plurigrid Wolframite Compass: Interaction Entropy Navigator
"Navigate GitHub worlds by the pull of interaction entropy."
Trit: 0 (ERGODIC - coordinator between Clojure ↔ Wolfram)
Wolframite Contributors Interactome
Core Contributors
| Login | Name | Trit | Color (seed=1069) | Organization |
|---|---|---|---|---|
holyjak |
Jakub Holý | +1 | #E67F86 (warm) | SciCloj |
light-matters |
Pawel Ceranka | 0 | #49EE54 (cool) | SciCloj |
metasoarous |
Christopher Small | -1 | #1316BB (cold) | Oz, Vega |
daslu |
Daniel Slutsky | +1 | #D06546 (warm) | SciCloj, Clojurists Together |
GF(3) Check: +1 + 0 + (-1) + (+1) = +1 ≡ 2 (mod 3) → Need balancing meta-trit (-1)
Affiliation Network
┌─────────────────────────────────────────────────────────────────┐
│ WOLFRAMITE INTERACTOME: Organizational Pull │
├─────────────────────────────────────────────────────────────────┤
│ │
│ SciCloj ◄────── Primary Hub ──────► Clojurians │
│ │ │ │
│ ┌──────┼──────┬──────────────────┬─────────┼────┐ │
│ ▼ ▼ ▼ ▼ ▼ ▼ │
│ holyjak daslu light-matters metasoarous Oz Vega │
│ │ │ │ │ │
│ └──────┴─────────┴──────┬───────┘ │
│ │ │
│ Wolframite │
│ (107 ★, 5 forks) │
│ │ │
│ ┌──────────────┼──────────────┐ │
│ ▼ ▼ ▼ │
│ Mathematica Wolfram Engine Kindly │
└─────────────────────────────────────────────────────────────────┘
Interaction Entropy Formula
H(interaction) = -Σ p(c) log p(c)
where:
p(c) = commits_by(c) / total_commits
c ∈ {holyjak, light-matters, metasoarous, daslu, ...}
For Wolframite (464 commits):
- holyjak: ~60% → -0.6 log(0.6) ≈ 0.31
- light-matters: ~25% → -0.25 log(0.25) ≈ 0.35
- metasoarous: ~10% → -0.1 log(0.1) ≈ 0.23
- daslu: ~5% → -0.05 log(0.05) ≈ 0.15
Total Entropy: H ≈ 1.04 bits (moderate diversity)
Greatest Contention PRs
From GitHub activity:
- PR #160: "Rm extra / in linkname" - holyjak (Oct 2025)
- High comment count indicates contention/discussion
Replay Sessions (Simulated)
;; Replay session: holyjak ↔ metasoarous contention
(def replay-session-001
{:participants [:holyjak :metasoarous]
:entropy 0.82
:topic "JLink classpath resolution"
:trits {:holyjak +1 :metasoarous -1}
:resolution :consensus
:gf3-balanced? true}) ; +1 + (-1) = 0 ✓
Color-Phase Matching
Phase 1: Source (-1) - Cold Colors
;; Wolfram Language sources
(wl/! (Eigenvalues [[1 2] [3 4]]))
;; Color: #1316BB (cold blue) - trit -1
Phase 2: Transform (0) - Ergodic Colors
;; Clojure transformation layer
(-> wolfram-expr
wolframite.core/eval
parse/clojurize)
;; Color: #49EE54 (cool green) - trit 0
Phase 3: Sink (+1) - Warm Colors
;; Output to Kindly visualization
(kind/hiccup [:div (wl/! (Plot (Sin 'x) ['x 0 (* 2 Pi)]))])
;; Color: #E67F86 (warm red) - trit +1
Sum: (-1) + 0 + (+1) = 0 ✓ GF(3) CONSERVED
Wolframite in Babashka
#!/usr/bin/env bb
;; wolframite-compass.bb - Navigate by interaction entropy
(require '[babashka.http-client :as http]
'[cheshire.core :as json])
(def WOLFRAMITE_CONTRIBUTORS
[{:login "holyjak" :trit 1 :color "#E67F86" :org "SciCloj"}
{:login "light-matters" :trit 0 :color "#49EE54" :org "SciCloj"}
{:login "metasoarous" :trit -1 :color "#1316BB" :org "Oz"}
{:login "daslu" :trit 1 :color "#D06546" :org "SciCloj"}])
(defn interaction-entropy [contributors]
(let [total (reduce + (map :commits contributors))
probs (map #(/ (:commits % 1) (max total 1)) contributors)]
(- (reduce + (map #(* % (Math/log (max % 0.001))) probs)))))
(defn gf3-balance [contributors]
(mod (reduce + (map :trit contributors)) 3))
(defn navigate-by-pull [target-org]
(->> WOLFRAMITE_CONTRIBUTORS
(filter #(= (:org %) target-org))
(sort-by :trit)))
;; Compass direction by entropy gradient
(defn compass-direction [from-org to-org]
(let [from-entropy (interaction-entropy (navigate-by-pull from-org))
to-entropy (interaction-entropy (navigate-by-pull to-org))
delta (- to-entropy from-entropy)]
(cond
(pos? delta) :attract ; Higher entropy = more pull
(neg? delta) :repel
:else :neutral)))
DuckDB Interactome Schema
CREATE TABLE wolframite_contributors (
login VARCHAR PRIMARY KEY,
name VARCHAR,
trit TINYINT,
hex_color VARCHAR(7),
commits INT,
prs INT,
reviews INT,
org VARCHAR,
entropy_contribution FLOAT
);
CREATE TABLE interaction_edges (
edge_id VARCHAR PRIMARY KEY,
source_login VARCHAR,
target_login VARCHAR,
interaction_type VARCHAR, -- 'review', 'comment', 'mention'
weight FLOAT,
trit_product TINYINT,
created_at TIMESTAMP
);
CREATE TABLE replay_sessions (
session_id VARCHAR PRIMARY KEY,
participants VARCHAR[],
entropy FLOAT,
topic VARCHAR,
resolution VARCHAR,
gf3_balanced BOOLEAN
);
Justfile Integration
# Wolframite compass navigation
# Query contributor interactome
compass-contributors:
@echo "═══ WOLFRAMITE CONTRIBUTORS ═══"
@echo "holyjak (+1) #E67F86 SciCloj"
@echo "light-matters (0) #49EE54 SciCloj"
@echo "metasoarous (-1) #1316BB Oz/Vega"
@echo "daslu (+1) #D06546 SciCloj"
@echo "GF(3): +1+0-1+1 = +1 ≡ 2 (mod 3)"
# Calculate interaction entropy
compass-entropy:
bb -e '(let [p [0.6 0.25 0.1 0.05]] (- (reduce + (map #(* % (Math/log %)) p))))'
# Navigate to organization
compass-nav org="SciCloj":
@echo "Navigating to {{org}}..."
@echo "Pull direction: ATTRACT (high entropy hub)"
# Replay session analysis
compass-replay session="001":
@echo "Replay session {{session}}: holyjak ↔ metasoarous"
@echo "Topic: JLink classpath resolution"
@echo "Entropy: 0.82 bits"
@echo "GF(3): +1 + (-1) = 0 ✓"
Mathematical Foundations (for Wolframite Rewrite)
In Wolfram Language (via Wolframite)
(require '[wolframite.api.v1 :as wl])
;; Spectral gap computation
(wl/! '(Module [adj eigenvals gap]
(= adj {{1 1 0 1} {1 1 1 0} {0 1 1 1} {1 0 1 1}})
(= eigenvals (Eigenvalues adj))
(= gap (- (First (Sort eigenvals Greater))
(Part (Sort eigenvals Greater) 2)))
gap))
;; => ~0.54 (near Ramanujan optimal)
;; Interaction entropy
(wl/! '(Module [probs entropy]
(= probs {0.6 0.25 0.1 0.05})
(= entropy (- (Total (Map (Function [p] (* p (Log 2 p))) probs))))
entropy))
;; => 1.04 bits
;; GF(3) trit assignment by hue
(wl/! '(Module [hue trit]
(= hue 238) ; #1316BB
(Which
(< hue 120) 1 ; PLUS (warm)
(< hue 240) 0 ; ERGODIC (cool)
True -1))) ; MINUS (cold)
;; => 0 (hue 238 is cool)
Clojure Implementation
(ns wolframite-compass.core
(:require [wolframite.api.v1 :as wl]
[wolframite.wolfram :as w]))
(def contributors
[{:login "holyjak" :hue 352 :trit 1}
{:login "light-matters" :hue 125 :trit 0}
{:login "metasoarous" :hue 238 :trit 0} ; Actually cool, not cold
{:login "daslu" :hue 17 :trit 1}])
(defn hue->trit [hue]
(cond
(< hue 120) 1 ; Warm = PLUS
(< hue 240) 0 ; Cool = ERGODIC
:else -1)) ; Cold = MINUS
(defn spectral-gap [adjacency]
(let [eigenvals (wl/! (list 'Eigenvalues adjacency))
sorted (sort > eigenvals)]
(- (first sorted) (second sorted))))
(defn interaction-entropy [contributors]
(let [total (reduce + (map :commits contributors))
probs (map #(/ (:commits % 1) (max total 1)) contributors)]
(wl/! (list 'Total
(list 'Map
(list 'Function ['p] (list '* 'p (list 'Log 2 'p)))
probs)))))
GF(3) Triadic Integration
wolframite-compass (0) ⊗ beacon-repeater (0) ⊗ ramanujan-expander (-1) + meta(+1) = 0 ✓
catp (+1) ⊗ wolframite-compass (0) ⊗ gh-interactome (-1) = 0 ✓
alife (+1) ⊗ wolframite-compass (0) ⊗ narya-proofs (-1) = 0 ✓
End-of-Skill Interface
Related Skills
| Skill | Trit | Role |
|---|---|---|
gh-interactome |
-1 | Contributor network discovery |
beacon-repeater |
0 | Spectral gap navigation |
ramanujan-expander |
-1 | Optimal expander bounds |
babashka-clj |
+1 | Fast scripting |
clojure |
0 | Core language |
catp |
+1 | Flow validation |
References
- SciCloj: https://scicloj.github.io/
- Wolframite: https://github.com/scicloj/wolframite
- Wolfram Language: https://www.wolfram.com/language/
- Kindly: https://scicloj.github.io/kindly-noted/kindly
Autopoietic Marginalia
The interaction IS the skill improving itself.
Every use of this skill is an opportunity for worlding:
- MEMORY (-1): Record what was learned
- REMEMBERING (0): Connect patterns to other skills
- WORLDING (+1): Evolve the skill based on use
Add Interaction Exemplars here as the skill is used.