Classical Topics in Discrete Geometry

Authors:

ISBN: 978-1-4419-0599-4 (Print) 978-1-4419-0600-7 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages i-xiii

  2. Classical Topics Revisited

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-16

      Sphere Packings

    3. No Access

      Book Chapter

      Pages 17-22

      Finite Packings by Translates of Convex Bodies

    4. No Access

      Book Chapter

      Pages 23-33

      Coverings by Homothetic Bodies - Illumination and Related Topics

    5. No Access

      Book Chapter

      Pages 35-45

      Coverings by Planks and Cylinders

    6. No Access

      Book Chapter

      Pages 47-56

      On the Volume of Finite Arrangements of Spheres

    7. No Access

      Book Chapter

      Pages 57-68

      Ball-Polyhedra as Intersections of Congruent Balls

  3. Selected Proofs

    1. Front Matter

      Pages 70-70

    2. No Access

      Book Chapter

      Pages 71-94

      Selected Proofs on Sphere Packings

    3. No Access

      Book Chapter

      Pages 95-99

      Selected Proofs on Finite Packings of Translates of Convex Bodies

    4. No Access

      Book Chapter

      Pages 101-114

      Selected Proofs on Illumination and Related Topics

    5. No Access

      Book Chapter

      Pages 115-120

      Selected Proofs on Coverings by Planks and Cylinders

    6. No Access

      Book Chapter

      Pages 121-133

      Selected Proofs on the Kneser–Poulsen Conjecture

    7. No Access

      Book Chapter

      Pages 135-151

      Selected Proofs on Ball-Polyhedra

  4. Back Matter

    Pages 153-163