Some New Equiprojective Polyhedra
نویسندگان
چکیده
A convex polyhedron P is k-equiprojective if all of its orthogonal projections, i.e., shadows, except those parallel to the faces of P are k-gon for some fixed value of k. Since 1968 it is an open problem to construct all equiprojective polyhedra. Recently, Hasan and Lubiw [8] have given a characterization of equiprojective polyhedra. Based on their characterization, in this paper we discover some new equiprojective polyhedra by cutting and gluing existing polyhedra.
منابع مشابه
Equiprojective Polyhedra
A convex polyhedron P is equiprojective if, for some k, the orthogonal projection (or “shadow”) of P in every direction, except those directions parallel to faces of P , is a k-gon. We address an open question posed by Shepherd [11], and reported in [5], by characterizing equiprojective polyhedra, and giving an O(n log n) time recognition algorithm.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1009.2252 شماره
صفحات -
تاریخ انتشار 2010