Beacon Balance rules

6 × 6 binary logic

Rules of Beacon Balance

Beacon Balance is a binary logic puzzle played with suns and moons. Complete the six-by-six signal grid so every line is balanced, distinct, and consistent with its links.

The objective: Fill all 36 tiles with a valid balance of suns and moons.

Beacon Balance is a Takuzu (also called Binairo or a binary puzzle), played with suns and moons and linked clues.

Read the fixed beacons and links.

Diamond-marked suns and moons are fixed clues and cannot be changed. A small = link means the two neighboring beacons match; a ≠ link means they must differ.

Fixed clue
= match
≠ differ
Diamond-marked beacons can’t change. Links tell you how two neighbors relate.

Place three suns and three moons in every line.

Every row and every column must contain exactly three suns and three moons. A line with too many of either symbol cannot be completed correctly.

“Three and three. If a line is lopsided, it’s telling you something.”

Zhao
Three suns and three moons, in every row and every column.

Never place three identical beacons together.

No row or column may contain three consecutive suns or three consecutive moons. This applies anywhere in the line, including at either edge.

Not allowed
Allowed
Two in a row is fine. Three in a row never is.

Keep completed rows and columns unique.

No two finished rows may have the same six-symbol pattern, and no two finished columns may match one another. Rows are compared with rows and columns with columns.

Both rows are fine alone, but they can’t be identical.

Check the finished grid.

Tap an editable tile to cycle Sun → Moon → blank. Conflicts appear as you work; use Check balance when all constraints are satisfied. A hint aligns one beacon, adds 15 seconds to your time and is counted in the daily result.

Each tap cycles a tile through sun, moon and blank.