5 papers · 1 filter
The shortest game of Chinese Checkers and related problems
George I. Bell
In 1979, David Fabian found a complete game of two-person Chinese Checkers in 30 moves (15 by each player) [Martin Gardner, Penrose Tiles to Trapdoor Ciphers, MAA, 1997]. This solu…
Diamond Solitaire
George I. Bell
We investigate the game of peg solitaire on different board shapes, and find those of diamond or rhombus shape have interesting properties. When one peg captures many pegs consecut…
Triangular Peg Solitaire Unlimited
George I. Bell
Triangular peg solitaire is a well-known one-person game or puzzle. When one peg captures many pegs consecutively, this is called a sweep. We investigate whether the game can end i…
Solving Triangular Peg Solitaire
George I. Bell
We consider the one-person game of peg solitaire on a triangular board of arbitrary size. The basic game begins from a full board with one peg missing and finishes with one peg at…
New problems on old solitaire boards
George I. Bell, John D. Beasley
Some old peg solitaire boards are brought down from the literature, dusted off, and re-examined, and some remarkable problems are displayed on them.