| Record ID | marc_columbia/Columbia-extract-20221130-003.mrc:363673618:3238 |
| Source | marc_columbia |
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LEADER: 03238mam a2200373 a 4500
001 1401347
005 20220602025253.0
008 940929s1994 njua b 001 0 eng
010 $a 93041756
020 $a0691085730
035 $a(OCoLC)29358809
035 $a(OCoLC)ocm29358809
035 $9AHR3678CU
035 $a(NNC)1401347
035 $a1401347
040 $aDLC$cDLC$dDLC$dNjP
050 00 $aQA166.75$b.G65 1994
082 00 $a511/.6$220
100 1 $aGolomb, Solomon W.$q(Solomon Wolf)$0http://id.loc.gov/authorities/names/n83827071
245 10 $aPolyominoes : puzzles, patterns, problems and packings :$bSolomon W. Golomb /$cwith more than 190 diagrams by Warren Lushbaugh.
250 $a2nd ed.
260 $aPrinceton, N.J. :$bPrinceton University Press,$c1994.
300 $axii, 184 pages :$billustrations ;$c24 cm
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
504 $aIncludes bibliographical references and index.
505 0 $aCh. 1. Polyominoes and Checkerboards -- Ch. 2. Patterns and Polyominoes -- Ch. 3. Where Pentominoes Will Not Fit -- Ch. 4. Backtracking and Impossible Constructions -- Ch. 5. Some Theorems about Counting -- Ch. 6. Bigger Polyominoes and Higher Dimensions -- Ch. 7. Generalizations of Polyominoes -- Ch. 8. Tiling Rectangles with Polyominoes -- Ch. 9. Some Truly Remarkable Results -- Appendix B. Problem Compendium -- Appendix C. Golomb's Twelve Pentomino Problems / Andy Liu -- Appendix D. Klarner's Konstant and the Enumeration of N-Ominoes.
520 $aInspiring popular video games like Tetris while contributing to the study of combinotorial 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 polyominoes, incorporoting the most important recent developments.
520 8 $aDeceptively simple, polyominoes are a collection of squares joined together along their edges. But how many different polyominoes can you make with 5 squares, 6 squares, n squares? If you have a set of pentominoes (shapes consisting of five squares) could you cover a rectangle with them? What would happen if you had cubes instead of squares? Could you pack a box with them?
520 8 $aPosing problems and giving answers along the way, Golomb invites the reader to play with these mathematical structures and develop on understanding of their extraordinary properties. In this new edition, he addresses, for example, the properties of octominoes and enneominoes and the problem of how to cover a donut with polyominoes. An extensive bibliography has been included to guide the reader to other interesting mathematical conundrums and to more advanced mathematical theories of polyominoes.
520 8 $aFor professional mathematicians and amateurs seeking further challenge, the author offers a host of new problems that remain to be solved.
650 0 $aPolyominoes.$0http://id.loc.gov/authorities/subjects/sh91006222
852 00 $bmat$hQA166.75$i.G65 1994