S.M.A.R.T. Circle Projects

Preface.- Table of Contents.- Chapter 1. Error-Correcting Codes.- Section 1. From the Alt Code to the Hamming Code.- Section 2. Two Applications of the Hamming Code.- Section 3. Reed-Muller Code.- Chapter 2. Regular and Semi-regular Polyhedra.- Section 1. Regular Polyhedra.- Section 2. A Polyhedral Metamorphosis.- Section 3. Semi-Regular Polyhedra.- Chapter 3. Polyform Compatibility.- Section 1. Tetris Number Theory.- Section 2. Tetris Algebra.- Section 3. Other Compatibility Problems.- Chapter 4. Mathematical Chess Problems.- Section 1. Adventures of an Apprentice Rook.- Section 2. Martin Gardner's Royal Problem.- Section 3. Knight Tours.- Chapter 5. Mathematical Induction.- Section 1. The Towers of Hanoi.- Section 2. A Problem on Greatest Common Divisors.- Section 3. Congo Bongo.- Chapter 6. Number Triangles.- Section 1. Pascal's Triangle.- Section 2. Rascal's Triangle.- Section 3. Triangles of Asbolute Difference.- Chapter 7. Summation Formulae.- Section 1. Sums of Powers of Integers.- Section 2. Zig-Zag.- Section 3. Two Great Escapes.- Chapter 8. Finite Projective Geometries.- Section 1. Lions and Ponies.- Section 2. Star Wars.- Section 3. Convenient Buildings.- Chapter 9. Sharing Loots.- Section 1. Sharing Jewels.- Section 2. Sharing Gold and Silver.- Section 3. Sharing Rum.- Chapter 10. Puzzling Adventures.- Section 1. Circuits Checking Circuits.- Section 2. The Coach's Dilemma.- Section 3. The Campers' Problem.- Appendix Additional Problems.

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Mathematical Circles;Mathematics Education;Mathematical Circle Student Projects;High School Mathematics;Mathematical Problems