The sculptor can slice the cylindrical piece of clay to create rectangles only if the cylinder is a rectangular one. Or put differently, when the cylinder is placed such that it is standing on its base, the base and the top are parallel to each other and each of them...

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The sculptor can slice the cylindrical piece of clay to create rectangles only if the cylinder is a rectangular one. Or put differently, when the cylinder is placed such that it is standing on its base, the base and the top are parallel to each other and each of them is perpendicular to the vertical axis.

To create rectangular slices the sculptor has to cut very thin slices, and the cuts have to be made perpendicular to base. The thinner the slices are, the closer they will be to attaining the shape of perfect rectangles.