Word Turf Game Theory
Every Word Turf game opens on a board of random letters. Some math on how many different games that makes.
The short answer
Each cell is dealt independently, and any of the 26 letters can land on any cell. A 7×7 board has 49 cells, so there are 2649 possible starting boards — a number with 70 digits, roughly 1069.3. That is about the number of atoms in the Milky Way.
And that's the small board.
The largest board out-counts Go. Go is the game mathematicians reach for when they want a big number: its 19×19 board allows about 2×10170 legal positions, a figure computed exactly in 2016. Word Turf's 11×11 board has 26121 ≈ 10171.2 possible opening deals — about 8 times as many.
All three sizes
| Board | Cells | Possible starts | Digits | Roughly |
|---|---|---|---|---|
| 7×7 | 49 | 2649 | 70 | ~1069.3 |
| 9×9 | 81 | 2681 | 115 | ~10114.6 |
| 11×11 | 121 | 26121 | 172 | ~10171.2 |
For scale: atoms in the observable universe ≈ 1080. The 9×9 board passes that with room to spare, and the 11×11 board's count sits just above the number of legal positions in Go (≈ 2×10170), a game famous for exactly this kind of number.
The full 2649, all 70 digits
The full 2681, all 115 digits
The full 26121, all 172 digits
The honest version
Letters aren't dealt evenly — the game draws from a weighted bag built on the classic crossword-tile letter mix, so an E (12 in 98) is 12× more likely than a Q (1 in 98). Weighted deals repeat themselves more often than uniform ones, and information theory puts an exact number on it: the deal carries 4.32 bits per cell (an "effective alphabet" of about 20 letters instead of 26).
Counting only boards the game will realistically deal:
| Board | Typical distinct starts |
|---|---|
| 7×7 | ~1063.6 |
| 9×9 | ~10105.2 |
| 11×11 | ~10157.2 |
Smaller than the raw counts, and still astronomically past ever repeating.
What it means at the table
No one has ever played your board. If every person on Earth started a new 7×7 game every second for a billion years, the odds that any two of those games ever opened on the same board are about 1 in 1011. Every game you play is the first time that board has existed.
Openings can't be memorized. Chess strategy starts with book openings; Word Turf can't have any. Strategy here has to be principles, not memorized lines — which is why the tips on the strategy page are about shapes of play (flips, replies, counting) rather than moves.
Rare letters are rare on the deal, not gone from the game. On the opening 7×7 deal, about 6 cells are E while a Q turns up in only 40% of deals (71% on 11×11). But the bag never runs out: trays refill from it every turn, so over a whole game nearly the entire alphabet passes through the players' hands — on the bigger boards, effectively all of it. What stays scarce is the board itself. At any moment, a rare letter sitting on the board is probably the only copy, and every word it can join is a word your opponents didn't plan for either.