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About the Serpinsky-Knopp curve
classification
math.MG
cs.CG
keywords
curvedistancesegmentserpinsky-knoppunitareacharacterizedexceed
read the original abstract
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.
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