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Polyominoes : Puzzles, Patterns, Problems, and Packings, Revised and Expanded Second Edition - Solomon W. Golomb

Polyominoes

Puzzles, Patterns, Problems, and Packings, Revised and Expanded Second Edition

Paperback Published: 7th April 1996
ISBN: 9780691024448
Number Of Pages: 200

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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.

Industry Reviews

"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

Preface to the Revised Editionp. ix
Preface to the First Editionp. xi
Polyominoes and Checkerboardsp. 3
Patterns and Polyominoesp. 12
Where Pentominoes Will Not Fitp. 20
Backtracking and Impossible Constructionsp. 30
Some Theorems about Countingp. 43
Bigger Polyominoes and Higher Dimensionsp. 70
Generalizations of Polyominoesp. 85
Tiling Rectangles with Polyominoesp. 97
Some Truly Remarkable Resultsp. 111
Answers to Exercises in Chapter 5p. 127
Problem Compendiump. 133
Golomb's Twelve Pentomino Problemsp. 146
Klarner's Konstant and the Enumeration of N-Ominoesp. 152
Glossaryp. 155
Bibliography for the First Editionp. 160
Comprehensive Bibliographyp. 162
Name Indexp. 183
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780691024448
ISBN-10: 0691024448
Series: Princeton Science Library (Paperback)
Audience: Tertiary; University or College
Format: Paperback
Language: English
Number Of Pages: 200
Published: 7th April 1996
Country of Publication: US
Dimensions (cm): 23.17 x 15.8  x 1.32
Weight (kg): 0.31
Edition Number: 2
Edition Type: Revised

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