Viewpoints: Mathematical Perspective and Fractal Geometry in Art

Viewpoints: Mathematical Perspective and Fractal Geometry in Art

by Marc Frantz
     
 

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ISBN-10: 0691125929

ISBN-13: 9780691125923

Pub. Date: 07/25/2011

Publisher: Princeton University Press

An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book,

Overview

An undergraduate textbook devoted exclusively to relationships between mathematics and art, Viewpoints is ideally suited for math-for-liberal-arts courses and mathematics courses for fine arts majors. The textbook contains a wide variety of classroom-tested activities and problems, a series of essays by contemporary artists written especially for the book, and a plethora of pedagogical and learning opportunities for instructors and students.

Viewpoints focuses on two mathematical areas: perspective related to drawing man-made forms and fractal geometry related to drawing natural forms. Investigating facets of the three-dimensional world in order to understand mathematical concepts behind the art, the textbook explores art topics including comic, anamorphic, and classical art, as well as photography, while presenting such mathematical ideas as proportion, ratio, self-similarity, exponents, and logarithms. Straightforward problems and rewarding solutions empower students to make accurate, sophisticated drawings. Personal essays and short biographies by contemporary artists are interspersed between chapters and are accompanied by images of their work. These fine artists—who include mathematicians and scientists—examine how mathematics influences their art. Accessible to students of all levels, Viewpoints encourages experimentation and collaboration, and captures the essence of artistic and mathematical creation and discovery.

  • Classroom-tested activities and problem solving
  • Accessible problems that move beyond regular art school curriculum
  • Multiple solutions of varying difficulty and applicability
  • Appropriate for students of all mathematics and art levels
  • Original and exclusive essays by contemporary artists
  • Forthcoming: Instructor's manual (available only to teachers)

Product Details

ISBN-13:
9780691125923
Publisher:
Princeton University Press
Publication date:
07/25/2011
Edition description:
New Edition
Pages:
258
Sales rank:
802,880
Product dimensions:
8.00(w) x 10.00(h) x 2.06(d)

Table of Contents

Preface vii
Acknowledgments ix

Chapter 1: Introduction to Perspective and Space Coordinates 1
Artist Vignette: Sherry Stone 9

Chapter 2: Perspective by the Numbers 13
Artist Vignette: Peter Galante 25

Chapter 3: Vanishing Points and Viewpoints 29
Artist Vignette: Jim Rose 39

Chapter 4: Rectangles in One-Point Perspective 43
What’s My Line?: A Perspective Game 55

Chapter 5: Two-Point Perspective 59
Artist Vignette: Robert Bosch 77

Chapter 6: Three-Point Perspective and Beyond 85
Artist Vignette: Dick Termes 113

Chapter 7: Anamorphic Art 117
Viewpoints at the Movies: The Hitchcock Zoom 135
Plates follow page 138

Chapter 8: Introduction to Fractal Geometry 139
Artist Vignette: Teri Wagner 157

Chapter 9: Fractal Dimension 161
Artist Vignette: Kerry Mitchell 193
Answers to Selected Exercises 197

Appendix: Information for Instructors 215
Annotated References 223
Index 229

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