space, stability, control, numerics, chaos, stochastic
View skill definition
Using Simulation-Foundations (Meta-Skill Router)
Your entry point to mathematical simulation foundations. This skill routes you to the right combination of mathematical skills for your game simulation challenge.
Purpose
This is a meta-skill that:
- ✅ Routes you to the correct mathematical skills
- ✅ Combines multiple skills for complex simulations
- ✅ Provides workflows for common simulation types
- ✅ Explains when to use theory vs empirical tuning
You should use this skill: When building any simulation system that needs mathematical rigor.
How to Access Reference Sheets
IMPORTANT: All reference sheets are located in the SAME DIRECTORY as this SKILL.md file.
When this skill is loaded from:
skills/using-simulation-foundations/SKILL.md
Reference sheets like differential-equations-for-games.md are at:
skills/using-simulation-foundations/differential-equations-for-games.md
NOT at:
skills/differential-equations-for-games.md ← WRONG PATH
When you see a link like [differential-equations-for-games.md](differential-equations-for-games.md), read the file from the same directory as this SKILL.md.
Core Philosophy: Theory Enables Design
The Central Idea
Empirical Tuning: Trial-and-error adjustment of magic numbers
- Slow iteration (run simulation, observe, tweak, repeat)
- Unpredictable behavior (systems drift to extremes)
- No guarantees (stability, convergence, performance)
- Difficult debuggin