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Titlebook: Discrete and Computational Geometry and Graphs; 18th Japan Conferenc Jin Akiyama,Hiro Ito,Yushi Uno Conference proceedings 2016 Springer In

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Describing and Expressing Surprisehow that the game is NP-complete for . colors but polytime solvable for .. Similarly the game is NP-complete if every color is used by at most . buttons but polytime solvable for .. We also consider restrictions on the board size, cut directions, and cut sizes. Finally, we introduce several natural
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Describing and Expressing Surpriseonvex, but the question remains open for nonconvex polyhedra. In this paper, we give a continuous flat folding motion when the polyhedron . is an orthogonal polyhedron, i.e., when every face is orthogonal to a coordinate axis (., ., or .). More generally, we demonstrate a continuous flat folding mot
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https://doi.org/10.1007/978-3-319-09315-4right turns. The number of left turns always equals the number of right turns plus 4. It is known that any such sequence can be realized by a rectilinear polygon. In this paper, we consider the problem of finding realizations that minimize the perimeter or the area of the polygon or the area of the
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https://doi.org/10.1007/978-3-319-09315-4 Given a closed figure in the plane, find a new closed figure that is similar to the original and can tile the plane. In this study, we give a new formulation of the problem with the weighted Procrustes distance and an algorithm to solve the problem optimally. We conduct computational experiments wi
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The Divergence of the Casimir Stress A variant of janken can be represented by a tournament (a complete asymmetric digraph), where a vertex corresponds to a sign and an arc (., .) indicates that sign . defeats sign .. However, not all tournaments define useful janken variants, i.e., some janken variants may include a useless sign, whi
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Argentina’s Pioneer Surrealists-. if there exist . such that for every polynomial . there exists an index . with . We settle a problem of Makai and Pach (1983) by showing that . is .-controlling if and only if . is divergent. The proof is based on a statement about covering the Euclidean space with translates of slabs, which is r
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