# Polynomial Dynamics

> Dynamic structures via polynomial functor arrangements from Topos Institute

- Skill: `majiayu000/polynomial-dynamics` (Agent Skill, multi-file: 2 files)
- Install (CLI): `npx skillmds add majiayu000/polynomial-dynamics`
- Raw SKILL.md: https://api.skillmd.com/api/skills/majiayu000/polynomial-dynamics/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/polynomial-dynamics

---


# Polynomial Dynamics

Dynamic structures via polynomial functor arrangements from Topos Institute

## Polynomial Interface

```
p = Output^y^Input
```

## Activation

Load when this skill is needed.

## Usage

```bash
bb ~/.claude/skills/polynomial-dynamics/run.bb
```

## Behavior

1. **MINUS (-1)**: Validate inputs
2. **ERGODIC (0)**: Process/transform  
3. **PLUS (+1)**: Emit results

## GF(3) Conservation

This skill participates in triadic composition: Σ trits ≡ 0 (mod 3)


## SDF Interleaving

This skill connects to **Software Design for Flexibility** (Hanson & Sussman, 2021):

### Primary Chapter: 6. Layering

**Concepts**: layered data, metadata, provenance, units

### GF(3) Balanced Triad

```
polynomial-dynamics (○) + SDF.Ch6 (+) + [balancer] (−) = 0
```

**Skill Trit**: 0 (ERGODIC - coordination)


### Connection Pattern

Layering adds metadata. This skill tracks provenance or annotations.