论文标题

关于Serpinsky-Knopp曲线

About the Serpinsky-Knopp curve

论文作者

Shchepin, Evgeny

论文摘要

Serpinsky-knopp曲线的特征是将单元段映射到单位区域的三角形上的唯一曲线(直至等轴测图),因此对于段中的任何一对点,图像之间的距离的平方都不超过其之间的四倍。

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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