Winning Ways for Your Mathematical Plays, Vol. 4

Cover
Half Title
Title Page
Copyright Page
Contents
Dedication
Preface to the Second Edition
Preface to the Original Edition
23 Purging Pegs Properly
	Central Solitaire
	Dudeney, Bergholt and Beasley
	Packages and Purges
	Packages Provide Perfect Panacea
	The Rule of Two and the Rule of Three
	Some Pegs AreMore Equal Than Others
	Reiss’s 16 Solitaire Position Classes
	The Continental Board
	Playing Backwards and Forwards
	Pagoda Functons
	The Solitaire Army
	Managing Your Resources
	Unproductivity and the Prodigal Son
	Deficit Accounting and the G.N.P
	Accounting for Two-Peg Reversal Problems
	Forgetting the Order Can Be Useful
	Beasley’s Exit Theorems
	A Stolid Survivor Problem
	Another Hard Problem
	The Spinner
	Our Fine Finalist
	Doing the Splits
	All Soluble One-Peg Problems on the Continental Board
	The Last Two Moves
	A 20-Man Solitaire Army
	Fool’s Solitaire, Etc
	Beasley Proves Bergholt Is Best
	The Classical Problems
	References and Further Reading
24 Pursuing Puzzles Purposefully
	Soma
	Blocks-in-a-Box
	Hidden Secrets
	The Hidden Secrets of Soma
	Hoffman’s Arithmetico-Geometric Puzzle
	Coloring Three-by-Threee-by-Three by Three, Bar Three
	Wire and String Puzzles
	The Magic Mirror Method
	The Barmy Braid
	The Artful Arrow
	The Magic Movie Method
	Party Tricks and Chinese Rings
	Chinese Rings and the Gray Code
	The Tower of Hano
	A Solitaire-Like Puzzle and Some Coin-Sliding Problems
	The Fifteen Puzzle and the Lucky Seven Puzzle
	All Other Courses for Point-to-Point
	The Hungarian Cube-Buvos Kocka
	Just How Chaotic Can the Cube Get?
	Chief Colors and Chief Faces
	Curing the Cube
	A: Aloft, Around (Adjust) and About
	B: Bottom Layer Corner Cubelets
	C: Central Layer Edge Cubelets
	D: Domiciling the Top Edge Cubelets
	E: Exchanging Pairs of Top Corners
	F: Finishing Flips and Fiddles
	Explanations
	Improvements
	Elena’s Elements
	Are You Partial to Partial Puzzles?
	Other “Hungarian” Objects
	A Trio of Sliding Block Puzzles
	Tactics for Solving Such Puzzles
	Counting YourMoves
	Paradoxical Pennies
	Paradoxical Dice
	More on Magic Squares
	The Magic Tesseract
	Adams’s Amazing Magic Hexagon
	The Great Tantalizer
	Polyominoes, Polyiamonds and Searching Policy
	Alan Schoen’s Cyclotome
	Macmahon’s Superdominoes
	Quitominal Dodecahedra
	The Doomsday Rule
	...and Easter Easily
	How Old is the Moon?
	Jewish New Year (Rosh Hashana)
	Blocks-in-a-Box
	The Somap
	Solutions to the Arithmetico-Geometric Puzzle
	...and One for “Three” Too!
	Hares and Tortoises
	The Lucky Seven Puzzle
	Top Face Alterations for the Hungarian Cube
	The Century Puzzle
	Adams’s Amazing Magic Hexagon
	Flags of the Allies Solution
	All Hexiamond Solutions Found
	The Three Quintominal Dodecahedra
	Answer to Exercise for Experts
	Where Do the Black Edges of Magmahon Squares Go?
	Doomsday Answers
	References and Further Reading
25 What is Life?
	Still Life
	Life Cycles
	The Glider and Other Space Ships
	The Unpredictability of Life
	Gardens of Eden
	Life’s Problems are Hard!
	Making a Life Computer
	When Glider Meets Glider
	How to Make a not Gate
	The Eater
	Gliders Can Build Their Own Guns!
	The Kickback Reaction
	Thinning a Glider Stream
	Building Blocks for Our Computer
	Auxiliary Storage
	How We Move Blocks
	A Little Difficulty
	Mission Completed–Will Self-Destruct
	Life Computers Can Reproduce!
	Genetic Engineering
	Whither Life?
	References and Further Reading