Description
Book SynopsisTopics covered include combinatorial designs, combinatorial games, matroids, difference sets, Fibonacci numbers, finite geometries, Pascal's triangle, Penrose tilings, error-correcting codes, and many others. Anyone with an interest in mathematics, professional or recreational, will be sure to find this book both enlightening and enjoyable.
Table of Contents
- Introduction
- Blocks, sequences, bow ties, and worms
- Combinatorial games
- Fibonacci, Pascal, and Catalan
- Catwalks, sandsteps, and Pascal pyramids
- Unique rook circuits
- Sums, colorings, squared squares, and packings
- Difference sets and combinatorial designs
- Geometric connections
- The groups $PSL(2,7)$ and $GL(3,2)$ and why they are isomorphic
- Incidence matrices, codes, and sphere packings
- Kirkman's Schoolgirls, fields, spreads, and hats
- $(7,3,1)$ and combinatorics
- $(7,3,1)$ and normed algebras
- $(7,3,1)$ and matroids
- Coin turning games and Mock Turtles
- The $(11,5,2)$ biplane, codes, designs, and groups
- Rick's Tricky Six Puzzle: More than meets the eye
- $S(5,8,24)$
- The miracle octad generator
- Bibliography
- Index
