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arXiv · 1802.00290

The Kakeya problem for circular arcs

Kornélia Héra·Miklós Laczkovich
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Abstract

We prove that if a circular arc has angle short enough, then it can be continuously moved to any prescribed position within a set of arbitrarily small area.

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Kornélia Héra, Miklós Laczkovich. 2018-02-01. The Kakeya problem for circular arcs. https://doi.org/10.1007/s10474-016-0663-5

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