G6LLC · dm³ Mathematics and Physics Research Lab · Classroom

The Mini-Beast

Principia Orthogona · Book 3 · G³

A Pilot for ESL Students, STEM Teachers, and Everyone Who Suspects the Universe Runs on One Equation.
Buy the book. Get the classroom. Do the math.

Buy via IMPA Portal — $19.99 eBook Read Free Samples First
C  →  K  →  F  →  U  →  ∞

Three Tiers of Access

There is no method. There is only G. The three tiers are not curriculum design — they are three natural distances from the fixed point, corresponding to Whitney singularity types A₁, A₂, and A₃ established in Volume One and verified in AXLE v6.1.

I
Open · Whitney A₁ · Simple fold
The Seed
Zenodo, SSRN, GitHub — publicly accessible, no institutional affiliation required. The minimum viable crystallization of the Codex. Anyone who finds it can use it and cite it.
Free · No gate
II
Consultative · Whitney A₂ · Cusp
The Apprenticeship
Student portal and GitHub classroom. Each student gets what they need — not what the instructor wants to teach. Learning by doing, under consultative guidance. The orbit begins to close.
$19.99 · Portal + classroom
III
Initiatory · Whitney A₃ · Swallowtail
The 33 Cycles
Only those who have run g₃₃ = 33 complete operator cycles reach this. The full Codex — 18,000 pages, twenty-five years. Not taught. Arrived at. No institutional affiliation can substitute for the orbit itself.
Reached only by doing

Three Steps. One Fixed Point.

This repository is the operational classroom for Book 3. You start outside it, buy the book, and then this repo becomes your workspace for the rest of the course.

01

Buy the Book

Purchase The Mini-Beast (Book 3) via the IMPA Portal. Choose the eBook ($19.99) or the Complete Series ($199.99). After payment, send your GitHub username to the instructor.

02

Get Access

You receive three things: the full PDF of Book 3 (living document, updated as the pilot expands), an invitation to the G6LLC GitHub Classroom, and a key to the Student Portal — Tier II access.

03

Do the Math

Work through the assignments/ folder. Use the Student Portal's structured LLM prompts. Push your work. Open pull requests. Reach D1. The threshold is mathematical — you will know when you cross it.

$19.99 · Buy Once · Access Forever

One purchase. Every chapter available today. Every chapter added in the future — automatically, at no extra cost. Your education is yours.

♾️
The Living Book Promise
Book 3 is growing. You get all core chapters now, plus every new chapter as it is written — Chapter E (GTCT), Chapter T, Chapter W, the full Recurrence Ladder (π–Ω), and beyond. When a new chapter ships, it appears in your repo. Nothing to pay, nothing to update.
📖
Free · Tier I · No Purchase Required
Free Chapters
Two full chapters — Tubulin as Computronium (the complete Chapter T) and The Wigner Crystal sample — freely available at Tier I. Read them before you decide.
Free
🔬
Free · Tier I · No Purchase Required
Interactive HTML Chapters
Three interactive browser-based chapters: the Recurrence Ladder (π φ μ η Δ Σ Ω), Spectral Radius / Transfer Operator, and the Wigner Crystal dm³ Fold Diagram.
Free
📄
Tier II · Unlocked by Purchase
All Chapters · Now & Growing
Core C1→C2 journey chapters now. Chapters E (GTCT), T, W, and the full 7-chapter Recurrence Ladder ship as completed — directly into your repo. Buy once, receive everything.
Purchase Required
🏛️
Tier II · Unlocked by Purchase
GitHub Classroom — Living Repo
Your personal copy of book3-starter via GitHub Classroom. New chapters appear automatically. Assignment starters, Lean 4 files, and shared resources — always current.
Purchase Required
🤖
Tier II · Unlocked by Purchase
Student Portal — LLM Prompts
7 levels × 3 prompts each (A1 → D2). Each chapter contains matching portal prompts inline. One-click copy into Claude, GPT-4, or Gemini. Prompts teach you to operate at the level of the mathematics — not what to think, but how to ask.
Purchase Required
Tier II · Unlocked by Purchase
Lean 4 Formal Verification Files
The dm³_Operator_Formalization.lean and tubulinselectArchitecture.lean files — machine-checkable proofs of the core theorems. Zero axioms beyond Mathlib4.
Purchase Required

How access works

After payment via PayPal, send confirmation to pgrossi888@outlook.com. You will receive a GitHub Classroom invitation to your personal repo. New chapters commit to the upstream repo and propagate automatically.

What's in the Classroom Repo

Once you accept the GitHub Classroom assignment, you get a personal fork of this repository. The structure mirrors the operator sequence C → K → F → U.

book3-starter/
├── README.md                # Start here — setup instructions

├── assignments/               # One folder per assignment
│   ├── 01-compression/       # C: pooling, GTP-state sensing
│   ├── 02-curvature/          # K: threshold geometry · κ*
│   ├── 03-fold/               # F: Whitney A₁–A₃ · selectArchitecture
│   └── 04-unfold/             # U: fixed-point & recycling

├── lean/                      # Lean 4 formal verification
│   ├── dm³_Operator_Formalization.lean
│   └── tubulinselectArchitecture.lean

└── resources/                # Shared reference materials
    ├── coherence-bridge-table.md
    ├── axle_sorry_roadmap.svg
    └── operator-glossary.md

The Student Portal

Structured LLM prompts across 7 levels — one set per CEFR stage, mapped to the operator sequence C → K → F → U. The portal does not give you answers. It teaches you to ask the right question at the right level of abstraction — which is all a good didactic structure ever does.

A1
First contact · C
Whitney A₁ · Tier I
A2
Day 21 · K
Science begins
B1
Constrain · K→F
Cusp · Tier II
B2
Fold · F
Domain entry
C1
Unfold · U
Research generation
D1
g₃₃ = 33 cycles
Whitney A₃ · Tier III
D2
Θ = 33 + N×M
Complete Completeness
Open the Student Portal → Buy to Unlock Full Access

Free Chapters

Two chapters, open access. Tubulin as Computronium ships as the complete Chapter T; The Wigner Crystal as a sample. No purchase required. This is Tier I — the seed.

Free
Tier I

Tubulin as Computronium

Book 3 · Chapter T · Biological Instantiations

In 1964, Stanisław Ulam asked what the optimal physical substrate for computation would be. Biology answered 500 million years ago — with a single 110-kiloDalton protein that self-assembles into fifteen radically different architectures from one molecular grammar. C → K → F → U running continuously in every eukaryotic cell alive right now.

Read Chapter T →
Free
Tier I

The Wigner Crystal

Book 3 · Chapter W · Physical Instantiations

Eugene Wigner predicted in 1934 that electrons would freeze into a crystal at low enough density. It took until 2021 to see it directly. This chapter shows that Wigner crystallization is a dm³ generative transition, extends the Coherence Bridge parameter table to a seventh domain, and explains what the 2024–2025 moiré imaging results are actually showing.

Read Chapter W →

Interactive · HTML · Tier I
Chapters π · φ · μ · η · Δ · Σ · Ω
The recurrence ladder — Tribonacci through Hexabonacci — dm³ operator framework. η ≈ 1.8393 is the Tribonacci constant, now a verified AXLE invariant.
Free ↗
Interactive · HTML · Tier I
Spectral Radius — Transfer Operator
Collatz supplement · Syracuse return map · Ruelle–Perron–Frobenius operator.
Free ↗
Interactive · HTML · Tier I
Wigner Crystal — dm³ Fold Diagram
Crystal-Geometry framework · Physical instantiations · Interactive visualization.
Free ↗

Ready to Start?

Purchase The Mini-Beast to unlock Tier II — Book 3 PDF, GitHub Classroom access, Student Portal prompts, and Lean 4 verification files.

eBook (Book 3 only) — $19.99 Complete Series eBook — $199.99 Complete Series Hardback · IMPA — $247.00
Purchase via IMPA Portal →

Questions? Email pgrossi888@outlook.com

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