glass-bead-game

glass-bead-game is a skill for Claude Code from plurigrid/asi. It costs 30 tokens per session (1,753 once invoked), scanned A, original, MIT.

An interdisciplinary synthesis game that connects ideas from mathematics, music, and philosophy through shared structure.

In plain words
What is it for?
Use it to explore cross-disciplinary analogies involving mathematics, music, philosophy, and formal systems.
Why use it?
It offers a guided way to find meaningful relationships between concepts from otherwise distant fields.

Skill for Claude Code

Written for Claude Code: shipped in a Claude Code plugin.

Part of the topos-skills plugin — 29 skills shipped together

Good fit Use it to explore cross-disciplinary analogies involving mathematics, music, philosophy, and formal systems.

Compare 6 skills from other repositories ↓
Install with agentmods
npx agentmods add skills/plurigrid/asi/glass-bead-game
Install

Getting it into your agent

One page per mod, every tool's command on it. A separate URL per tool would split the same page into five that compete with each other.

Any agent
npx skills add plurigrid/asi --skill glass-bead-game
Clone the repo
git clone --depth 1 https://github.com/plurigrid/asi

Made for: Claude Code.

Or install topos-skills, the plugin that ships this one along with the rest of its 29 skills.

Wrote this? Show the measurements

A badge with what this costs and how it scanned, read live from this page, so it follows the numbers instead of freezing them. Markdown for a README, HTML for a documentation site or a project page.

agentmods badge for glass-bead-game

README.md
[![agentmods](https://agentmods.dev/badge/skills/plurigrid/asi/glass-bead-game/github.svg)](https://agentmods.dev/skills/plurigrid/asi/glass-bead-game)
Your own site
<a href="https://agentmods.dev/skills/plurigrid/asi/glass-bead-game"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/glass-bead-game/github.svg" alt="Measured on agentmods" height="20"></a>

Or the 80×15 button, for a site that already has a row of RSS and ATOM ones. Only the verdict fits; the numbers stay here.

agentmods 80×15 button for glass-bead-game

Your own site · 80×15
<a href="https://agentmods.dev/skills/plurigrid/asi/glass-bead-game"><img src="https://agentmods.dev/badge/skills/plurigrid/asi/glass-bead-game.svg" alt="Reviewed on agentmods" width="80" height="20"></a>
Per session 30 Skills are progressive disclosure: only the name and description are preloaded; the body loads when the skill is used.
When invoked 1,753 The whole file, excluding the scripts and references it only reads on demand.
Security scan A 0 findings. A grade says what 26 rules found in the file — not that it is safe. Third-party audits
  • NVIDIA SkillSpector pass 7 Sept 2026
How audits are shown
Origin original No closer match found in the catalogue.
Token cost

What it costs to keep this loaded

Counted locally with the o200k_base tokenizer, which is exact for GPT models; Claude uses its own tokenizer and its counts differ. Treat this as one consistent yardstick across the catalogue rather than a bill. Prices are per million input tokens.

ModelPer sessionOnce invoked
Fable 5.1 $0.00030 $0.01753
Opus 5 $0.00015 $0.00877
Sonnet 5 $0.00006 $0.00351
Haiku 4.5 $0.00003 $0.00175

Measured 9d ago against content hash e514176ee38b, method: parsed. Prices are Anthropic first-party input rates as of 2026-09-10, from the pricing page.

Security

Grade A, and why

glass-bead-game scanned grade A with 0 findings against 26 rules in 11 categories — prompt injection, anti-refusal, data exfiltration, privilege escalation, supply chain, agent snooping, system-prompt leakage, SSRF and excessive agency — measured 9d ago.

A static scan of the body, not an audit. Every finding is printed with the line that produced it so you can judge whether it matters here. A mod is markdown that instructs an agent; that is exactly why what it instructs is worth reading.

Nothing flagged

None of the 26 patterns this scan looks for appear in this file: no shell pipes, no recursive deletes, no credential paths, no hidden text, no instruction-override or anti-refusal phrasing, no agent-config snooping. That is not a guarantee, it is the absence of the things that are checkable.

ies/music-topos/.claude-marketplaces/topos-skills/plugins/topos-skills/skills/glass-bead-game/SKILL.md · 231 lines

How it starts

The opening of the file, as written. The whole thing — 231 lines — stays where its author put it; the contents beside it link to each section on GitHub.

Glass Bead Game: Topos of Music

The Glass Bead Game (Glasperlenspiel) is an interdisciplinary synthesis engine that connects:

  • Mathematics (category theory, algebraic geometry, number theory)
  • Music (harmony, counterpoint, electronic synthesis)
  • Philosophy (Badiou's ontology, Girard's linear logic, Lawvere's topos theory)

Core Concept: World Hopping

Each bead represents a concept in a specific domain. Beads connect via morphisms that preserve essential structure. The game consists of finding paths between distant beads that illuminate hidden connections.

Badiou Triangle Inequality

For any three worlds W₁, W₂, W₃:

d(W₁, W₃) ≤ d(W₁, W₂) + d(W₂, W₃)

This is the triangle inequality that governs world hopping:

  • Being: Current ontological state (the bead's position in possibility space)
  • Event: A rupture that creates new possibilities (the hop between worlds)
  • Truth: What persists across the transition (the invariant structure)

Distance Metric

Distance between worlds is measured by:

def world_distance(w1, w2)
  being_diff = (w1.seed ^ w2.seed).to_s(2).count('1')  # Hamming distance
  event_diff = (w1.epoch - w2.epoch).abs               # Temporal distance
  truth_diff = conjugacy_distance(w1.invariant, w2.invariant)
  
  Math.sqrt(being_diff**2 + event_diff**2 + truth_diff**2)
end

Bead Types

Mathematical Beads

  • Number: Prime, composite, transcendental, p-adic
  • Structure: Group, ring, field, category, topos
  • Morphism: Homomorphism, functor, natural transformation
  • Invariant: Fixed point, eigenvalue, cohomology class

Musical Beads

  • Pitch: Frequency, pitch class, interval
  • Harmony: Chord, progression, voice leading
  • Rhythm: Duration, meter, polyrhythm
  • Timbre: Spectrum, envelope, modulation

Philosophical Beads

  • Ontological: Being, becoming, event, void
  • Logical: Proposition, proof, cut, polarity
  • Categorical: Object, morphism, limit, adjunction

Read the full file on GitHub · 231 lines

Changes

What this file has done since we first saw it

Hashed on every crawl. A supply-chain change to an agent config is a question of when, not whether, so the history is kept rather than the latest state alone.

  1. 9d ago First seen · 231 lines · 30 tokens per session scan A e514176ee38b

Subscribe to this mod's changes

glass-bead-game is a skill published in the GitHub repository plurigrid/asi (62 stars, last pushed 2mo ago), licensed MIT. It adds 30 tokens to every session and 1,753 once invoked, about $0.0002 per session on Opus 5. A static security scan graded it A with 0 findings. No closer match exists in the catalogue, so it is treated as the original; first seen 2026-09-01.

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