Inspiring popular video games like Tetris while contributing to the study of combinatorial geometry and tiling theory, polyominoes have continued to spark interest ever since their inventor, Solomon Golomb, introduced them to puzzle enthusiasts several decades ago. In this fully revised and expanded edition of his landmark book, the author takes a new generation of readers on a mathematical journey into the world of the deceptively simple polyomino. Golomb incorporates important, recent developments, and poses problems, inviting the reader to play with and develop an understanding of the extraordinary properties of polyominoes.
Rezensionen / Stimmen
"The book covers all areas, both beginner and expert, thoroughly. Hundreds of diagrams illustrate the detailed, clearly written texts... A classic. From a simple idea, Golomb has created a ... science."--Colin Singleton, New Scientist "One of the most eagerly anticipated second editions in the history of mathematics, [Polyominoes] was worth it... Truly a jewel in the crown of mathematical royalty, this book deserves to be a runaway bestseller."--Charles Ashbacher, Journal of Recreational Mathematics "Truly a jewel in the crown of mathematical royalty, this book deserves to be a runaway bestseller."--Journal of Recreational Mathematics
Auflage
Revised and Expanded Second Edition
Sprache
Verlagsort
Zielgruppe
Für Beruf und Forschung
Für höhere Schule und Studium
Editions-Typ
Produkt-Hinweis
Illustrationen
200 line illustrations, 5 tables
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 12 mm
Gewicht
ISBN-13
978-0-691-02444-8 (9780691024448)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
Solomon W. Golomb, University Professor at the University of Southern California, teaches in the Departments of Mathematics and Electrical Engineering, invents mathematical puzzles, and publishes in many areas of science and technology.
Preface to the Revised EditionPreface to the First EditionCh. 1Polyominoes and Checkerboards3Ch. 2Patterns and Polyominoes12Ch. 3Where Pentominoes Will Not Fit20Ch. 4Backtracking and Impossible Constructions30Ch. 5Some Theorems about Counting43Ch. 6Bigger Polyominoes and Higher Dimensions70Ch. 7Generalizations of Polyominoes85Ch. 8Tiling Rectangles with Polyominoes97Ch. 9Some Truly Remarkable Results111Appendix A. Answers to Exercises in Chapter 5127Appendix B. Problem Compendium133Appendix C. Golomb's Twelve Pentomino Problems146Appendix D. Klamer's Konstant and the Enumeration of N-Ominoes152Glossary155Bibliography for the First Edition160Comprehensive Bibliography162Name Index183
