8 citations · 23 across the 8 of their papers we have counts for
8 papers
Designing peg solitaire puzzles
George I. Bell
Peg solitaire is an old puzzle with a 300 year history. We consider two ways a computer can be utilized to find interesting peg solitaire puzzles. It is common for a peg solitaire…
Notes on solving and playing peg solitaire on a computer
George I. Bell
We consider the one-person game of peg solitaire played on a computer. Two popular board shapes are the 33-hole cross-shaped board, and the 15-hole triangle board---we use them as…
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…
The mathematics of Septoku
George I. Bell
Septoku is a Sudoku variant invented by Bruce Oberg, played on a hexagonal grid of 37 cells. We show that up to rotations, reflections, and symbol permutations, there are only six…
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…