recursive-string-diagrams | asi | ClaudePluginHub

Skill

recursive-string-diagrams

From asi

Generates random recursive string diagrams with white trapezoid primitives, composition (∘), tensors (⊗), traces (↺), and GF(3) trit coloring ensuring conservation; renders ASCII or DisCoPy.

developer-tools

$

npx claudepluginhub plurigrid/asi --plugin asi

Tool Access

This skill uses the workspace's default tool permissions.

Preview

Recursive random string diagram generation with white trapezoid as the atomic skill primitive.

SKILL.md

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Stats

Parent Repo Stars16

Parent Repo Forks5

Last CommitFeb 16, 2026

Used By2 plugins

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Tags

string-diagrams

recursive-diagrams

category-theory

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recursive-string-diagrams

Recursive random string diagram generation with white trapezoid as the atomic skill primitive.

Primitives

Symbol	Name	Meaning
`◁═══▷`	White Trapezoid	Skill = morphism with typed ports
`∘`	Compose	Sequential skill chaining
`⊗`	Tensor	Parallel skill execution
`↺`	Trace	Feedback loop / recursion

GF(3) Trit Assignment

Each white trapezoid carries a trit:

MINUS (-1): Constraining/validating skill
ERGODIC (0): Neutral/transforming skill
PLUS (+1): Generating/expanding skill

Conservation: Σ trits ≡ 0 (mod 3) across diagram

Usage

;; Generate random diagram depth 4
(random-diagram 0 4)

;; Render ASCII
(render-ascii diagram 0)

Example Output

⊗ tensor
  ↺ trace[1]
    ◁═══▷ [3→2] ergodic
  ∘ compose
    ◁═══▷ [2→2] minus
    ◁═══▷ [3→3] plus

Semantics (Rama Connection)

String Diagram	Rama Primitive
White Trapezoid	ETL topology
Compose (∘)	Depot chain
Tensor (⊗)	Parallel PStates
Trace (↺)	Recursive query

DisCoPy Integration

from discopy import Ty, Box, Diagram

# White trapezoid as Box
skill = Box('skill', Ty('in'), Ty('out'))

# Compose
d1 >> d2

# Tensor
d1 @ d2

# Trace
d.trace(n)

Skill Creation Protocol

Seed: White trapezoid with [inputs → outputs]
Recurse: Apply random {∘, ⊗, ↺} up to depth
Color: Assign GF(3) trits, verify conservation
Render: ASCII or DisCoPy SVG
Save: Write to ~/.claude/skills/<name>/SKILL.md

Related

discopy - String diagram library
acsets - Algebraic databases
rama-gay-clojure - Rama + GF(3) colors