Partition — v0.8a Singleton Test

2-player abstract strategy game · 3 actions per turn · score through closures and final regions

Beginner makes straightforward tactical choices. Medium plays a stronger positional game. Advanced uses the strongest tested strategy.

How to Play — v0.8 + Singleton Experiment

Goal: Finish with more points than your opponent. Each player has 10 small marker cubes: Player 1 uses white and Player 2 uses black. The site handles setup, legal moves, marker placement, region closing, and scoring automatically.

  1. Take 3 actions on your turn. You may repeat an action if it is legal.
  2. Place Stick: choose Place Stick, then click an edge between adjacent hexes in the open region. The smaller side closes. If a non-final split is equal, you choose which side closes.
  3. Singleton restriction (experiment): a normal stick may not create a 1-hex closed region while any other normal stick placement can avoid creating a singleton. If every available normal stick placement would create a singleton, singleton closures become legal. The final 1-1 equal split is always legal. Subdivision may still create a singleton.
  4. Claim Colour: each player may claim up to 2 colours. Choose Claim Colour, then click a disc in any closed region. That disc is removed and its colour becomes yours. Place your marker cubes on every remaining disc of that colour: Player 1 uses white cubes and Player 2 uses black cubes. The coloured disc remains visible beneath the cube.
  5. Subdivision: each player has 2 uses. Choose Subdivision, then place a stick inside a closed region. Both resulting parts stay closed.

Closing point: A normal closure scores 1 point if the newly closed region contains discs of at least 3 different colours. Count the disc colours underneath any white/black marker cubes; claimed status does not matter. Subdivision never awards this point.

Game end: The game ends immediately when the remaining open region is split into two equal regions of 5 or fewer hexes each. Both close, and each is checked separately for a closing point.

Final scoring: Every closed region is worth 1 point to the player with more remaining discs matching their claimed colours in that region. A tie scores neither player. One-hex regions score normally.

Important: Once a region is closed, normal sticks cannot be placed inside it. Only Subdivision can modify a closed region.

Player 1's turn

Actions remaining: 3

Player 1

Score: 0

Subdivision:
Marker: White cubes
Claimed: None

Player 2

Score: 0

Subdivision:
Marker: Black cubes
Claimed: None

Open: 36 hexes | Closed regions: 0

Place a stick between two hexes in the open region.

Saved Playtest Log

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