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Curry Triangle

The Curry triangle, also sometimes called the missing square puzzle, is a dissection fallacy created by American neuropsychiatrist L. Vosburgh Lions as an example of a phenomenon discovered by Paul Curry. The figure apparently shows that a triangle of area 60, a triangle of area 58 containing a rectangular hole, and a broken rectangle of area 59 can all be formed out of the same set of 6 polygonal pieces. The explanation for this lies in the inaccuracy of the initial subdivision. In the diagrams, the small and large right triangles are similar, hence they cannot have perpendicular sides of lengths and , respectively, as apparently shown in the drawing.

This entry contributed by Margherita Barile

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References

Gardner, M. The Scientific American Book of Mathematical Puzzles and Diversions. New York: Simon and Schuster, pp. 144-145, 1959.

Curry Triangle

Cite this as:

Barile, Margherita. "Curry Triangle." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/CurryTriangle.html