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Polytopes passing through circles

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Abstract

Suppose a convex body wants to pass through a circular hole in a wall. Does its ability to do so depend on the thickness of the wall? In fact in most cases it does, and in this paper we present a sufficient criterion for a polytope to allow an affirmative answer to the question.

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References

  1. J. Itoh, Y. Tanoue and T. Zamfirescu, Tetrahedra passing through a circular or square hole, Rend. Circ. Mat. Palermo (2) Suppl., 77 (2006), 349–354.

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  2. T. Zamfirescu, Pushing convex and other bodies through rings and holes, manuscript.

  3. K. Zindler, Über konvexe Gebilde, Monatsh. Math. Physik, 30 (1920), 87–102.

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Correspondence to Tudor Zamfirescu.

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Zamfirescu, T. Polytopes passing through circles. Period Math Hung 57, 227–230 (2008). https://doi.org/10.1007/s10998-008-8227-8

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  • DOI: https://doi.org/10.1007/s10998-008-8227-8

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