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About the Serpinsky-Knopp curve
- Publication Year :
- 2020
-
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.<br />Comment: An abridged version of this article is accepted for publication in Russian Mathematical Surveys
- Subjects :
- Mathematics - Metric Geometry
Computer Science - Computational Geometry
51F99
Subjects
Details
- Language :
- Russian
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2003.01390
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1070/RM9944