| ISBN |
1108489583 (hardcover)
|
| ISBN13桁 |
9781108489584 (hardcover)
|
| 無効なISBN等 |
9781108778992 (electronic book)
|
| テキストの言語 |
英語
|
| 分類：NDC10版 |
410.8
|
| 個人著者標目 |
McMullen, Peter,
|
| 生没年等 |
1942-
|
| 本タイトル |
Geometric regular polytopes /
|
| 著者名 |
Peter McMullen.
|
| 出版地・頒布地 |
Cambridge, United Kingdom ;
|
| 出版者・頒布者名 |
Cambridge University Press,
|
| 出版年・頒布年 |
2020,
|
| 数量 |
xi, 603 pages :
|
| 他の形態的事項 |
illustrations ;
|
| 大きさ |
24 cm.
|
| 書誌注記 |
Includes bibliographical references and indexes.
|
| 内容注記 |
Euclidean space -- Abstract regular polytopes -- Realizations of symmetric sets -- Realizations of polytopes -- Operations and constructions -- Rigidity -- Classical regular polytopes -- Non-classical polytopes -- General families -- Three-dimensional apeirohedra -- Four-dimensional polyhedra -- Four-dimensional apeirotopes -- Higher-dimensional cases -- Gosset-Elte polytopes -- Locally toroidal polytopes -- A family of 4-polytopes -- Two families of 5-polytopes.
|
| 要約、抄録、注釈等 |
"Regular polytopes and their symmetry have a long history stretching back two and a half millennia, to the classical regular polygons and polyhedra. Much of modern research focuses on abstract regular polytopes, but significant recent developments have been made on the geometric side, including the exploration of new topics such as realizations and rigidity, which offer a different way of understanding the geometric and combinatorial symmetry of polytopes. This is the first comprehensive account of the modern geometric theory, and includes a wide range of applications, along with new techniques. While the author explores the subject in depth, his elementary approach to traditional areas such as finite reflexion groups makes this book suitable for beginning graduate students as well as more experienced researchers"-- Provided by publisher.
|
| 統一タイトル(シリーズ副出標目) |
Encyclopedia of mathematics and its applications ;
|
| シリーズの巻次 |
v. 172.
|
| シリーズ名・巻次 |
Encyclopedia of mathematics and its applications ; 172 |
| 一般件名 |
Polytopes.
Geometry. |
| 資料情報1 |
『Geometric regular polytopes /』（Encyclopedia of mathematics and its applications ;
172） Peter McMullen. Cambridge University Press, 2020,
（所蔵館：中央
請求記号：F/410.8/E56/E1-172
資料コード：7113040107）
|
| URL |
https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352043000 |
