In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. == Description == The paradox consists of a sequence of "staircase" polygonal chains in a unit square, formed from horizontal and vertical line segments of decreasing length, so that these staircases converge uniformly to the diagonal of the square.
In mathematical analysis, the staircase paradox is a pathological example showing that limits of curves do not necessarily preserve their length. == Description == The paradox consists of a sequence of "staircase" polygonal chains in a unit square, formed from horizontal and vertical line segments of decreasing length, so that these staircases converge uniformly to the diagonal of the square.
Source: Wikipedia "Staircase paradox" · CC BY-SA 4.0
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