کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
414740 681018 2012 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نظریه محاسباتی و ریاضیات
پیش نمایش صفحه اول مقاله
Tetrahedra passing through a triangular hole, and tetrahedra fixed by a planar frame
چکیده انگلیسی

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 triangular frame can hold a convex body. On the other hand, we also show that every non-triangular frame can fix some tetrahedron.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computational Geometry - Volume 45, Issues 1–2, January–February 2012, Pages 14–20
نویسندگان
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