The standard Settlers of Catan beginner layout — fixed terrain and numbers — gives every player the same experience. After a few games, experienced players memorize the optimal first settlements (the 5-6 cluster near ore and grain) and the board stops producing interesting decisions. A randomized board restores that initial tension of analysis under uncertainty.
True randomness, however, produces boards that are mathematically unfair: the 6 and 8 tokens (highest probability after 7) might land on adjacent tiles, concentrating value in one corner. Tournament Catan uses constrained randomization — random layout with rules that prevent clustering of high-value numbers. This generator applies those constraints.
The Probability Math Behind the Tokens
| Token number | Ways to roll (2d6) | Probability | Pips on token |
|---|---|---|---|
| 2 | 1 | 2.78% | 1 |
| 3 | 2 | 5.56% | 2 |
| 4 | 3 | 8.33% | 3 |
| 5 | 4 | 11.11% | 4 |
| 6 | 5 | 13.89% | 5 |
| 7 | 6 | 16.67% | Robber — no token |
| 8 | 5 | 13.89% | 5 |
| 9 | 4 | 11.11% | 4 |
| 10 | 3 | 8.33% | 3 |
| 11 | 2 | 5.56% | 2 |
| 12 | 1 | 2.78% | 1 |
What Constrained Randomization Prevents
- Adjacent 6-8 tokens: Two high-probability resources on touching tiles means one settlement can access both, giving a first-mover advantage that compounds throughout the game. The generator ensures 6 and 8 are never adjacent.
- Resource type clustering: Three ore tiles adjacent to each other and all carrying medium-to-high numbers makes ore the dominant resource, collapsing strategy diversity. The generator spreads resource types evenly.
- Port misalignment: A 2:1 wood port adjacent to a desert tile is useless. The generator optionally considers port adjacency when placing terrain.
Variants Supported
Beyond the base 3–4 player hexagonal layout (19 tiles, 18 tokens), the generator supports the 5–6 player extension (30 tiles, 28 tokens), Seafarers island boards, and custom hex counts for print-and-play expansions. Each variant adjusts the constraint rules to maintain fairness at different board sizes.