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It's easy to obtain four equal parts from a rectangle with three cuts: just make four strips. It's also easy to obtain threefour equal parts from a rectangle with two cuts: make a horizontal and a vertical cut. Is it possible to take a sheet of paper (not necessarily rectangular) and cut it in four equal parts with just a cut? The sheet cannot be folded, and the cut must be a continuous line.

It's easy to obtain four equal parts from a rectangle with three cuts: just make four strips. It's also easy to obtain three equal parts from a rectangle with two cuts: make a horizontal and a vertical cut. Is it possible to take a sheet of paper (not necessarily rectangular) and cut it in four equal parts with just a cut? The sheet cannot be folded, and the cut must be a continuous line.

It's easy to obtain four equal parts from a rectangle with three cuts: just make four strips. It's also easy to obtain four equal parts from a rectangle with two cuts: make a horizontal and a vertical cut. Is it possible to take a sheet of paper (not necessarily rectangular) and cut it in four equal parts with just a cut? The sheet cannot be folded, and the cut must be a continuous line.

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Obtain four equal parts with a single cut

It's easy to obtain four equal parts from a rectangle with three cuts: just make four strips. It's also easy to obtain three equal parts from a rectangle with two cuts: make a horizontal and a vertical cut. Is it possible to take a sheet of paper (not necessarily rectangular) and cut it in four equal parts with just a cut? The sheet cannot be folded, and the cut must be a continuous line.