1. Minkowski's conjecture; 2. Cubical clusters; 3. Tiling by the semicross and cross; 4. Packing and covering by the semicross and cross; 5. Tiling by triangles of equal areas; 6. Tiling by similar triangles; 7. Rédei's theorem; 8. Epilogue; Appendices; References.
A concise investigation into the connections between tiling space problems and algebraic ideas, suitable for undergraduates.
Sherman Stein received his PhD from Columbia University. His research interests are primarily algebra and combinatorics. He has received the Lester R. Ford prize for exposition. He is now retired from teaching at the University of California, Davis. Sandor Szabó received his PhD from Eötvös University. He currently teaches in the Institute of Mathematics and Informatics at the University of Pécs, in Hungary.
'Algebra and Tiling is perfect for bringing alive an abstract algebra course. Intuitive but difficult problems of geometry are translated into algebraic problems more amenable to solution. Full of nice surprises, the book is a pleasure to read.' Choice
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