Solving Permutation Puzzles
Solving Permutation Puzzles
with the aid of a computer
About the Book
Solving puzzles is a past time that a lot of people love. But with this love sometimes comes frustration. Instead of having the satisfaction of solving a puzzle a solution stays out of reach.
This book will gives you tips and tricks that help solve a large class of puzzles: permutation puzzles. It does so with the help of mathematics and software. Both subjects will aid you in your quest in solving puzzles like the Rubik's cube and the Brainbow.
About the Author
About the Contributors
Tjeerd Hans helped out by pointing out and correcting numerous mistakes
Table of Contents
- What this book is all about
-
Wolf, Sheep and Cabbage Puzzle
- Excercises
- Solving River Crossing Puzzles
-
Graphs
- Adjacency matrix
- Incidency matrix
- Excercises
- Implementation
-
Dijkstra Shortest Path Algorithm
- Pseudo Code
- Exercises
- Implementation
-
Permutations
- Composing Permutations
- Special Permutation; Identity
- Inverse Permutation
- Exercises
- Implementation
-
Cycle Notation
- Exercises
- Implementation
-
Groups
- Exercises
-
Generators
- Exercises
- Implementations
-
Words
- Free group
- Shortcut
- Exercises
- Implementation
-
Partial Success
- Procedure
- Exercises
- Implementations
-
Orbits
- Exercises
- Implementations
-
There…
- … and back again
- Exercises
- Implementations
-
Schreier-Sims
- Membership
- Exercises
- Implementations
-
Deja Vu
- Implementations
-
Hitting the ground running
- Software
- Puzzle
- Finding generators
- Creating group
- Membership
- Solving
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