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

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.