Conhex

Game invented by Michail Antonow in 2006

Conhex is a two-player connection game invented by Michail Antonow. The goal is to claim a connected chain of spaces between the player’s two assigned sides. The board is made of polygonal spaces. Players do not place stones inside the spaces directly; they place stones on the vertices around them.

Conhex in the Little Golem app

Rules

Blue moves first. A move is made by placing one stone on any empty playable vertex. Some visual points on the board are gaps and cannot be played.

After a stone is placed, every still-unclaimed space is checked. A player claims a space as soon as that player owns at least half of the playable vertices around it. For example, a four-vertex space is claimed with two vertices, and a five-vertex space is claimed with three vertices. Once a space is claimed, it keeps that owner.

The first player who connects their two opposite sides with a connected group of claimed spaces wins.

On Little Golem:

  • Blue connects the bottom side to the top side.
  • Red connects the left side to the right side.
  • Spaces are connected when they share at least one vertex.
  • Draw offers are possible, but the game itself has no normal draw condition.

Swap move

Conhex uses the swap rule. After Blue’s first placement, Red may play swap instead of placing a normal stone. The swapped stone is moved to the reflected point used by the Little Golem board geometry, and the colors continue from there with Blue to move.


Last modified July 9, 2026: document remaining game rules (fd82652)