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020 _a9789811544705
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024 7 _a10.1007/978-981-15-4470-5
_2doi
050 4 _aQA76.9.A43
072 7 _aUMB
_2bicssc
072 7 _aCOM051300
_2bisacsh
072 7 _aUMB
_2thema
082 0 4 _a518.1
_223
100 1 _aUehara, Ryuhei.
_eauthor.
_0(orcid)0000-0003-0895-3765
_1https://orcid.org/0000-0003-0895-3765
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aIntroduction to Computational Origami
_h[electronic resource] :
_bThe World of New Computational Geometry /
_cby Ryuhei Uehara.
250 _a1st ed. 2020.
264 1 _aSingapore :
_bSpringer Nature Singapore :
_bImprint: Springer,
_c2020.
300 _aXVIII, 220 p. 132 illus., 25 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1: Unfolding -- Chapter 2: Basic Knowledge of Unfolding -- Chapter 3: Common Nets of Boxes -- Chapter 4: Common Nets of (Regular) Polyhedra -- Chapter 5: One-Dimensional Origami Model and Stamp Folding -- Chapter 6: Computational Complexity of Stamp Folding -- Chapter 7: Bumpy Pyramids Folded from Petal Polygons -- Chapter 8: Zipper-Unfolding -- Chapter 9:Rep-cube -- Chapter 10: Common Nets of a Regular Tetrahedron and Johnson-Zalgaller Solids -- Chapter 11: Undecidability of Folding -- Chapter 12: Answers to Exercises.
520 _aThis book focuses on origami from the point of view of computer science. Ranging from basic theorems to the latest research results, the book introduces the considerably new and fertile research field of computational origami as computer science. Part I introduces basic knowledge of the geometry of development, also called a net, of a solid. Part II further details the topic of nets. In the science of nets, there are numerous unresolved issues, and mathematical characterization and the development of efficient algorithms by computer are closely connected with each other. Part III discusses folding models and their computational complexity. When a folding model is fixed, to find efficient ways of folding is to propose efficient algorithms. If this is difficult, it is intractable in terms of computational complexity. This is, precisely, an area for computer science research. Part IV presents some of the latest research topics as advanced problems. Commentaries on all exercises included in the last chapter. The contents are organized in a self-contained way, and no previous knowledge is required. This book is suitable for undergraduate, graduate, and even high school students, as well as researchers and engineers interested in origami.
650 0 _aAlgorithms.
650 0 _aGeometry.
650 0 _aEngineering mathematics.
650 0 _aEngineering
_xData processing.
650 1 4 _aAlgorithms.
650 2 4 _aGeometry.
650 2 4 _aMathematical and Computational Engineering Applications.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9789811544699
776 0 8 _iPrinted edition:
_z9789811544712
776 0 8 _iPrinted edition:
_z9789811544729
856 4 0 _uhttps://doi.org/10.1007/978-981-15-4470-5
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c173117
_d173117