Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame
نویسندگان
چکیده
منابع مشابه
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame
We show that a convex body can pass through a triangular hole iff it can do so by a translation along a line perpendicular to the hole. As an application, we determine the minimum size of an equilateral triangular hole through which a regular tetrahedron with unit edge can pass. The minimum edge length of the hole is (1+ √ 2)/ √ 6 ≈ 0.9856. One of the key facts for the proof is that no triangul...
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ژورنال
عنوان ژورنال: Computational Geometry
سال: 2012
ISSN: 0925-7721
DOI: 10.1016/j.comgeo.2011.07.004