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Fractals for the Classroom: Strategic Activities Volume One

  • Heinz-Otto Peitgen
  • Hartmut Jürgens
  • Dietmar Saupe
  • Evan Maletsky
  • Terry Perciante
  • Lee Yunker

Table of contents

  1. Front Matter
    Pages i-xii
  2. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Evan Maletsky, Terry Perciante, Lee Yunker
    Pages 1-36
  3. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Evan Maletsky, Terry Perciante, Lee Yunker
    Pages 37-68
  4. Heinz-Otto Peitgen, Hartmut Jürgens, Dietmar Saupe, Evan Maletsky, Terry Perciante, Lee Yunker
    Pages 69-108
  5. Back Matter
    Pages 109-129

About this book

Introduction

There are many reasons for writing this first volume of strategic activities on fractals. The most pervasive is the compelling desire to provide students of mathematics with a set of accessible, hands-on experiences with fractals and their underlying mathematical principles and characteristics. Another is to show how fractals connect to many different aspects of mathematics and how the study of fractals can bring these ideas together. A third is to share the beauty of their structure and shape both through what the eye sees and what the mind visualizes. Fractals have captured the attention, enthusiasm, and interest of many people around the world. To the casual observer, their color, beauty, and geometric structure captivates the visual senses like few other things they have ever experienced in mathematics. To the computer scientist, fractals offer a rich environment in which to explore, create, and build a new visual world as an artist creating a new work. To the student, fractals bring mathematics out of past history and into the twenty-first century. To the mathematics teacher, fractals offer a unique, new opportunity to illustrate both the dynamics of mathematics and its many connecting links.

Keywords

Calc Cantor Pascal Simula automata cellular automata chaos evaluation fractal dimension graphics mathematics object pattern sound standards

Authors and affiliations

  • Heinz-Otto Peitgen
    • 1
    • 2
  • Hartmut Jürgens
    • 1
  • Dietmar Saupe
    • 1
  • Evan Maletsky
    • 3
  • Terry Perciante
    • 4
  • Lee Yunker
    • 5
  1. 1.Institut für Dynamische SystemeUniversität BremenBremen 33Federal Republic of Germany
  2. 2.Department of MathematicsUniversity of CaliforniaSanta CruzUSA
  3. 3.Department of Mathematics and Computer ScienceMontclair State CollegeUpper MontclairUSA
  4. 4.Department of MathematicsWheaton CollegeWheatonUSA
  5. 5.Department of MathematicsWest Chicago Community High SchoolWest ChicagoUSA

Bibliographic information