Jellyfish Strategy

The Jellyfish extends X-Wing and Swordfish patterns to four rows and four columns, enabling candidate eliminations across four covering lines.

Difficulty (Largest classic fish)
Expert
Pattern (Rows × columns)
4×4
Cover lines (4 rows + 4 columns)
8
Frequency (Expert puzzles only)
Rare

What Is a Jellyfish?

A Jellyfish pattern occurs when you focus on a single candidate number and find four rows where that candidate appears in at most four cells per row, and the columns occupied by those cells collectively span exactly four columns. The candidate must be placed once in each of those four rows, and those placements will necessarily fill four of the column positions - meaning no other cell in those four columns can hold that candidate.

The Jellyfish is the natural extension of the X-Wing (2 rows, 2 columns) and Swordfish (3 rows, 3 columns). All three belong to the "fish" family, and the elimination logic is the same at every size. The defining rows restrict the candidate to the covering columns, so the candidate is eliminated from all non-defining cells in those columns.

Because the pattern spans four rows and four columns, the Jellyfish is substantially harder to spot than its smaller siblings. Each base row can have two, three, or four candidate positions, as long as the total column coverage is exactly four. This variability makes systematic searching essential. For Sudoku terminology, see our glossary.

How to Apply the Jellyfish: Step-by-Step

  1. Exhaust all simpler techniques - Apply every technique you know: singles, pairs, triples, Pointing Pairs, Box-Line Reduction, X-Wings, Swordfish, XY-Wings, and Coloring. The Jellyfish is a last-resort technique for the most stubborn puzzles.
  2. Select a candidate number - Choose a number that still appears as a candidate in many cells. Examine its distribution across all nine rows. You are looking for four rows where it has limited candidate positions.
  3. Identify qualifying rows - Find rows where the candidate appears in two, three, or four cells. Rows with five or more candidate positions cannot be part of a Jellyfish. You need exactly four qualifying rows.
  4. Check column coverage - List all columns where the candidate appears across your four qualifying rows. If the total number of distinct columns is exactly four, you have found a Jellyfish. Those four columns are the covering lines.
  5. Eliminate from covering columns - Remove the candidate from every cell in the four covering columns that is NOT in one of the four defining rows. These eliminations can be dramatic and may resolve the puzzle entirely.

When to Use the Jellyfish

The Jellyfish is reserved for the most challenging puzzles - those where X-Wings, Swordfish, XY-Wings, and Coloring have all been exhausted. It appears almost exclusively in expert-level puzzles and competition grids.

Because of its rarity, many advanced solvers reach for Forcing Chains before attempting to find a Jellyfish. However, knowing the technique gives you another tool when chains prove elusive. For the complete progression, visit our strategy guide or review how to play Sudoku.

Difficulty Level & Puzzle Types

The Jellyfish is classified as an expert-level technique. It demands systematic candidate analysis, strong pattern recognition, and patience - qualities that define elite Sudoku solvers.

Easy

Never needed - far beyond what easy puzzles require

Medium

Never needed - intermediate techniques are sufficient

Hard

Extremely rare - simpler advanced techniques usually work

Expert

Occasionally needed for the most challenging grids

Tips for Mastering the Jellyfish

  1. Master X-Wing and Swordfish first. The Jellyfish is a natural extension, and comfort with smaller fish makes it manageable.
  2. Use a systematic approach: for each candidate, create a table listing which columns it occupies in each row. Then look for groups of four rows whose combined columns total exactly four.
  3. Remember that base rows can have two, three, or four candidate positions. Do not restrict yourself to rows with exactly two positions.
  4. After making eliminations, always re-check for Naked Singles and Hidden Singles. Jellyfish eliminations can cascade dramatically.

Frequently Asked Questions

What is a Jellyfish pattern in Sudoku?

A Jellyfish is an expert-level technique that extends the X-Wing and Swordfish patterns to four rows and four columns. When a candidate number appears in at most four positions in each of four rows, and those positions collectively span exactly four columns, the candidate can be eliminated from all other cells in those four columns.

How does Jellyfish differ from X-Wing and Swordfish?

X-Wing uses 2 rows and 2 columns. Swordfish uses 3 rows and 3 columns. Jellyfish uses 4 rows and 4 columns. They all belong to the same "fish" family of techniques - the elimination logic is identical, just applied to progressively larger patterns. As the pattern size increases, it becomes harder to spot but can produce more eliminations.

How rare is the Jellyfish pattern?

Jellyfish patterns are extremely rare. Most expert-level puzzles can be solved without them. They occasionally appear in competition-level puzzles and puzzles specifically designed to require advanced techniques. Many experienced solvers have never encountered one in practice.

Can the Jellyfish pattern use columns as the base?

Yes, like X-Wing and Swordfish, Jellyfish works symmetrically. You can define it using four columns as the base lines and four rows as the covering lines. The elimination logic is identical - just swap the role of rows and columns.

Is there a pattern larger than Jellyfish?

Theoretically, fish patterns can extend to five or more lines (Squirmbag, Whale, Leviathan), but these are vanishingly rare in standard 9x9 Sudoku. In practice, the maximum useful fish size is the Jellyfish (4 lines). Beyond that, other techniques like Forcing Chains are typically more practical.

Related Techniques

Related Glossary Terms

View full glossary

Practice by Difficulty

See it in action: a Jellyfish on the digit 5

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Track digit 5 across the board. We're hunting for four rows that confine 5 to the same four columns.

Step 1 of 4 — full interactive demo available with JavaScript enabled

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