Winning ways for your mathematical plays. Volume 2

Content: 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