Finned Swordfish in Sudoku: How the Fin Works, With Real Examples

A Swordfish with one candidate too many still removes something, but only inside one box. Two real Evil puzzles show where, and our solver’s counts show how often it matters.

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Written by Brian Hamilton and Karan Hamilton.

Brian and Karan are the puzzle lovers and game makers behind Sudoku Online Puzzles. You can learn more on the About page.

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A Swordfish needs three rows whose places for a digit all fall in the same three columns. More often you find two rows that qualify and a third that nearly does, spoiled by one stray candidate outside the columns. Don’t throw that one away. If the stray candidate, the fin, sits in a box that one of the three columns runs through, the pattern still removes the digit from that column inside that box. That is a Finned Swordfish.

So we taught our measuring solver to find it and ran the counts. None of our Easy to Expert levels ever needs one. On the first 500 puzzles of our Evil bank it was the simplest move on 104, eight times as many as the plain Swordfish, yet almost every time our Sudoku Helper had a different move ready. Neither the Helper nor the Sudoku Trainer knows the finned version, so this page is where to learn it.

What is a finned swordfish in sudoku?

A pattern on one digit, in two parts:

  1. The Swordfish. Three rows hold the digit only in the same three columns, in two or three places each. Call them the base rows and the cover columns.
  2. The fin. One of the three rows also holds the digit in one or two cells outside those columns, all inside one box.

The digit then goes from every cell that lies in a cover column and inside the fin’s box, but not in a base row. Elsewhere the cover columns keep their candidates: that is the price of the fin. Rotate it and it still works, with three columns holding the digit in three rows and the fin in one of the columns. The argument is the one our Finned X-Wing guide makes for the smaller fish, with a third row added.

Fins, finned rows and sashimi

The fin cells must share one box: fins in two boxes leave nothing to remove. That leaves room for one or two, since a cover column has to cross the same box. If the finned row holds the digit in only one cover column besides the fin, the pattern is called a sashimi Swordfish: the same argument works, but it looks different on the board, and the counts on this page leave it out.

Why can a finned swordfish only remove candidates in the fin’s box?

Here is Evil puzzle 125 after 27 moves. Rows 5 and 9 hold their 6s only in columns 4, 7 and 8. So does row 1, apart from a third 6 in R1C5: the fin. One of two things is true.

  • R1C5 is the 6. Then no other cell in box 2 can be, and that includes R3C4.
  • R1C5 is not the 6. Then rows 1, 5 and 9 are a plain Swordfish. Each needs its own column for its 6, and between them they have only columns 4, 7 and 8, so each of those columns takes its 6 from one of the three rows. Column 4’s 6 is in R1C4 or R9C4, and R3C4 is out again.

R3C4 loses the 6 either way, so it goes, leaving R3C4 a naked single, 3. The other 6s in columns 7 and 8 are ruled out only in the second case, so they stay.

Finned Swordfish on 6, Evil puzzle 125 — before Finned Swordfish on 6, Evil puzzle 125 — the Finned Swordfish. pattern cells R1C4, R1C7, R5C7, R5C8, R9C4, R9C8. pivot R1C5. eliminations in R3C4. candidates removed: 6 in R3C4. Evil puzzle 125 after 27 moves, every remaining candidate shown (earlier moves took 6 and 8 from R8C4). Rows 5 and 9 hold 6 only in the shaded columns 4, 7 and 8 (green), and so does row 1, apart from one more 6 in R1C5 (blue): the fin, in box 2. If R1C5 is the 6, R3C4 shares its box and cannot be. If it is not, rows 1, 5 and 9 form a Swordfish and column 4 takes its 6 in R1C4 or R9C4. Either way the struck 6 in R3C4 goes. 1 2 3 4 6 7 6 7 4 5 5 6 8 9 4 5 6 1 9 8 7 3 2 7 8 9 3 6 2 3 5 1 4 5 6 5 6 1 4 7 8 7 8 2 4 9 1 9 3 8 9 2 4 5 3 1 2 4 6 2 6 7 3 7 1 2 9 4 6 2 5 1 2 5 8 6 9 3 5 2 1 7 8 6 9 4 6 9 1 7 8 3 4 6 8 3 4 2 5 6 9 2 5 6 7 9 5 6 2 4 7 8 6 8 5 9 3 6 7 1
Evil puzzle 125 after 27 moves, every remaining candidate shown (earlier moves took 6 and 8 from R8C4). Rows 5 and 9 hold 6 only in the shaded columns 4, 7 and 8 (green), and so does row 1, apart from one more 6 in R1C5 (blue): the fin, in box 2. If R1C5 is the 6, R3C4 shares its box and cannot be. If it is not, rows 1, 5 and 9 form a Swordfish and column 4 takes its 6 in R1C4 or R9C4. Either way the struck 6 in R3C4 goes.
Finned Swordfish on 6, Evil puzzle 125 — after Finned Swordfish on 6, Evil puzzle 125 — after the Finned Swordfish. pattern cells R1C4, R1C7, R5C7, R5C8, R9C4, R9C8. pivot R3C4. After the Finned Swordfish, R3C4 is left with only 3, a naked single (blue), and naked singles finish the puzzle from here. The fin was the 6: in the solution R1C5 is 6, and column 7 gets its 6 from R8C7, one of the three 6s outside box 2 that a plain Swordfish would have struck. All three stay. 1 2 3 4 6 7 6 7 4 5 5 6 8 9 4 5 6 1 9 8 7 3 2 7 8 9 3 2 3 5 1 4 5 6 5 6 1 4 7 8 7 8 2 4 9 1 9 3 8 9 2 4 5 3 1 2 4 6 2 6 7 3 7 1 2 9 4 6 2 5 1 2 5 8 6 9 3 5 2 1 7 8 6 9 4 6 9 1 7 8 3 4 6 8 3 4 2 5 6 9 2 5 6 7 9 5 6 2 4 7 8 6 8 5 9 3 6 7 1
After the Finned Swordfish, R3C4 is left with only 3, a naked single (blue), and naked singles finish the puzzle from here. The fin was the 6: in the solution R1C5 is 6, and column 7 gets its 6 from R8C7, one of the three 6s outside box 2 that a plain Swordfish would have struck. All three stay.

That caution is not a technicality. In this puzzle the fin is the 6, so row 1 never uses column 7, and column 7 gets its 6 from R8C7, a cell a plain Swordfish would have cleared. Nor is it rare: of the 115 Finned Swordfish our solver found in the first 500 Evil puzzles, the fin was the digit in 56, and in every one of those 56, treating the pattern as a plain Swordfish would have deleted a correct digit. Ignore the fin and about half the time you break the puzzle.

Our Sudoku Helper reaches this exact position with its own hints, then offers an XY-Wing instead, which takes the 6 from R5C7. It knows the plain fish, from the X-Wing up, but no finned ones.

Does the fin have to be next to a corner of the swordfish?

No. It is usually drawn beside one of its own row’s pattern cells, as on puzzle 125, and many guides make that a rule. What the fin actually needs is a cover column running through its box, because that is where the eliminations are. Evil puzzle 236, 13 moves in, has the other kind.

Finned Swordfish on 3 with its fin away from its own row's cells, Evil puzzle 236 — before Finned Swordfish on 3 with its fin away from its own row's cells, Evil puzzle 236 — the Finned Swordfish. pattern cells R2C4, R2C5, R6C2, R6C5, R7C4, R7C5. pivot R7C1. eliminations in R8C2, R9C2. candidates removed: 3 in R8C2; 3 in R9C2. Evil puzzle 236 after 13 moves, showing only the 3s, plus every candidate of R8C2 and R9C2. Rows 2 and 6 hold 3 only in the shaded columns 2, 4 and 5 (green); row 7 holds it in columns 4 and 5 and in the fin, R7C1 (blue). Row 7's own green cells are in box 8, away from the fin, and R7C2 holds a 1. It still works, because column 2 runs through the fin's box 7. If R7C1 is the 3, R8C2 and R9C2 share its box; if not, the Swordfish stands and column 2's 3 can only be in R6C2. Both struck 3s go, and R9C2 is left with 6. 1 2 3 6 4 7 8 4 5 3 3 8 2 8 9 1 2 5 3 4 3 3 3 3 3 1 4 1 2 3 5 3 1 2 3 4 6 3 1 3 3 9 6 2 3 3 6 7 5 3 1 3 3 9 3 6 8 3 3 7 3
Evil puzzle 236 after 13 moves, showing only the 3s, plus every candidate of R8C2 and R9C2. Rows 2 and 6 hold 3 only in the shaded columns 2, 4 and 5 (green); row 7 holds it in columns 4 and 5 and in the fin, R7C1 (blue). Row 7's own green cells are in box 8, away from the fin, and R7C2 holds a 1. It still works, because column 2 runs through the fin's box 7. If R7C1 is the 3, R8C2 and R9C2 share its box; if not, the Swordfish stands and column 2's 3 can only be in R6C2. Both struck 3s go, and R9C2 is left with 6.

Row 7’s own 3s are in columns 4 and 5, in box 8, and its fin, R7C1, is in box 7. R7C2, where row 7 meets cover column 2, already holds a 1. The fin works through column 2 all the same: either R7C1 is the 3, or the Swordfish holds and column 2’s 3 is in R6C2. Both ways R8C2 and R9C2 lose their 3, and R9C2 is left with 6, the first of the singles that finish the puzzle.

In our count, 17 of the 115 fins shared a box with none of their own line’s pattern cells. In 27, two cover lines crossed the fin’s box, and in 8 of those both of them lost a candidate. So check every cover line that passes through the fin’s box, not just the one beside the fin.

Puzzle 236 also has the twin that our X-Wing guide finds behind every fish. Six rows and six columns are still waiting for a 3. Rows 2, 6 and 7 use columns 2, 4 and 5, so columns 1, 6 and 9 hold their 3s only in rows 4, 8 and 9, apart from the same fin, R7C1. That is a second Finned Swordfish, standing on columns, and it removes the same two 3s.

How do you find a finned swordfish?

Search as for a plain Swordfish, then ask one more question before giving up on a near miss:

  1. Pick a digit and write its places row by row, as column numbers. On puzzle 125, row 1 reads 4, 5, 7; row 5, 7, 8; row 9, 4, 8.
  2. Find two rows that fit inside three columns and a third that fits apart from one or two extra places. 104 of our 115 had one extra place, 11 had two.
  3. Check that the extras share a box and that one of the three columns runs through it. If none does, there is nothing to remove.
  4. Look in the fin’s box for the digit in a cover column, outside the three rows. Those candidates go.
  5. Then do the columns. 54 of our 115 stood on columns.
Expect one candidate, not a breakthrough

96 of the 115 removed a single candidate, 18 removed two and one removed three. Only 28 made a new single at once. After a Finned Swordfish, check the cell that lost the candidate, then go back to singles.

How often do you need a finned swordfish?

On our classic Easy, Medium, Hard and Expert levels, never. In 800 boards, 200 per level, nothing beyond naked pairs was ever needed, because a puzzle that singles, locked candidates and naked pairs can’t finish never reaches those levels. The Finned Swordfish belongs to Evil puzzles. We ran our solver over the first 500 of them with 23 techniques, the Helper’s eighteen plus five it lacks, always taking the simplest move. It tries the finned fish straight after the plain ones and before any wing.

FishNeededPresent
X-Wing7919.7%
Swordfish1310.3%
Finned X-Wing25631.1%
Finned Swordfish10431.5%

The first 500 Evil puzzles, solved simplest first with our 23 techniques. Needed: the number of puzzles where the fish was ever the simplest move. Present: how often, at the 4,618 positions with no single left, the fish would have removed a candidate. Because the finned fish are tried before the wings, they take some positions a wing would also crack. Those 500 head a bank kept in score order, which makes them harder than the bank overall. Measured October 2026.

A fin makes the pattern three times as common as the plain Swordfish: about a third of the positions with no single left hold one somewhere. That makes it a handy check, not an essential one.

Mostly a shortcut, rarely a rescue

At 111 of the 115 positions where our solver played a Finned Swordfish, the Helper’s own eighteen had a move of their own: an Almost Locked Set 33 times, a Skyscraper 21, a W-Wing 21, an XY-Wing 16, an XYZ-Wing 11, Simple Colouring 8 and a Unique Rectangle once. Only 4 times, on four puzzles, did none of the eighteen have anything. Take the Finned Swordfish out of the solver and it finishes 366 of the 500 instead of 370.

Stuck after a finned swordfish, or can’t find one?

After one, look at the cell that lost the candidate, then its row, column and box. On puzzle 125 that was enough: naked singles did the rest. If nothing opens, try what the Helper offered at those same positions: the wings and Almost Locked Sets in the box above.

If you can’t find one, enter the position in the Sudoku Helper and press Next Hint: it won’t show a Finned Swordfish, but it will name the move it would make instead. When the Helper itself runs out, the next stops are X-cycles and XY-chains, with a BUG to check for late in the puzzle and forcing chains held in reserve; our guide to sudoku techniques ranks the lot. To get the plain fish into your eye first, the Trainer has Swordfish drills.

Evil Sudoku

The bank both puzzles on this page come from. On its first 500, our solver reached for a Finned Swordfish on 104.

▶ Play Evil Sudoku