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Treks into intuitive geometry = the world of polygons and polyhedra /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Treks into intuitive geometry/ by Jin Akiyama, Kiyoko Matsunaga.
其他題名:	the world of polygons and polyhedra /
作者:	Akiyama, Jin.
其他作者:	Matsunaga, Kiyoko.
出版者:	Singapore :Springer Nature Singapore : : 2024.,
面頁冊數:	ix, 612 p. :ill., digital ;24 cm.
內容註:	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.
Contained By:	Springer Nature eBook
標題:	Geometry. -
電子資源:	https://doi.org/10.1007/978-981-99-8608-8
ISBN:	9789819986088

Treks into intuitive geometry = the world of polygons and polyhedra /
Akiyama, Jin.

Treks into intuitive geometrythe world of polygons and polyhedra /[electronic resource] :by Jin Akiyama, Kiyoko Matsunaga. - Second edition. - Singapore :Springer Nature Singapore :2024. - ix, 612 p. :ill., digital ;24 cm.

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.

ISBN: 9789819986088

Standard No.: 10.1007/978-981-99-8608-8doiSubjects--Topical Terms:

517251
Geometry.

LC Class. No.: QA440

Dewey Class. No.: 516

Treks into intuitive geometry = the world of polygons and polyhedra /
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