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Platon Sudoku · Sudoku Study

Closed loops · Core Concepts

A chain becomes a loop when its final link returns to the starting candidate. Every link still needs verification.

This course is adapted from Platon Sudoku App. Read the complete example here, then continue learning and practising in the app.

View on Google Play

Definition

A chain becomes a loop when its final link returns to the starting candidate. Every link still needs verification.

How to find it

Follow the links all the way around and verify the closing relation.

Common mistake

A rectangular shape without the final link remains an open chain.

Short chain

Teaching board · local candidate diagram

Observe candidates

A chain becomes a loop when its final link returns to the starting candidate. Every link still needs verification.

The 2s in 4 cells form a linked loop: the final link returns to the start.
The 2s in 4 cells form a linked loop: the final link returns to the start.
Verify the condition

Follow the links all the way around and verify the closing relation.

The 2s in 4 cells form a linked loop: the final link returns to the start.
The 2s in 4 cells form a linked loop: the final link returns to the start.
Draw the conclusion

After following every link, the final link returns to the starting candidate.

The 2s in 4 cells form a linked loop: the final link returns to the start.
The 2s in 4 cells form a linked loop: the final link returns to the start.

Long chain

Teaching board · local candidate diagram

Observe candidates

A chain becomes a loop when its final link returns to the starting candidate. Every link still needs verification.

The 2s in 6 cells form a linked loop: the final link returns to the start.
The 2s in 6 cells form a linked loop: the final link returns to the start.
Verify the condition

Follow the links all the way around and verify the closing relation.

The 2s in 6 cells form a linked loop: the final link returns to the start.
The 2s in 6 cells form a linked loop: the final link returns to the start.
Draw the conclusion

After following every link, the final link returns to the starting candidate.

The 2s in 6 cells form a linked loop: the final link returns to the start.
The 2s in 6 cells form a linked loop: the final link returns to the start.

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 2

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 3

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 4

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 5

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 6

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 7

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 8

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 9

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 10

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Recognition practice 11

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

Yes

Recognition practice 12

Does the last link close the loop at its start?

Teaching board · local candidate diagram
Teaching board · local candidate diagram
Draw the conclusion

No

Practice

This course is adapted from Platon Sudoku App. Read the complete example here, then continue learning and practising in the app.

View on Google Play