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Titlebook: Discrete and Computational Geometry; Japanese Conference, Jin Akiyama,Mikio Kano,Masatsugu Urabe Conference proceedings 2001 Springer-Verla

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The Link with Medical Management,ly. Over the past few years, there has been a surge of interest in these problems in discrete and computationsl geometry. This paper gives a brief survey of some of the recent work in this area, subdivided into three sections based on the type of object being folded: linkages, paper, or polyhedra. S
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https://doi.org/10.1007/978-1-4471-1942-5the description of the metric polytope is easy as .. has at most 544 vertices partitioned into 3 orbits; .. - the largest previously known instance - has 275 840 vertices but only 13 orbits. Using its large symmetry group, we enumerate orbitwise 1 550 825 600 vertices of the 28-dimensional metric po
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The Link with Medical Management,hird dimension. Techniques are presented and analyzed for designing hingeable dissections that use either only swings hinges or only twist hinges. For swing hinges these include the superposition of tessellations, the crossposition of T-strips, and the exploitation of the structure of regular polygo
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M. Rothmund,D. Bartsch,W. Lorenzlyhedron, determine the volume and the area of the portion of the polyhedron above .. The queries are answered in a time linear in the size (complexity) of .. The space and preprocessing time for this dara structure are linear in the size of .. We also present an intermediary data structure for plan
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R. Lefering,E. A. M. Neugebauer, 1, ..., .-1}. Consider a graph drawing of . such that each vertex . ∈ . is represented by .. and each edge (.) ∈ . is drawn by a straight line segment. Denote the sum of lengths of graph edges in such drawing by .. (.). If .. (.) ≤ .. (.′) for any convex .-gon ., then we write as . ≼..′. This pape
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J. Hobbhahn,K. Peter,A. E. Goetz,P. Conzenplane, respectively, such that no three points of .∪. lie on the same line. Let . = .. + .. + ... + .. be an integer-partition of n such that 1 ≤ .. for every 1 ≤ . ≤ .. Then we want to partition . ∪ . into . disjoint subsets .. ∪ .. ∪ ... ∪ .. that satisfy the following two conditions: (.) conv (..
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Computer Applications in Surgical Research a relation of this problem to a certain extreme packing problem. Based on this relationship, we develop a heuristic producing 6-approximation for spheres (provided n is chosen sufficiently large). That is, the produced triangular mesh is . in this respect..The method is easy to implement and runs i
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