A PUZZLE TO BALANCE

Binary Weave

Complete a binary logic grid using equal counts, short runs and distinct lines. Standard is 6 by 6, Hard is 8 by 8 and Expert is 10 by 10.

How to play

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Your counters describe this puzzle only. Take as much time as you like.

THE ESSENTIALS

How to play

Fill every square with 0 or 1. Each row and column must contain equal numbers of zeros and ones.
Never place three equal symbols consecutively in a row or column.
No two completed rows may be identical, and no two completed columns may be identical. A row is allowed to match a column.
Fixed clues, including zeros, cannot be changed. Finish by filling the board and satisfying all three rules.

Controls

Select an editable square to cycle empty, 0, 1, empty. The keypad also sets the selected square directly.
Type 0 or 1 on a focused square to enter that symbol. Delete or Backspace clears it. Arrow keys move selection.
Undo restores one previous entry or erasure. Restart restores the same clues. New puzzle changes the prepared pattern's orientation or swaps all zeros and ones.

Good to know

The familiar binary puzzle is also called Takuzu. These rules are established; the code, original starting layouts and explanation here are independently prepared.

Each size has one original starting layout verified to have exactly one solution. Rotations, reflections and a global zero/one swap preserve uniqueness; this is a finite template collection.

Conflicts mark a current rule violation, not every incorrect guess. Difficulty changes board size and starting clues rather than claiming a calibrated human-solving rating.

TRY A DIFFERENT APPROACH

Field notes for Binary Weave.

Binary Weave · 3 MIN READ

Binary Weave: combine counts with short runs

Work through a six-square example that shows why equal counts, the no-triples rule and line uniqueness need to be checked together.

Field notes for Binary Weave.

Binary Weave: combine counts with short runs ↗

Binary Weave: combine counts with short runs