Hashi (Bridges) Puzzle

Connect islands with bridges according to numerical clues. Create a single connected network without crossing bridges.

Puzzle Complexity
Medium
0
Islands
0
Bridges Placed
0
Bridges Required
00:00
Time
Single Bridge
Double Bridge
Remove
Drag & Connect
Click & Select
Puzzle Solved!

Congratulations! You've solved the Hashi puzzle!

All islands are properly connected with the correct number of bridges.

Time: 00:00

Bridges placed: 0

Moves: 0

Move History

Moves: 0

How to Play

Click & Drag - Click and drag from one island to another to place a bridge
Toggle Bridge Type - Use the bridge type buttons or keyboard shortcuts (1, 2, 3)
Remove Bridges - Click on a bridge in "Remove" mode or right-click on a bridge

Rules: 1 Bridges must be straight lines connecting two islands horizontally or vertically. 2 Bridges cannot cross islands or other bridges. 3 Each island must have exactly as many bridges connected to it as its number indicates. 4 There can be at most two bridges between any two islands. 5 All islands must be connected into a single group.

Keyboard Shortcuts

Place single bridge 1
Place double bridge 2
Remove bridge mode 3
Check solution C
Get hint H
Undo move Ctrl+Z
Redo move Ctrl+Y
Reset puzzle R
Clear selection Esc

About Hashi (Bridges) Puzzle

Hashi (also known as Bridges or Chopsticks) is a logic puzzle published by Nikoli. The puzzle is played on a rectangular grid with islands (circles containing numbers). The goal is to connect all islands according to the rules.

Mathematical Significance: Hashi puzzles are based on graph theory concepts. Each island is a vertex, and bridges are edges. The puzzle requires creating a connected graph where each vertex has a specified degree (number of edges). The solution is unique for well-formed puzzles.

Solving Strategies

Strategy Description Example
Island with "8" An island with number 8 must have double bridges in all four directions (if possible). An 8 in the middle requires 4 double bridges.
Island with "1" An island with number 1 can only have one bridge, so mark other directions as impossible. A 1 in a corner has only one possible direction.
Island with "2" at edge An island with 2 on the edge of the grid must have both bridges in the same direction (double bridge). A 2 on the left edge requires a double bridge to the right.
Forced connections When an island needs more bridges than available directions, some directions must have double bridges. A 5 with three available directions needs at least one double bridge.
Avoiding isolation Ensure all islands remain connected to the main group. Don't create separate disconnected groups of islands.

Frequently Asked Questions

Click and drag from one island to another to place a bridge. You can draw single bridges (one line) or double bridges (two parallel lines). Make sure each island ends up with exactly as many bridges as its number, all islands are connected, and bridges don't cross.

You can remove bridges by selecting the "Remove Bridge" mode and clicking on a bridge, or by right-clicking on a bridge. You can also use the Undo button to revert your last move. The puzzle will also highlight errors when you use the "Check Solution" feature.

No, bridges cannot cross each other or pass through islands. They must be straight horizontal or vertical lines connecting two islands directly.

Well-constructed Hashi puzzles have a unique solution. However, some puzzles might have multiple solutions if not properly designed. The puzzles in this generator are verified to have unique solutions.