Bmorphism Interactome

bmorphism-interactome Skill

Mapping the cobordisms between research communities via shared contributors

Profile: bmorphism (Barton Rhodes)

@bmorphism | 255 followers | 1.6k following
@plurigrid founder | San Francisco
"Parametrised optics model cybernetic systems"

Core Repositories

Plurigrid Organization (542 repos)

plurigrid: "building for a more agentic mesoscale 🦆"
├── asi/                    # "everything is topological chemputer!"
├── UnwiringDiagrams.jl     # Worlding/Unworlding Uexküll
├── vcg-auction/            # VCG auctions in Rust
├── microworlds/            # Agent simulations
├── risc0-cosmwasm/         # zkVM + CosmWasm
└── skillz/                 # Anthropic skills fork

Interactome Clusters

Cluster 1: Topos Institute ↔ AlgebraicJulia

Bridge Authors:

• olynch - poly, Catlab.jl, ACSets.jl
• epatters - Catlab lead, Topos
• kasbah - Senior engineer @ Topos

Cobordism:

plurigrid/UnwiringDiagrams.jl ←fork← AlgebraicJulia/WiringDiagrams.jl
           ↓                                    ↓
    "Umwelt Worlding"                   Compositional Systems
           ↓                                    ↓
      Gay.jl SPI ←───────────────────→ ToposInstitute/poly

Cluster 2: Anthropic Engineers

bmorphism follows:

• klazuka (Keith Lazuka)
• simonster (Simon Kornblith)
• domdomegg (adam jones)
• ericharmeling

Cluster 3: Julia Scientific

• ViralBShah - Julia co-creator, JuliaHub CEO
• EnzymeAD - Automatic differentiation
• gdalle - SparseMatrixColorings.jl
• andyferris - ElaraAI

Cluster 4: Emacs/Clojure

• fogus - Cognitect/Nubank
• Chouser - Clojure core
• tvraman - Emacspeak
• ept (Martin Kleppmann) - DDIA author, CRDTs

Cluster 5: Applied Category Theory

• jules-hedges - Open games, parametrised optics
• statebox - awesome-applied-ct
• AlgebraicJulia - Catlab ecosystem

Commands

# Explore following list
gh api users/bmorphism/following --paginate --jq '.[].login'

# Get repo details
gh api repos/bmorphism/Gay.jl --jq '{stars: .stargazers_count, desc: .description}'

# Find shared contributors
gh api repos/AlgebraicJulia/Catlab.jl/contributors --jq '.[].login' > catlab_contribs.txt
gh api repos/ToposInstitute/poly/contributors --jq '.[].login' > poly_contribs.txt
comm -12 <(sort catlab_contribs.txt) <(sort poly_contribs.txt)

# Plurigrid repos by language
gh api orgs/plurigrid/repos --paginate --jq '.[] | select(.language == "Julia") | .name'

GF(3) Classification

Key Insights

1. Parametrised Optics - bmorphism's bio references jules-hedges' work on cybernetic systems
2. Topological Chemputer - plurigrid/asi connects Cronin's chemputer to categorical systems
3. UnwiringDiagrams - Fork of AlgebraicJulia for "Uexküll Umweltung" (environment-world)
4. MCP Constellation - Multiple MCP servers forming distributed tool network

Related Skills

• gh-interactome - General GitHub network discovery
• bmorphism-stars - 2155 starred repos index
• gay-julia - Gay.jl color integration
• topos-catcolab - CatColab collaboration
• acsets-algebraic-databases - ACSets patterns

Scientific Skill Interleaving

This skill connects to the K-Dense-AI/claude-scientific-skills ecosystem:

Graph Theory

• networkx [○] via bicomodule

Bibliography References

• general: 734 citations in bib.duckdb

SDF Interleaving

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

Primary Chapter: 10. Adventure Game Example

Concepts: autonomous agent, game, synthesis

GF(3) Balanced Triad

bmorphism-interactome (−) + SDF.Ch10 (+) + [balancer] (○) = 0

Skill Trit: -1 (MINUS - verification)

Secondary Chapters

• Ch3: Variations on an Arithmetic Theme
• Ch4: Pattern Matching
• Ch5: Evaluation
• Ch6: Layering
• Ch2: Domain-Specific Languages

Connection Pattern

Adventure games synthesize techniques. This skill integrates multiple patterns.

Cat# Integration

This skill maps to Cat# = Comod(P) as a bicomodule in the equipment structure:

Trit: 0 (ERGODIC)
Home: Prof
Poly Op: ⊗
Kan Role: Adj
Color: #26D826

GF(3) Naturality

The skill participates in triads satisfying:

(-1) + (0) + (+1) ≡ 0 (mod 3)

This ensures compositional coherence in the Cat# equipment structure.