About the Serpinsky-Knopp curve

03/03/2020

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by   Evgeny Shchepin, et al.

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The Serpinsky-Knopp curve is characterized as the only curve (up to isometry) that maps a unit segment onto a triangle of a unit area, so for any pair of points in the segment, the square of the distance between their images does not exceed four times the distance between them.