Universal Library vs Tree(3)

This game is a simulation of the universal library described in a short story, "The Library of Babel", by Jorge Luis Borges. The story can be found in several published collections and websites. As described, the Library contains all books of a certain size whose text is any possible sequence of lower-case letters and simple punctuation, even if it is nonsense. This simulation is of an interesting corner of the Library, tiny compared to the Borges vision, but large enough to get lost in. The game is an explorable virtual environment with a few treasure-hunt-like activities leading to books with meaningful content. There is a book that players can erase and rewrite to make into their own "personal vindication", and a book with a practically infinite number of pages. Individual books are searchable. You can mark and return easily to any alcove with an interesting book.

Tree(3) is a puzzle game built on one of the largest numbers in mathematics. You build a sequence of small trees, one at a time. Each tree may use one more node than the last, and its nodes come in three colors. There is one rule: no earlier tree may ever be found inside a later one. The moment a shape repeats, the sequence ends. Kruskal's tree theorem proves every such sequence must end. TREE(3) is how long the longest one could run — a number so large it cannot be written down in the observable universe. Your score is how far you get before the rule catches you. MAIN GAME — Pure TREE(3). Start from a single node and extend as far as you can. Every game is a new best-score attempt. PUZZLES — A position and a bank of candidate trees. Pick the ones that don't repeat an earlier shape. Three tiers; the skill is reading embeddings at a glance. DAILY — One puzzle a day, the same for everyone. Share your result without spoiling it. CHALLENGES — Invite a friend and take turns extending one shared sequence. The player who repeats a shape loses. LEARN — Short lessons on the rule, the trap in the first move, and why the game has to end. Tree(3) is free to play. Optional coins buy hints and avatars; ads can be removed with a one-time purchase. Nothing you can buy is ever won from another player.