Polyominoes : : Puzzles, Patterns, Problems, and Packings - Revised and Expanded Second Edition / / Solomon W. Golomb, Solomon W. Golomb.
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...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2021] ©1994 |
Year of Publication: | 2021 |
Language: | English |
Series: | Princeton Science Library ;
111 |
Online Access: | |
Physical Description: | 1 online resource (198 p.) :; 200 line illustrations, 5 tables |
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Other title: | Frontmatter -- Contents -- Preface to the Revised Edition -- Preface to the First Edition Chapter 1. Polyominoes and Checkerboards -- Chapter 2. Patterns and Polyominoes -- Chapter 3. Where Pentominoes Will Not Fit -- Chapter 4. Backtracking and Impossible Constructions -- Chapter 5. Some Theorems about Counting -- Chapter 6. Bigger Polyominoes and Higher Dimensions -- Chapter 7. Generalizations of Polyominoes -- Chapter 8. Tiling Rectangles with Polyominoes -- Chapter 9. Some Truly Remarkable Results -- Appendix A. Answers to Exercises in Chapter 5 -- Appendix B. Problem Compendium -- Appendix C. Golomb's Twelve Pentomino Problems -- Appendix D. Klarner's Konstant and the Enumeration of N-Ominoes -- Glossary -- Bibliography for the First Edition -- Comprehensive Bibliography -- Name Index |
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Summary: | 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. |
Format: | Mode of access: Internet via World Wide Web. |
ISBN: | 9780691215051 |
DOI: | 10.1515/9780691215051?locatt=mode:legacy |
Access: | restricted access |
Hierarchical level: | Monograph |
Statement of Responsibility: | Solomon W. Golomb, Solomon W. Golomb. |