Home Page

Welcome to my website!

About

Hello, I am Azerty, a math enthusiast, mostly interested in computability theory, numbers theory and googology.

My main profiles

• Discord server
• GitHub profile
• YouTube profile

My projects

Busy Beaver

Aims to enumerate and decide programs from various computational models and document discoveries.

• GitHub Repository — where to find scripts and documents
• Website — online programs simulators and visualizers
• Counting Incremental — currently in Pre-alpha
• Puzzle Game — currently in Pre-alpha, 20+ levels

YouTube Channel

I make faceless shorts (and occasionally standard videos) about mathematics.

Other

List of other projects. Most of them are currently paused.

• BBCS (paused) — a project that aims to enumerate and decide CounterScript programs (remaking in progress in the more recent Busy Beaver project)
• Notation Explorer (paused) — 30+ simple ordinal notations, beginner-friendly, up to lim(BMS)
• Counting Incremental (paused) — currently in Pre-alpha
• Puzzle Game (paused) — currently in Pre-alpha, 20+ levels

Interesting stuff

A list of links to (more or less serious) projects related to mathematics (mostly googology-related).

Note: some projects (mostly notation analysis) might have mistakes.

Docs & spreadsheets

• List of Busy Beaver functions — for popular programming languages
• Hardest Scratch projects list — a collection of Scratch projects that compute large numbers
• New Extended BAN — extention of Bird's Array Notation
• Massive Hyper-E number list — 146K+ numbers
• Meta Sheet Analysis — largest ordinal notation analysis sheet
• Unusual Notations — another notation analysis sheet
• Analysi — another notation analysis sheet

Notation analysis

• Transfinite BMS
• Bubby3's Tranfinite BMS
• Transfinite Entry PRSS
• Relative Value Sequence
• Extended Veblen
• Stability
• IBLP
• Fundamental Matrix System
• Fundamental Dimensional Matrix System
• GPrSS
• ψΩ OCF
• Diagonal Descending Matrix System
• H OCF
• OSSS
• Open Space Sequence System Outline

Wikis

• OEIS — Online Encyclopedia of Integer Sequences
• Life Wiki — about cellular automata
• Polytopes Wiki
• Busy Beaver Wiki
• Googology Wiki
• Esolang Wiki — about esoteric programming languages

Ordinal notations

• Garden of Ordinals — specialized in OCFs
• Hypcos Notation Explorer — for strong notations
• Waffle Notation Explorer — similar to Hypcos's but with more polished design

Content creators

• Numberphile — videos about numbers and mathematics, featuring mathematicians
• Truttle1 — make videos about (mostly esoteric) programming languages
• NO! — making fictional googology and numbers to infinity series
• Guest — made a series about their notation NIBN (140+ parts)

Communities

• BBchallenge — Discord server about BusyBeaver functions (beginner-friendly)
• LNGI and Counting Server — Discord server for LNGI and counting
• Googology and Apeirology Server — largest googology Discord server

Other

• Mathworld — general mathematics encyclopedia
• A New Kind of Science — online book about cellular automata
• Video about solving BB(5)
• Large Numbers — explanation of various googology concepts
• Numbers APlenty — website about number sequences
• Steps Toward Infinity — analysis of SAN, TON and other notations
• One to Infinity — includes list of Hyper-E googologisms by Sbiis Saibian
• Aarex's Googology — includes analysis of strong notations
• Pointless Large Number Stuff
• Ultimate Large Numbers List 2024 — over 9 hours long video about large numbers
• DShamlin Global LNGI
• Incremental Googology — an idle game about buying BMS upgrades
• Galaxy — a website where you can play incremental games