Drapeable unit arcs fit in the unit 30° sector

@article{Movshovich2017DrapeableUA,
  title={Drapeable unit arcs fit in the unit 30° sector},
  author={Y. Movshovich and J. E. Wetzel},
  journal={Advances in Geometry},
  year={2017},
  volume={17},
  pages={497 - 506}
}
Abstract We show that a 30° circular sector of unit radius contains an isometric copy of every drapeable unit arc, and we describe the family of drapeable exit arcs of unit length in the sector. The conjecture that this sector is a cover for the family of all unit arcs remains unresolved. 
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