Question
Can five squares fit together around a point without any gaps or overlaps? Why or why not?
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Answer
No, five square cannot fit together perfectly around a point without any gaps or overlaps. Because, each angle of a square is a right angle. For shapes to fit perfectly around a point without gaps or overlaps (i.e., to form a tessellation around that point), the sum of the angles of the shapes meeting at that point must exactly equal to 4 right angles.
If we place five squares around a point, the sum of their angles would be 5 right angles which is greater than 4 right angles, so the squares would overlap.
If we place five squares around a point, the sum of their angles would be 5 right angles which is greater than 4 right angles, so the squares would overlap.
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| Meaningful |  |
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