What is Masyu?
Masyu is a loop puzzle. You draw one closed loop through the centres of the squares, and it has to pass through every pearl. White pearls make the loop go straight through them, with a turn just before or just after. Black pearls make it turn, and then go straight for two squares in both directions.
Nikoli introduced it around 2000. The name is a playful misreading of mashinju, Japanese for “pearl”, which is why it’s also called Pearl.
How to start a Masyu
Start at the edges. A black pearl next to the edge can’t send its loop towards the edge, so it goes the other way for two squares. A white pearl on the edge must run along the edge.
Then look for patterns: three white pearls in a row all run across the row, and two black pearls side by side each head away from the other.
From there, follow loose ends. A line that can only continue one way has to go that way, and any line that would close a small loop before all the pearls are in is ruled out.
Questions
- Does the loop have to visit every square?
- No. It only has to pass through every pearl. Empty squares can stay empty.
- What’s the difference between white and black pearls?
- At a white pearl the loop goes straight, and turns in the square before or after it. At a black pearl the loop turns, and goes straight through the next square on both sides.
- Does every Masyu have one solution?
- Yes. Each one is checked by a solver that counts every possible answer, and solved step by step without guessing before it’s published.
- How big are the puzzles?
- The daily Masyu is 8×8. Practice puzzles come in 6×6, 7×7 and 8×8.