Seven Bridges.

Seven Bridges is a “stroll-and-write” game based on the famous mathematical problem, eventually proved unsolvable by Leonhard Euler: Can a pedestrian walk through the German city of Königsberg, crossing each of its seven bridges exactly once? Euler’s proof became a foundational one in the history of graph theory, but that’s beyond the scope of the game. (The game is currently unavailable, but I’ll update this post when Puzzling Pixel gets the next print run.)

In Seven Bridges, all players begin by marking in the same square on their pages, showing a grid map of the city with, indeed, seven bridges, along with thirteen ‘landmarks,’ some trees, lots of buildings, and numbers around the map’s edge. On each player’s turn, they roll the game’s six dice, which the players then draft, one at a time. The dice show seven different shapes of roads: a straight line, a cross, a T, an elbow, a half-street, a 2 with a straight line, or a 3 with a straight line. You must fill in roads on your map using the shape of the die you select, connecting one of the edges of the shape your existing network of roads. (In rare instances when you can’t legally do so, you may ‘downgrade’ to a less valuable shape.) The 2 | and the 3 | die faces mean you may draw a continuous line up to that many spaces long; you can go shorter than that, but you can’t break it apart or turn its direction. Each player gets to roll five times over the course of the game.

Passing landmarks, which are marked with single letters on the board, earns you the choice of eleven bonuses, seven immediate and four you can use later. The immediate bonuses match the shapes on the dice, so you can fill in one of those shapes on your board, following the usual rules. One of the extra bonuses allows you to fill in the handful of footpaths – bordered by dashed lines rather than solid ones – on the map. The other three are re-rolls, which either let you roll all remaining dice again, or stop the draft and distribute all remaining dice to players as you see fit.

You don’t have to cross all seven bridges to win this game, but you do get more points for crossing more bridges. You score for crossing bridges and passing by landmarks; the more of each, the more each subsequent one is worth. You score for the largest closed loop of roads/footpaths you completed by multiplying its number of bridges cross by the number of 90 degree turns in it; I think five is the maximum number of bridges you can possibly get, but you can absolutely get 8 or more right angles into a loop. You score a point for each building you pass, and for each tree you pass. You score for each road you take to the edge of the map, worth a number of points from 1 to 6 that is shown at that edge. And you score points for each bonus you received and used during the game, again from 1 to 6.

The game is kind of mathy under the hood, which strongly appeals to me; there’s a spatial relations aspect, and a clear push-your-luck aspect to the way you place your roads. You can go big, and end up without the shapes you need to complete a major route, or you can play it safe and hope no one else completes something larger. You can also head to certain areas of the map that are dense with trees but don’t promise you much in the way of other bonuses. There seem to be a lot of ways to win here, and just as many ways to screw it up.

I’ve only played this with two players, several times, however, and with a different opponent each time. Games took maybe 20-30 minutes, and if both players already know the rules, it could easily come in under 20. With two players, since you draft three dice on each roll, you only have ten total rolls over the course of the game. With the maximum of 6 players, you’d have 30 rolls, and that’s going to take some more time. Seven Bridges was first released at the very end of 2020, after my year-end list, so it qualifies for this year’s, and it has a very good chance to make my best of 2021 list. It’s quick to teach, offers very little downtime between turns, and does a fantastic job of bringing a mathematical puzzle into a board game format. It might be the best roll-and-write I’ve ever played.