Self-Approaching Curves

Icking, Christian; Klein, Rolf GND; Langetepe, Elmar GND

We present a new class of curves which are self-approaching in the following sense. For any three consecutive points a, b, c on the curve the point b is closer to c than a to c. This is a generalisation of curves with increasing chords which are self-approaching in both directions. We show a tighter upper bound of 5.3331... for the length of a self-approaching curve over the distance between its endpoints.

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Icking, Christian / Klein, Rolf / Langetepe, Elmar: Self-Approaching Curves. Hagen 1997. FernUniversität in Hagen.

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12 Monate

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