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Platon Sudoku · Sudoku Study

Two-color states · Core Concepts

Along strong links for one digit, alternate labels A and B. They represent opposite possible truth states.

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

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Definition

Along strong links for one digit, alternate labels A and B. They represent opposite possible truth states.

How to find it

Start at a bilocation and alternate colors over verified strong links.

Common mistake

Colors are hypothetical, not placed values. Both ends of a strong link should not share one color.

2 nodes

Teaching board · local candidate diagram

Observe candidates

Along strong links for one digit, alternate labels A and B. They represent opposite possible truth states.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.
Verify the condition

Start at a bilocation and alternate colors over verified strong links.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.

● 1A: R2C2=2

■ 1B: R2C6=2

Draw the conclusion

A and B alternate across the strong link; colors are possible states, not placed values.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.

● 1A: R2C2=2

■ 1B: R2C6=2

3 nodes

Teaching board · local candidate diagram

Observe candidates

Along strong links for one digit, alternate labels A and B. They represent opposite possible truth states.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.
Verify the condition

Start at a bilocation and alternate colors over verified strong links.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.

● 1A: R2C2=2, R5C6=2

■ 1B: R2C6=2

Draw the conclusion

A and B alternate across the strong link; colors are possible states, not placed values.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.

● 1A: R2C2=2, R5C6=2

■ 1B: R2C6=2

4 nodes

Teaching board · local candidate diagram

Observe candidates

Along strong links for one digit, alternate labels A and B. They represent opposite possible truth states.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.
Verify the condition

Start at a bilocation and alternate colors over verified strong links.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.

● 1A: R2C2=2, R5C6=2

■ 1B: R2C6=2, R5C3=2

Draw the conclusion

A and B alternate across the strong link; colors are possible states, not placed values.

The 2s are labelled A and B alternately along strong links, representing opposite truth states.
The 2s are labelled A and B alternately along strong links, representing opposite truth states.

● 1A: R2C2=2, R5C6=2

■ 1B: R2C6=2, R5C3=2

Recognition practice

Teaching board · local candidate diagram

Recognition practice 1

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R2C2=2

■ 1B: R2C6=2

Draw the conclusion

Yes

Recognition practice 2

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R2C2=2, R2C6=2

Draw the conclusion

No

Recognition practice 3

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R2C2=2, R6C5=2

■ 1B: R6C2=2

Draw the conclusion

Yes

Recognition practice 4

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R2C2=2

■ 1B: R6C2=2, R6C5=2

Draw the conclusion

No

Recognition practice 5

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R8C8=2, R5C4=2

■ 1B: R8C4=2, R5C7=2

Draw the conclusion

Yes

Recognition practice 6

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R8C8=2, R5C4=2, R5C7=2

■ 1B: R8C4=2

Draw the conclusion

No

Recognition practice 7

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R8C8=2

■ 1B: R4C8=2

Draw the conclusion

Yes

Recognition practice 8

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R8C8=2, R4C8=2

Draw the conclusion

No

Recognition practice 9

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R2C8=2, R5C4=2

■ 1B: R2C4=2

Draw the conclusion

Yes

Recognition practice 10

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R2C8=2

■ 1B: R2C4=2, R5C4=2

Draw the conclusion

No

Recognition practice 11

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R8C2=2, R5C6=2

■ 1B: R8C6=2, R5C3=2

Draw the conclusion

Yes

Recognition practice 12

Do the colors alternate correctly across the strong link?

Teaching board · local candidate diagram
Teaching board · local candidate diagram

● 1A: R8C2=2, R5C6=2, R5C3=2

■ 1B: R8C6=2

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