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Sherman K. Stein, Sándor Szabó

Algebra and Tiling Homomorphism in the Service of Geometry

Preface .....................................................

Chapter 1

Minkowskis Conjecture .................................. 1

Chapter 2

Cubical Clusters ......................................-.3 5

Chapter 3

Tiling by the Semicross and Cross .......................5 7

Chapter 4

Packing and Covering by the Semicross and Cross ....... -85

Chapter 5

Tiling by of EquaI Areas ..................... .1W

Chapter 6

Tiling by Srrmlar liiangles ............................1.3 5

Chapter 7

Redeis Theorem .............................1 55

Epilog ...................................................I.8.7

Appendix A

Lattices . ...................................-.1 89

Appendix B

I The Charabt&l ulcrup a+ Exact Sequences ............ ,193

Appendix C

Formal Sums .........................................I.9 7

Appendix D

Cyclotomic Polynomials ...............................

Bibliography for Preface ...................................

Name Index .............................................2.0. 3

Subject Index .............................................2.0

Symbol Index.............................................2.0 7