Branchbound

Grow one shared tree

Branchbound is a compact abstract strategy duel about a luminous tree both players are trying to keep alive.

One simple rule. Sharp decisions.

Each turn, choose an open node, extend a branch in one of eight directions, and set the new signal's colour. It may not repeat the colour of any neighbour. Verify a legal move to pass the turn; verify an echo and the branch breaks immediately.

A small field, a mathematical core

At its core, Branchbound combines a growing rooted tree with local graph colouring: every legal move extends the tree while preserving the neighbourhood colour constraint. It is inspired by finite-tree and graph-colouring problems; it does not compute Busy Beaver or TREE(3).

Play your way

• A local hotseat duel or practice against Moss, a deterministic bot.
  
• Two, three, or four colours on compact 9×9 or wide 11×11 fields.
  
• Mouse, touch, and keyboard controls with a collapsible turn panel.
  
• The final tree and best results saved only on your device.
  
• Fully offline, with no account, server, or in-game purchases.

Language support

The game interface and controls are available in 14 languages; see the Steam language table for the current list.