Mathematical Solitaires and Games

Benjamin Swatzch

Editors Preface

SECTION ONE: Solitaire Games with Toys
Solving Instant Insanity Robert E. Levin The Mayblox Problem Margaret A. Farrell

A Solitaire Game and Its Relation to a Finite Field N. G. de Bruijn

Triangular Puzzle Peg Irvin Roy Hentzel

Parity and Centerness Applied to the SOMA Cube Michael J. Whinihanand Charles W. Trigg

The Tower of Brahma Revisited Ted Roth

Tower of Hanoi with More Pegs Brother Alfred Brousseau

SECTION TWO: Competitive Games
Compound Games with Counters Cedric A. B. Smith The Game of SIM Gustavus J. Simmons

Some Investigations into the Game of SIM A. P. DeLoach

SIM as a Game of Chance W. W. Funkenbusch

SIM on a Desktop Calculator John N. Nairn and A. B. Sperry

A Winning Strategy for SIM E. M. Rounds and S. S. Yau

The Graph of Positions for the Game of SIM G. L. O'Brien

Dots and Squares Ernest R. Ranucci An Analysis of "Square It" Thomas S. Briggs

Dots and Triangles Joseph Viggiano

Dots and Cubes Everett V. Jackson

A Winning Opening in Reverse Hex Ronald Evans

SECTION THREE: Solitaire Games
Arrows and Circuits Brian R. Barwell Knight Interchanges: 1 Robert E. Parkin

Knight Interchanges: 2 Ted Roth

The Stacked Playing Cards Robert E. Parkin

Extension of the Chain-Cutting Problem Donald R. Byrkit and William M. Walters, Jr.

The "12 + 1" False Coin Problem M. H. Greenblatt

BONUS SECTION: The Four-Color Problem The Mathematics of Map Coloring H. S. M. Coxeter

Every Planar Map is Four Colorable Kenneth Appel and Wolfgang Haken