An endless catalogue of board games. Every number resolves — deterministically, on any machine, for ever — to the same complete game: a theme, a board, a tight set of mechanics that actually fit each other, the components they imply, a generated rulebook, an imaginary designer, and one deliberately broken rule.
No two adjacent numbers are alike; the catalogue does not end.
A game here is a constraint walk: pick a core engine, satisfy what it needs with secondary mechanics that legally fit, derive the components, then choose a win condition the assembled set can actually be driven toward. Because the grammar only ever expresses combinations that cohere, every number you can open is a game that holds together — winnable by construction. (Catching the boring-but-legal games needs a bot that self-playtests each one; that's the next milestone, and it arrives with actually being able to play them.)
Kin to borges.mino.mobi, which does the same trick for medieval tales. The Ludographer is that apparatus re-aimed at the table.