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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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Approximating Uniform Triangular Meshes for Spheres 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 in .(..) time and . space.
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Geometric Dissections that Swing and Twistns and stars. For twist hinges these include the conversion of swing hinges, the P-twist for parallelograms, and completing the pseudo-tesellation. Open problems relating to the possible universality of such hingings are posed.
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Generalized Balanced Partitions of Two Sets of Points in the Plane) ∩ conv (..) = ⊘ for all 1 ≤ . < . ≤ ., where conv(..) denotes the convex hull of ..; and (.) each .. contains exactly .. red points and .. blue points for every 1 ≤ . ≤ ...We shall prove that the above partition exists in the case where (i) 2 ≤ . ≤ 8 and 1 ≤ .. ≤ ./2 for every 1 ≤ . ≤ ., and (ii) .. = .. = ... = .. = 2 and .. =1.
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Transabdominal Preperitoneal (TAPP) Repairposes two restrictions, one based on the reversal of the perimeter (surface area) and the interior (cross-section) of the polygon (polyhedron), and the other based on the hingeability of parts. In this paper, we survey main results on Dudeney dissections of polygons and polyhedrons.
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