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Viewpoints: Mathematical Perspective and Fractal Geometry in Art
 
 
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Viewpoints: Mathematical Perspective and Fractal Geometry in Art [Hardcover]

Marc Frantz , Annalisa Crannell

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Review

The book goes a long way trying to convey to its audience--through both theory and practice--professional techniques that could not fail but empower students to make accurate, sophisticated drawings. The book presents an elegant fusion of mathematical ideas and practical aspects of fine art. -- "Cut the Knot

[T]his is an excellent text that I will certainly consider using for a future class. The material on perspective is accessible, thorough and well-written, and the text is designed for a hands-on pedagogy that is well-suited to the intended audience. And as an elementary, but thorough, discussion of both the mathematics and practice of perspective drawing, it deserves a place in any collection of books on mathematics and the arts. -- Blake Mellor, Journal of Mathematics and the Arts

The writing is extremely clear, the material is fresh, and the many excellent diagrams clarify the ideas under discussion. The authors use relevant artwork to illustrate the mathematical principles. . . . The exercises are original and promote active learning. . . . This is an excellent work for academic curricula and an outstanding resource for self-study in mathematical perspective, fractals, and the relationship between art and mathematics. -- "Choice

Review

The book goes a long way trying to convey to its audience--through both theory and practice--professional techniques that could not fail but empower students to make accurate, sophisticated drawings. The book presents an elegant fusion of mathematical ideas and practical aspects of fine art. -- "Cut the Knot [T]his is an excellent text that I will certainly consider using for a future class. The material on perspective is accessible, thorough and well-written, and the text is designed for a hands-on pedagogy that is well-suited to the intended audience. And as an elementary, but thorough, discussion of both the mathematics and practice of perspective drawing, it deserves a place in any collection of books on mathematics and the arts. -- Blake Mellor, Journal of Mathematics and the Arts The writing is extremely clear, the material is fresh, and the many excellent diagrams clarify the ideas under discussion. The authors use relevant artwork to illustrate the mathematical principles... The exercises are original and promote active learning... This is an excellent work for academic curricula and an outstanding resource for self-study in mathematical perspective, fractals, and the relationship between art and mathematics. -- "Choice

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Front Cover | Copyright | Table of Contents | Excerpt | Index
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Amazon.com:  1 review
1 of 1 people found the following review helpful
Excellent textbook on the mathematics of Perspective 5 Sep 2011
By Ed Pegg - Published on Amazon.com
Format:Hardcover
At the start of the book, students are looking at normal hallways, rooms, and buildings through sheets of plexiglas, and tracing the outlines of what they see with drafting tape. From there, it's easy to see the concept of vanishing points.

A few pages later, an image from Jurassic Park with a velociraptor walking towards Sam Neill is shown. As an exercise, the students must compare the position of a clawtip to the bottom of a doorframe. I've messed up this issue of image placement many times, so this simple exercise brought home a lesson for me.

Interspersed are artist vignettes with Sherry Stone, Peter Galante, Jim Rose, Robert Bosch, Dick Termes, Teri Wagner, and Kerry Mitchell, each discussing and detailing a particularly useful mathematical technique in art.

The core part of the book is 1, 2, and 3 point perspective, but with the idea that you'll be using a modern program of some sort. Then they introduce fractal geometry in a way I didn't expect, by taking a picture of a patch of grass and a small rock, and photopasting in a toy gnu and a climber. Small rocks look like big rocks look like mountains. I knew that, but I hadn't been tricked by it before, so I got the lesson better this time.

Recommended.

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