Minesweeper Triangle Patterns

Two equal numbers can clear a whole row when they count the same group of mines. In this example, one 1 sits above another. The three covered squares above them are safe.

See the pattern step by step

Two 1s sit one above the other. A, B and C form a covered top row. D and E sit beside the upper 1, and F sits to the lower 1’s left. The other spaces are open or board edge. The lower 1 counts D, E and F. The upper 1 counts those same three squares plus A, B and C. Both counts are 1, leaving no mines in the top row. Circles mark A, B and C in the top row as safe. D, E and F remain unknown with one mine between them. The two vertical clues stay 1s.
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Board example

The lower clue gives D + E + F = 1. The upper clue gives A + B + C + D + E + F = 1. Subtract the shared group to get A + B + C = 0.

Before

Two 1s sit one above the other. A, B and C form a covered top row. D and E sit beside the upper 1, and F sits to the lower 1’s left. The other spaces are open or board edge.

After

Circles mark A, B and C in the top row as safe. D, E and F remain unknown with one mine between them. The two vertical clues stay 1s.

Why it works

The shared group already supplies the upper 1’s mine. All three top squares are safe. The same comparison works with 2 above 2 or 3 above 3. With 2-2, two mines remain among D, E and F. With 3-3, all three shared squares have mines.

The lower 1 counts D, E and F. The upper 1 counts those same three squares plus A, B and C. Both counts are 1, leaving no mines in the top row.

The rule

The lower 1 touches three unknown squares: D and E beside the upper 1, and F to the lower 1’s left. The upper 1 touches those same squares plus A, B and C in the top row.

What to check

Match the shown shape, including the open square to the lower clue’s right and the open row below. The lower clue’s unknown squares must all touch the upper clue. Equal numbers alone do not give this result.

Read the board, then choose

The lower 1 touches three unknown squares: D and E beside the upper 1, and F to the lower 1’s left. The upper 1 touches those same squares plus A, B and C in the top row.

A four-row, three-column board has covered A, B and C across the top. Two 1s sit vertically in the middle column below them. D and E flank the upper 1; F is left of the lower 1. Remaining dashes mark omitted open space or board edge. The lower 1 counts D, E and F; the upper also counts A, B and C. Equal counts prove the top row safe. One mine remains unresolved among D, E and F.

Choose a covered square. Then decide whether it is safe, has a mine, or needs more information.

A
B
C
D
E
F
Why this answer is correct

A: Safe · B: Safe · C: Safe · D: Not enough information · E: Not enough information · F: Not enough information

The shown covered squares are the only unknown squares around these numbers. Gaps stand for open squares or the board edge. Check every nearby square before you apply the result. Flags in these examples mark known mines.

Try the same idea with other numbers

Read the board, then choose

Try the same idea with other numbers

A four-row, three-column board has covered A, B and C on top, with two 2s vertically below in the middle column. D and E flank the upper 2; F sits left of the lower 2. The other positions are omitted open space or board edge. Both clues count D, E and F, while only the upper 2 also counts the top row. Therefore A, B and C are safe. Two mines remain unresolved among D, E and F; all six squares stay covered.

Choose a covered square. Then decide whether it is safe, has a mine, or needs more information.

A
B
C
D
E
F
Why this answer is correct

A: Safe · B: Safe · C: Safe · D: Not enough information · E: Not enough information · F: Not enough information

The shown covered squares are the only unknown squares around these numbers. Gaps stand for open squares or the board edge. Check every nearby square before you apply the result. Flags in these examples mark known mines.

Try the same idea with other numbers

Read the board, then choose

Try the same idea with other numbers

A four-row, three-column board has covered A, B and C across the top and two 3s vertically below in the middle column. D and E flank the upper 3; F sits left of the lower 3. Remaining positions are omitted open space or board edge. The lower 3 needs mines in all three shared squares, D, E and F. The upper 3 then needs no top-row mines. Thus A, B and C are safe. All six squares remain covered.

Choose a covered square. Then decide whether it is safe, has a mine, or needs more information.

A
B
C
D
E
F
Why this answer is correct

A: Safe · B: Safe · C: Safe · D: Mine · E: Mine · F: Mine

The shown covered squares are the only unknown squares around these numbers. Gaps stand for open squares or the board edge. Check every nearby square before you apply the result. Flags in these examples mark known mines.

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