A Geometrical Picture Book

  • Burkard┬áPolster

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xx
  2. Finite Geometries

    1. Front Matter
      Pages 1-1
    2. Burkard Polster
      Pages 3-17
    3. Burkard Polster
      Pages 19-26
    4. Burkard Polster
      Pages 27-38
    5. Burkard Polster
      Pages 39-66
    6. Burkard Polster
      Pages 93-105
    7. Burkard Polster
      Pages 107-116
    8. Burkard Polster
      Pages 117-124
    9. Burkard Polster
      Pages 125-134
    10. Burkard Polster
      Pages 135-154
    11. Burkard Polster
      Pages 155-160
    12. Burkard Polster
      Pages 161-171
    13. Burkard Polster
      Pages 173-184
    14. Burkard Polster
      Pages 185-196
    15. Burkard Polster
      Pages 197-202
  3. Geometries on Surfaces

    1. Front Matter
      Pages 203-203
    2. Burkard Polster
      Pages 205-218
    3. Burkard Polster
      Pages 219-222

About this book

Introduction

How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with? If you are a mathematician interested in finite or topological geometry and combinatorial designs, you could start by showing them some of the (400+) pictures in the "picture book". Pictures are what this book is all about; original pictures of everybody's favorite geometries such as configurations, projective planes and spaces, circle planes, generalized polygons, mathematical biplanes and other designs which capture much of the beauty, construction principles, particularities, substructures and interconnections of these geometries. The level of the text is suitable for advanced undergraduates and graduate students. Even if you are a mathematician who just wants some interesting reading you will enjoy the author's very original and comprehensive guided tour of small finite geometries and geometries on surfaces This guided tour includes lots of sterograms of the spatial models, games and puzzles and instructions on how to construct your own pictures and build some of the spatial models yourself.

Keywords

Finite Mathematica Partition configuration construction design foliation games geometry mathematics polygon

Authors and affiliations

  • Burkard┬áPolster
    • 1
  1. 1.Department of Pure MathematicsThe University of AdelaideAdelaideAustralia

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4419-8526-2
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6426-2
  • Online ISBN 978-1-4419-8526-2
  • Series Print ISSN 0172-5939
  • Series Online ISSN 2191-6675
  • About this book