Princeton Science Library
eBook - PDF

Princeton Science Library

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

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  2. PDF
  3. Available on iOS & Android
eBook - PDF

Princeton Science Library

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

Book details
Table of contents
Citations

About This Book

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.

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Information

Publisher
Princeton University Press
Year
2020
ISBN
9780691215051
Topic
Mathematics
Subtopic
Games in Mathematics
Index
Mathematics

Table of contents

  1. Cover Page
  2. Half-title Page
  3. Title Page
  4. Copyright Page
  5. Dedication Page
  6. Contents
  7. Preface to the Revised Edition
  8. Preface to the First Edition
  9. Chapter 1. Polyominoes and Checkerboards
  10. Chapter 2. Patterns and Polyominoes
  11. Chapter 3. Where Pentominoes Will Not Fit
  12. Chapter 4. Backtracking and Impossible Constructions
  13. Chapter 5. Some Theorems about Counting
  14. Chapter 6. Bigger Polyominoes and Higher Dimensions
  15. Chapter 7. Generalizations of Polyominoes
  16. Chapter 8. Tiling Rectangles with Polyominoes
  17. Chapter 9. Some Truly Remarkable Results
  18. Appendix A. Answers to Exercises in Chapter 5
  19. Appendix B. Problem Compendium
  20. Appendix C. Golomb's Twelve Pentomino Problems
  21. Appendix D. Klarner's Konstant and the Enumeration of N-Ominoes
  22. Glossary
  23. Bibliography for the First Edition
  24. Comprehensive Bibliography
  25. Name Index