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31 August 2026

The square-counting puzzle: why 16 is wrong and 30 is right

A deceptively simple image — a grid of lines — and one question: how many squares can you see? Millions of people have encountered this puzzle online and most get it wrong. The correct answer for a standard 4×4 grid is not 16, but 30, and there is a precise mathematical method to prove it.

En bref

  • Most people see only 16 squares in a 4×4 grid
  • The real answer is 30, counting all square sizes
  • One formula solves any grid size instantly

Why almost everyone stops at 16

When presented with a 4×4 grid, the instinctive move is to count the smallest visible units — the individual cells. Four rows, four columns, sixteen boxes. It feels complete, and most people stop there.

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