Setup and opening position
Each corner contains a clue of 4. Candidate rectangles are the valid 1×4, 2×2, or 4×1 regions of area four that contain exactly one clue.
Rectangle Division
Select the unique exact cover of the board with four clue-bearing rectangles.
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How to play
Select the unique exact cover of the board with four clue-bearing rectangles.
- Each corner contains a clue of 4. Candidate rectangles are the valid 1×4, 2×2, or 4×1 regions of area four that contain exactly one clue.
- Choose one candidate for each clue. Selected rectangles may not overlap, every selected rectangle must contain its own single clue, and together they must cover all sixteen cells without gaps.
- Select the unique exact cover of the board with four clue-bearing rectangles.
Strategy tips
- Compare the few shapes available to each corner, eliminate any pair that overlaps, and favor a choice that still leaves a valid area-four region for every other clue.
- Four individually valid rectangles can still be wrong if they overlap or leave uncovered cells in the center.
- Count covered cells after the fourth choice and verify that each clue belongs to exactly one selected region.
Complete guide
Rules, scoring, and strategy
Rectangle Division is a complete browser implementation with its own versioned rules profile. Divide a 4×4 board into four non-overlapping area-four rectangles, one for each corner clue.
Legal moves and game flow
Choose one candidate for each clue. Selected rectangles may not overlap, every selected rectangle must contain its own single clue, and together they must cover all sixteen cells without gaps.
Winning and terminal positions
Select the unique exact cover of the board with four clue-bearing rectangles. Count covered cells after the fourth choice and verify that each clue belongs to exactly one selected region.
Practical strategy
Compare the few shapes available to each corner, eliminate any pair that overlaps, and favor a choice that still leaves a valid area-four region for every other clue. Four individually valid rectangles can still be wrong if they overlap or leave uncovered cells in the center.
Questions players ask
What is the objective in Rectangle Division?
Select the unique exact cover of the board with four clue-bearing rectangles.
Which moves are legal in Rectangle Division?
Choose one candidate for each clue. Selected rectangles may not overlap, every selected rectangle must contain its own single clue, and together they must cover all sixteen cells without gaps.
What should I plan first in Rectangle Division?
Compare the few shapes available to each corner, eliminate any pair that overlaps, and favor a choice that still leaves a valid area-four region for every other clue.