G77 · 2026-10-21

G77: The Centre Square Was Counted Twice

Two crossing lines share a middle square. Count each physical square once to avoid adding the centre twice.

Draw three squares across and three down, sharing the centre. How many different squares belong to the cross?

Rohit adds three and three to get six. He has counted the centre in both lines.

Count each square once

Point to each physical square once: left, centre, right, top and bottom. There are five.

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The two line lengths remain three each. Their combined distinct coverage is smaller because they overlap.

Circle the shared square in a contrasting pencil. Its double membership becomes visible without creating a second square.

For two separate three-square lines, the total would be six. The missing overlap changes the calculation.

Check a larger cross

Try five across and five down with one shared centre. The distinct total becomes nine.

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Do not subtract every crossing mark indiscriminately in a complex picture. Identify the actual shared cells first.

A coloured pencil for each line helps distinguish membership from physical quantity. The same square may carry two colours.

Use the cross as a target on a homemade bingo-style board. Put one counter on each required square, including just one on the centre. Five counters cover the small cross. This physical check turns the diagram into a marked-pattern task without confusing the number of lines with the number of occupied cells.

The G77 cross puzzle leaves a reliable check: count objects once even when several descriptions include them.

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