Factors and Factorizations of Graphs [[electronic resource] ] : Proof Techniques in Factor Theory / / by Jin Akiyama, Mikio Kano |
Autore | Akiyama Jin |
Edizione | [1st ed. 2011.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011 |
Descrizione fisica | 1 online resource (XII, 353 p. 153 illus.) |
Disciplina | 512/.57 |
Collana | Lecture Notes in Mathematics |
Soggetto topico |
Mathematics
Computer programming Mathematics, general Programming Techniques |
ISBN | 3-642-21919-5 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | 1 Basic Terminology -- 2 Matchings and 1-Factors -- 3 Regular Factors and f-Factors -- 4 (g, f)-Factors and [a, b]-Factors -- 5 [a, b]-Factorizations -- 6 Parity Factors -- 7 Component Factors -- 8 Spanning Trees. |
Record Nr. | UNISA-996466647103316 |
Akiyama Jin | ||
Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
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Treks into Intuitive Geometry : The World of Polygons and Polyhedra |
Autore | Akiyama Jin |
Edizione | [2nd ed.] |
Pubbl/distr/stampa | Singapore : , : Springer, , 2024 |
Descrizione fisica | 1 online resource (642 pages) |
Disciplina | 516 |
Altri autori (Persone) | MatsunagaKiyoko |
ISBN | 981-9986-08-7 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Intro -- Preface -- Preface for the 2nd edition -- Acknowledgement -- Contents -- About the book ~ The Seven Pearls of the Book~ -- About the Authors -- Chapter 1 Art From Tiling Patterns -- 1. Geometric Patterns -- 2. Tilings -- 3. Conway Criterion -- 4. Math Behind Masterpieces -- Appendix 1.1.1 -- Appendix 1.2.1 -- References -- Chapter 2 The Tile-Maker Theorem and Its Applications to Art and Designs -- 1. How to Draw Repeated Patterns Like Escher's -- 2. Tile-Makers -- 3. Characteristics of a Net of an Isotetrahedron -- 4. Star-net, Star Unfolding and Completing the Polyhedral Tile-Maker Theorem -- 5. Dihedral Tile-Maker Theorem -- 6. Polyhedral Stampers -- 7. From Shark Heads to Tile-Makers -- 8. Knowledge and Terminologies for Topologically Extended Tile-Maker Theorem -- 9. Flat Closed-Surface Tile-maker Theorem -- 10. How to make Tiles from Flat Closed-Surface Tile-makers -- 11. Exhibition of Collage Art -- Appendix 2.3.1 -- Appendix 2.5.1 -- Appendix 2.10.1 -- References -- Chapter 3 Offshoots of the Fascinating Characteristics of Möbius Bands and Tori -- 1. The Möbius Love-Fate Fortune Telling -- 2. Various ways to cut Möbius bands in various manners -- 3. Experiments on Bisecting Möbius Flowers -- 4. General Properties of Bisection of Möbius Flowers -- 5. Investigation of bisection of n-Onions -- Appendix 3.4.1 -- Appendix 3.4.2 -- Appendix 3.5.1 -- References -- Chapter 4 Patchwork -- 1. Patchwork ― Equidecomposable Pairs of Polygons -- 2. How to Turn a Polygon into a Rectangle -- 3. Theorem of Equidecomposability -- References -- Chapter 5 Reversible Pairs of Figures -- 1. Envelope Magic -- 2. The Envelope Magic Trick -- 3. Trapezoidal Envelope Magic -- 4. Generalized Envelope Magic -- 5. Dudeney's Haberdasher's Puzzle -- 6. Reversible Transformation of Figures -- 7. Unveil All Reversible Pairs of Figures.
8. Everything about reversible pairs of figures appears in full view -- 9. Tessellability of reversible pairs of figures and superimposing method -- 10. Art Based on Reversible pairs of figures -- Appendix 5.5.1 -- Appendix 5.6.1 -- References -- Chapter 6 Reversibility and Foldability of Conway Tiles -- 1. Folding Nets of Platonic Solids -- 2. Terms and Properties of Conway tiles -- 3. Conway Polygons -- 4. Haberdasher's Puzzle from the point of view of Conway tiles -- 5. Easy-to-fold Conway tiles and others -- Appendix 6.1.1 -- Appendix 6.2.1 -- Appendix 6.3.1 -- Appendix 6.3.2 -- Appendix 6.4.1 -- Appendix 6.6.1 -- Appendix 6.6.2 -- Appendix 6.6.3 -- Appendix 6.6.4 -- References -- Chapter 7 Platonic Solids -- 1. The Platonic Solids -- 2. Euler's Formula for Polyhedra -- 3. Plato's Image for Platonic Solids -- 4. Duality Between a Pair of Polyhedra -- 5. The Cycle of Platonic Solids -- References -- Chapter 8 Cross-Sections of Polyhedra -- 1. CT Scanners and 3-D Copiers -- 2. Cross -Sections of a Cube -- 3. Universal Tilers -- 4. Mitsubishi and the Star of David -- References -- Chapter 9 Symmetry of Platonic Solids -- 1. Diagonal Weights -- 2. A Ball and and a F ullerene -- 3. The Platonic Solids through Reflecting Mirrors -- References -- Chapter 10 Double Duty Solids -- 1. TetraPak -- 2. Double Duty Solids -- 3. Finding More Double Duty Solids -- 4. Eleven Types of e-Nets of a Cube -- References -- Chapter 11 Nets of Small Solids with Minimum Perimeter Lengths -- 1. Minimum Steiner Tree Problem -- 2. Melzak's Algorithm -- 3. Minimum Perimeter Nets for a Regular Octahedron -- 4. Minimum Perimeter Net for a Cube C -- 5. Soap Experiments for Minimum Steiner Trees -- 6. Soap Experiments for Nets with Minimum Perimeter Lengths for Small Solids -- References -- Chapter 12 Tessellation Polyhedra -- 1. Regular Faced Polyhedra. 2. Tessellation Polyhedra -- 3. Art -- References -- Chapter 13 Universal Measuring Boxes -- 1. How to Measure Water Using a 6 dL Box -- 2. Changing the Shape of the Box -- 3. Orthogonal Measuring Boxes -- 4. An Application of the Ternary System -- 5. Non-Orthogonal Universal Measuring Boxes -- Appendix 13.4.1 -- References -- Chapter 14 Wrapping a Box -- 1. Wrapping Technique of the Experts -- 2. Point Symmetric Skew Wrapping -- 3. Patchwork Surgery -- 4. Investigating Efficient Wrappings -- 5. Six Remarkable Wrappings Obtained by Patchwork Surgery -- 6. The Most Saving But Mummy-Like Wrapping -- References -- Chapter 15 Bees, Pomegranates and Parallelohedra -- 1. How to Pack Cans Efficiently -- 2. Honeycombs and Pomegranate Seeds -- 3. Applications of Sphere Packing -- 4. Rhombic Dodecahedron -- 5. Truncated Octahedron -- 6. Lattices and Voronoi Domains -- 7. Parallelohedra -- References -- Chapter 16 Reversible Polyhedra -- 1. A Pig to a Ham, a Fox to a Snake, and Panda Magic -- 2. Transformation of a Pig to Ham -- 3. How to Make a Fox-Snake Solid -- 4. Make a Fox-Snake Solid with Paper -- 5. Making Panda Magic! -- 6. How to Make Reversible Polyhedra -- 7. Who Will Come Out of the U.F.O.? -- 8. P1-lattices and (P, Q)-Chimera Superimpositions -- 9. P1-Reversible Pairs Among Canonical Parallelohedra -- 10 . Reversibility for Parallelohedra and the Double-Reversal-Plates Method -- References -- Chapter 17 Elements of Polygons and Polyhedra -- 1. The Power of Triangulation -- 2. Element Sets and Element Numbers -- 3. Hilbert's Third Problem and Dehn Theorem -- 4. An Element Set and the Element Number for Platonic Solids -- 5. Another Element Set for the Platonic Solids -- References -- Chapter 18 The Pentadron -- 1. Atoms for Parallelohedra -- 2. Another Way to Find a Pair of Pentadra -- 3. The Chart for Composing Five Parallelohedra with Pentadra. 4. Pentadral Complices -- 5. A Bridge Between Platonic Solids and Parallelohedra -- 6. Art and Design -- Appendix 18.1.1 -- References -- Figure Permissions -- © J Art 2015 -- © J Art 2023 -- Copyright -- Endnote -- Key Word Index -- Index -- Symbol. |
Record Nr. | UNINA-9910864199603321 |
Akiyama Jin | ||
Singapore : , : Springer, , 2024 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
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Treks into intuitive geometry : the world of polygons and polyhedra / / by Jin Akiyama, Kiyoko Matsunaga |
Autore | Akiyama Jin |
Edizione | [1st ed. 2015.] |
Pubbl/distr/stampa | Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 |
Descrizione fisica | 1 online resource (434 p.) |
Disciplina | 510 |
Soggetto topico |
Mathematics
Polytopes Discrete mathematics Mathematics in Art and Architecture Discrete Mathematics Popular Science in Mathematics |
ISBN | 4-431-55843-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1 Art From Tiling Patterns -- Chapter 2 The Tile-Maker Theorem and Its Applications to Art and Designs -- Chapter 3 Patchwork -- Chapter 4 Reversible Pairs of Figures -- Chapter 5 Platonic Solids -- Chapter 6 Cross-Sections of Polyhedra -- Chapter 7 Symmetry of Platonic Solids -- Chapter 8 Double Duty Solids -- Chapter 9 Nets of Small Solids with Minimum Perimeter Lengths -- Chapter 10 Tessellation Polyhedra -- Chapter 11 Universal Measuring Boxes -- Chapter 12 Wrapping a Box -- Chapter 13 Bees, Pomegranates and Parallelohedra -- Chapter 14 Reversible Polyhedra -- Chapter 15 Elements of Polygons and Polyhedra -- Chapter 16 The Pentadron. |
Record Nr. | UNINA-9910300250603321 |
Akiyama Jin | ||
Tokyo : , : Springer Japan : , : Imprint : Springer, , 2015 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|