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.
Similar content being viewed by others
References
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.
T. Zamfirescu, Pushing convex and other bodies through rings and holes, manuscript.
K. Zindler, Über konvexe Gebilde, Monatsh. Math. Physik, 30 (1920), 87–102.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zamfirescu, T. Polytopes passing through circles. Period Math Hung 57, 227–230 (2008). https://doi.org/10.1007/s10998-008-8227-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10998-008-8227-8