Guide
The math behind Hex Path scoring: why loops beat long walks
Doubling revisit points, a triangular travel bonus, and a 3x elimination payoff. Here is how Hex Path scoring really works, with worked numbers.
Most new Hex Path players treat it as a survival game: stay alive, stay away from the edge, and hope the others crash first. Survival matters, but the scoreboard decides the winner, and eliminated players keep their points. To win consistently, you need to understand where points come from.
This guide breaks down the three scoring rules, using the default settings, and shows the numbers that should shape your decisions.
Rule 1: revisits double
Each time your path enters a hex, you score for that hex. The first entry is worth 1 point, and every later entry into the same hex is worth twice the one before.
The nth visit to a hex is worth 2^(n−1) points. Add them up, and a hex you enter k times is worth 2^k − 1 points in total:
| Times you enter one hex | Points for that visit | Total from that hex |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 2 | 3 |
| 3 | 4 | 7 |
| 4 | 8 | 15 |
| 5 | 16 | 31 |
| 6 | 32 | 63 |
Compare that with spreading out. Six visits to six different hexes score 6 points. Six visits to the same hex score 63.
Takeaway: a compact path that keeps crossing back through its own territory beats a long path that wanders across the board. Dense tiles (the default of 9 paths per tile) make these loops possible because a single hex can carry your path through it several times.
Rule 2: the travel bonus grows with run length
When you place a tile, your path can travel through many hexes in one go if it connects into tiles already on the board. Each hex in that run earns an extra bonus: +1 for the first hex, +2 for the second, +3 for the third, and so on.
For a run of L hexes, the travel bonus is 1 + 2 + … + L = L(L + 1) ÷ 2, a triangular number:
| Hexes in one run | Travel bonus |
|---|---|
| 1 | 1 |
| 2 | 3 |
| 3 | 6 |
| 5 | 15 |
| 8 | 36 |
| 10 | 55 |
The bonus grows faster than the run. Two separate runs of 3 hexes earn a travel bonus of 6 + 6 = 12. One run of 6 hexes earns 21.
Takeaway: one long chain reaction is worth more than several short moves. Lay tiles that leave unfinished loops behind you, so a later placement can send your path back through all of them at once.
Rule 3: an elimination triples the turn
If your placement eliminates at least one opponent and you survive, you get a bonus equal to twice the points that placement scored. The turn ends up worth three times its normal value.
That makes timing everything:
| Placement score before the bonus | Bonus | Turn total |
|---|---|---|
| 2 (a short one-hex move) | 4 | 6 |
| 10 | 20 | 30 |
| 30 (a long run with revisits) | 60 | 90 |
The bonus applies once per placement, no matter how many opponents go out. Eliminating two players on a 10-point turn still earns a 20-point bonus. You do earn the Double Down achievement, though.
Takeaway: a cheap elimination isn't worth much. If you can see a rival heading for the edge, ask whether you can delay the push until your own move also includes a long run.
Putting the rules together
Here's a single placement that sends your path through five hexes, two of which you have visited before:
| Step | Hex | Visit number | Visit points | Travel bonus | Subtotal |
|---|---|---|---|---|---|
| 1 | New tile | 1st | 1 | 1 | 2 |
| 2 | Old loop | 3rd | 4 | 2 | 6 |
| 3 | Fresh hex | 1st | 1 | 3 | 4 |
| 4 | Old loop | 2nd | 2 | 4 | 6 |
| 5 | Fresh hex | 1st | 1 | 5 | 6 |
Total: 24 points. If the same tile also pushes an opponent off the board, add a 48-point bonus, for 72 points on one turn.
What this means for strategy
- Score is not survival. An eliminated player keeps every point. A player who scores 120 and then goes out still beats a player who survives with 80.
- Build where you will return. Loop back into your own trail whenever it's safe. Each return to a busy hex is worth more than the last.
- Bank runs for later. Leave half-finished connections that a future tile can link up into one long run.
- Save eliminations for big turns. Pushing someone off the board is worth the most when your own path is also traveling far.
- Watch the leader's loops. If an opponent's path keeps circling one region, every pass through it is getting more valuable. Sometimes the best defense is to end that path early, even for a small bonus.
How house rules change the math
The host can change all three numbers in the lobby:
- Visit multiplier: 2 by default. At 3, the fourth visit to a hex is worth 27 instead of 8, and loops dominate everything. At 1, every visit is worth the same and spreading out becomes viable.
- Travel bonus scale: 1 by default. At 0, the triangular bonus disappears and long runs are worth only their visit points.
- Elimination bonus: 2 by default. At 0, aggression earns nothing extra. At 5, every elimination is worth six times the turn.
We cover our favorite combinations in Hex Path house rules.