| Edition |
Second edition. |
| Description |
1 online resource |
| Physical Medium |
polychrome |
| Description |
text file |
| Note |
First published: Natick, Mass. : A.K. Peters, 2003. |
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Cover; Half Title; Title Page; Copyright Page; Dedication; Table of Contents; Preface to the Second Edition; Preface to the Original Edition; Games in Clubs!; 14 Turn and Turn About; Turning Turtles; Mock Turtles; Odious and Evil Numbers; Moebius, Mogul and Gold Moidores; The Mock Turtle Theorem; Why Moebius?; Mogul; Motley; Twins, Triplets, Etc.; The Ruler Game; Circumscribed Games; Turnips (or Ternups); Grunt; Sym; Two-Dimensional Turning Games; Acrostic Twins; Turning Corners; Nim-Multiplication; Swirling Tartans; The Tartan Theorem; Rugs, Carpets, Windows and Doors; Acrostic Games |
|
Stripping and StreakingUglification and Derision; Unlocking Doors; Sparring, Boxing and Fencing; "Coins" (or Heaps) with Infinitely Many (or 22N) ""Sides; References and Further Reading; 15 Chips and Strips; The Silver Dollar Game; Profit from Gaming Tables; Antonim; Synonim; Simonim; Staircase Fives; Twopins (pronounced "Tuppins"); Cram; Welter's Game; Four-Coin Welter is Just Nim; And So's Three-Coin Welter!; The Congruence Modulo 16; Frieze Patterns; Inverting the Welter Function; The Abacus Positions; The Abacus Strategy; The Misère Form of Welter's Game; Kotzig's Nim; Fibonacci Nim |
|
More Generally Bounded NimEpstein's Put-or-Take-a-Square Game; Tribulations and Fibulations; Third One Lucky; Hickory, Dickory, Dock; D.U.D.E.N.E.Y; Strings of Pearls; Schuhstrings; The Princess and the Roses; One-Step, Two-Step; More on Subtraction Games; Smallest Nim, Largest Nim; Moore's Nimk; The More the Merrier; Moore and More; Not with a Bang but a Whim; Did You Win the Silver Dollar?; How Was Your Arithmetic?; In Put-or-Take-a-Square , 92 Is an N-Position; Tribulations and Fibulations; Our Code of Behavior for Princes; References and Further Reading; 16 Dots-and-Boxes |
|
Double-Dealing Leads to Double-CrossesHow Long Is ''Long''?; The 4-Box Game; The 9-Box Game; The 16-Box Game; Other Shapes of Board; Dots-and-Boxes and Strings-and-Coins; Nimstring; Why Long Is Long; To Take or Not to Take a Coin in Nimstring; Sprague-Grundy Theory for Nimstring Graphs; All Long Chains Are the Same; Which Mutations Are Harmless?; Chopping and Changing; Vines; Dots + Doublecrosses = Turns; How Dodie Can Win the 4-Box Game; When Is it Best to Lose Control?; Computing the Values of Vines; Loony Endgames Are NP-Hard; Solutions to Dots-and-Boxes Problems |
|
Some More Nimstring ValuesNimbers for Nimstring Arrays; References and Further Reading; 17 Spots and Sprouts; Rims; Rails; Loops-and-Branches; Contours; Lucasta; A Child's Guide to Normal Lucasta; The Misère Form of Lucasta; The Positions (7, 3, 1) and (11, 1, 1); Cabbages; or Bugs, Caterpillars and Cocoons; Jocasta; Sprouts; Brussels Sprouts; Stars-and-Stripes; Bushenhack; Genetic Codes for Nim; Bushenhack Positions Have Genetic Codes!; Von Neumann Hackenbush; The Joke in Jocasta; The Worm in Brussels Sprouts; Bushenhack; References and Further Reading; 18 The Emperor and His Money |
| Summary |
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure. In Volume 3, the authors examine Games played in Clubs, giving case studies for coin and paper-and-pencil games, such as Dots-and-Boxes and Nimstring. From the Table of Contents: - Turn and Turn About - Chips and Strips - Dots-and-Boxes - Spots and Sprouts - The Emperor and His Money - The King and the Consumer - Fox and Geese; Hare and Hounds - Lines and Squares. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Mathematical recreations.
|
|
Mathematical recreations. |
| Genre/Form |
Electronic books.
|
| Added Author |
Conway, John H. (John Horton), author.
|
|
Guy, Richard K., author.
|
| Other Form: |
Print version: 9781138427563(Hardback) |
| ISBN |
9780429945571 (electronic book) |
|
0429945574 (electronic book) |
|
9781138427563 |
|
9781568811437 |
|
9780429945618 |
|
0429945612 |
| Standard No. |
10.1201/9780429487316 |
|
