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Algebra and Tiling: Homorphisms in the Service of Geometry
About this Title
Sherman K. Stein, University of California, Davis and Sándor Szabó, University of Bahrain
Publication: Carus Mathematical Monographs
Publication Year:
1994; Volume 25
ISBNs: 978-1-4704-5111-0 (print); 978-1-61444-024-6 (online)
DOI: https://doi.org/10.5948/UPO9781614440246
MathSciNet review: MR1311249
MSC: Primary 52C22; Secondary 05B45, 52C20
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Minkowski’s Conjecture
- Chapter 2. Cubical Clusters
- Chapter 3. Tiling by the Semicross and Cross
- Chapter 4. Packing and Covering by the Semicross and Cross
- Chapter 5. Tiling by Triangles of Equal Areas
- Chapter 6. Tiling by Similar Triangles
- Chapter 7. Rédei’s Theorem
- Epilog
- Appendix A. Lattices
- Appendix B. The Character Group and Exact Sequences
- Appendix C. Formal Sums
- Appendix D. Cyclotomic Polynomials