04202nam a22005655i 4500 978-981-99-8608-8 DE-He213 20251030112051.0 cr nn 008mamaa 240521s2024 si | s |||| 0|eng d 9789819986088 978-981-99-8608-8 10.1007/978-981-99-8608-8 doi N72.M3 PBW bicssc MAT003000 bisacsh PBW thema Akiyama, Jin. author. aut http://id.loc.gov/vocabulary/relators/aut 77173 Treks into Intuitive Geometry [electronic resource] : The World of Polygons and Polyhedra / by Jin Akiyama, Kiyoko Matsunaga. 2nd ed. 2024. Singapore : Springer Nature Singapore : Imprint: Springer, 2024. IX, 612 p. 905 illus., 352 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 1 Art From Tiling Patterns -- 2 The Tile-Maker Theorem and Its Applications to Art and Designs -- 3 Treks into Intuitive Geometry -- 4 Patchwork -- 5 Reversible Pairs of Figures -- 6 Reversibility and Foldability of Conway Tiles -- 7 Platonic Solids -- 8 Cross-Sections of Polyhedra -- 9 Symmetry of Platonic Solids -- 10 Double Duty Solids -- 11 Nets of Small Solids with Minimum Perimeter Lengths -- 12 Tessellation Polyhedra -- 13 Universal Measuring Boxes -- 14 Wrapping a Box -- 15 Bees, Pomegranates and Parallelohedra -- 16 Reversible Polyhedra -- 17 Elements of Polygons and Polyhedra -- 18 The Pentadron. This book is written in a style that uncovers the mathematical theories hidden in our daily lives, using examples of patterns that appear in nature, arts, traditional crafts, as well as mathematical mechanics in architectural techniques. The authors believe that through conversations between students and mathematicians, readers may learn about the methods used by the originators of these theories―their trials, errors, and triumphs―in reaching their various conclusions. The goal is to help readers refine their mathematical sense in terms of formulating valuable questions and pursuing them. In addition, the book aims to provide enjoyment in the application of mathematical principles to beautiful art and design by using examples that highlight the wonders and mysteries of these works found in our daily lives. To achieve these goals, the book tackles the latest exquisite results on polygons and polyhedra and the dynamic history of geometric research found around us. The term "intuitive geometry" was coined by Lászlo Fejes Tóth and refers to the kind of geometry which, in Hilbert's words, can be explained to and appeal to the "man on the street." This book enables readers to enjoy intuitive geometry informally and instinctively. It does not require more than a high school level of knowledge but calls for a sense of wonder, intuition, and mathematical maturity. In this second edition, many new results, and elegant proofs on a variety of topics have been added, enhancing the book’s rich content even further. Mathematics. 65523 Arts. 65405 Architecture Mathematics. 71644 Polytopes. 76843 Discrete mathematics. Mathematics in Art and Architecture. 71645 Polytopes. 76843 Discrete Mathematics. Mathematics. 65523 Matsunaga, Kiyoko. author. aut http://id.loc.gov/vocabulary/relators/aut 77174 SpringerLink (Online service) Springer Nature eBook Printed edition: 9789819986071 Printed edition: 9789819986095 Printed edition: 9789819986101 https://doi.org/10.1007/978-981-99-8608-8 ZDB-2-SMA ZDB-2-SXMS 60011 60011