The Magic Theorem : A Greatly-Expanded, Much-Abridged Edition of the Symmetries of Things (Ak Peters/crc Recreational Mathematics Series)

Conway, John H./ Burgiel, Heidi/ Goodman-Strauss, Chaim

Taylor & Francis Ltd（2025/07発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 192 p.
• 言語 ENG
• 商品コード 9781032162003
• DDC分類 516.1

Full Description

The Magic Theorem: a Greatly-Expanded, Much-Abridged Edition of The Symmetries of Things presents a wonder- fully unique re-imagining of the classic book, The Symmetries of Things. Begun as a standard second edition by the original author team, it changed in scope following the passing of John Conway. This version of the book fulfills the original vision for the project: an elementary introduction to the orbifold signature notation and the theory behind it.

The Magic Theorem features all the material contained in Part I of The Symmetries of Things, now redesigned and even more lavishly illustrated, along with new and engaging material suitable for a novice audience. This new book includes hands-on symmetry activities for the home or classroom and an online repository of teaching materials.

Contents

1 Symmetries. 2 Planar Patterns. 3 The Magic Theorem. 4 Symmetries of Spherical Patterns. 5 The Seven Types of Frieze Patterns. 6 Why the Magic Theorems Work. 7 Euler's Map Theorem. 8 The Classification of Surfaces. 9 Orbifolds. 10 A Bigger Picture. A Other Notations for the Plane and Spherical Groups.