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### Why four?

To understand this, let’s go back to the early-mid 19th century when there was a solution to the general form of this puzzle. The truth is encoded in the following theorem:

Wallace–Bolyai–Gerwien theorem:A Polygon can be cut into a finite number of pieces and then by rotations, reflections and translations(isometric transformations) can be reassembled into another Polygon iff both the polygons have the same area. We call this equidecomposability of two polygons of the same area. [Actually, it is called equidissectabilty, but then it is equidecomposability]

Also, observe if a polygon P can be transformed into Q in this way denote it by P Q to avoid too much clumsiness. Now,

## Triangulate the Polygon

## Each Triangle -> Rectangle

## Set of Rectangles -> A Square by the method described above.

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Fascinating !

Thanks 🙂