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Jellyfish

Master· L9
Elimination

A Jellyfish is the four-line fish — X-Wing (2), Swordfish (3), Jellyfish (4).

Same single-digit ownership idea, bigger net.

Before this: Learn X-Wing and Swordfish first.

Why it works

Counting: four rows must place the digit into four shared columns, one each without sharing a column. If a victim killed one fish column, four digits could not fit in three columns.

Reduction: assume a fish cell true → remaining pattern collapses toward a smaller fish you’ve already proved.

Those four columns are occupied — clear the digit elsewhere on them.

Demonstration

14376986771793834572578489617617289325879614

Pick a digit. Look for four rows confined to the same four columns.

14376986771793834572578489617617289325879614

The green cells lock 5 to this 4×4 fish. Four rows need four columns.

14376986771793834572578489617617289325879614

Counting (or reducing to a smaller fish) shows all four columns get 5. That pattern is a Jellyfish.

14376986771793834572578489617617289325879614

Eliminate 5 from the rest of those columns (red).

Example 1

687136841586278918352982786648932863415

For one digit, find four lines sharing the same four crossing lines.

687136841586278918352982786648932863415

This is a Jellyfish on 9.

687136841586278918352982786648932863415

Remove 9 from the rest of those lines (red). Four rows need four columns — a victim would leave too few homes.

Example 2

799761375196289251492156487392478277958

For one digit, find four lines sharing the same four crossing lines.

799761375196289251492156487392478277958

This is a Jellyfish on 4.

799761375196289251492156487392478277958

Remove 4 from the rest of those lines (red). Four rows need four columns — a victim would leave too few homes.

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