Book 2013

A Tale of Two Fractals

Authors:

ISBN: 978-0-8176-8381-8 (Print) 978-0-8176-8382-5 (Online)

Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii

  2. The Sierpiński Gasket

    1. Front Matter

      Pages 1-1

    2. No Access

      Chapter

      Pages 3-17

      Definitions and General Properties

    3. No Access

      Chapter

      Pages 19-27

      The Laplace Operator on the Sierpiński Gasket

    4. No Access

      Chapter

      Pages 29-54

      Harmonic Functions on the Sierpiński Gasket

  3. The Apollonian Gasket

    1. Front Matter

      Pages 55-55

    2. No Access

      Chapter

      Pages 57-78

      Circles and Disks on Spheres

    3. No Access

      Chapter

      Pages 79-94

      Definition of the Apollonian Gasket

    4. No Access

      Chapter

      Pages 95-113

      Arithmetic Properties of Apollonian Gaskets

    5. No Access

      Chapter

      Pages 115-128

      Geometric and Group-Theoretic Approach

    6. No Access

      Chapter

      Pages 129-134

      MultiDimensional Apollonian Gaskets

  4. Back Matter

    Pages 135-138