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recursive-string-diagrams

recursive-string-diagrams

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SKILL.md

Full skill instructions

recursive-string-diagrams

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

Primitives

SymbolNameMeaning
◁═══▷White TrapezoidSkill = morphism with typed ports
∘ComposeSequential skill chaining
⊗TensorParallel skill execution
↺TraceFeedback 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 DiagramRama Primitive
White TrapezoidETL 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

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

Related

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