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Missing square puzzle - Printable Version

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Missing square puzzle - mklabgr - 07-15-2026

[Image: Missing_Square_Animation.gif]

Missing square puzzle

Summary


The Missing Square Puzzle is a famous geometric illusion that challenges our intuition about shapes and areas. It shows two arrangements of the same pieces that appear to create identical 13×5 triangles, yet in one version a small square seems to mysteriously disappear. The trick is that the large figure is not actually a true triangle: the supposed hypotenuse is slightly bent because the smaller triangles used to build it have different slopes. Our eyes interpret the edge as a straight line, but the tiny difference creates or removes exactly enough space to account for the missing square. 

The puzzle teaches an important lesson in mathematics: visual appearance can be misleading, and precise measurements and logical reasoning are more reliable than simply trusting what we see. Originally popularized by magician Paul Curry in 1953, it remains a classic example of how geometry can reveal surprising results hidden behind simple shapes. 


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