Abstract

Zindler-curves in Euclidean plane ℝ2 are closed curves with a one-parametric set of congruent “main chords” which bisect both the length and the enclosed area of the curve. Related curves z ⊂ ℝn have been studied by J.Hoschek [2], [3] (in the case n=3) and B.Wegner [8] (for arbitrary n⩾2). In this note we generalize the results on Zindler-curves in ℝn. These curves can simply be generated since the midpoints of the main chords are situated on the striction curve of the main chord-surface.

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