Band Unfoldings and Prismatoids: A Counterexample

نویسنده

  • Joseph O'Rourke
چکیده

This note shows that the hope expressed in [ADL07]—that the new algorithm for edge-unfolding any polyhedral band without overlap might lead to an algorithm for unfolding any prismatoid without overlap—cannot be realized. A prismatoid is constructed whose sides constitute a nested polyhedral band, with the property that every placement of the prismatoid top face overlaps with the band unfolding.

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عنوان ژورنال:
  • CoRR

دوره abs/0710.0811  شماره 

صفحات  -

تاریخ انتشار 2007