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Visualizing Mathematics with 3D Printing

Henry Segerman

Publication Date
Binding Type

The first book to explain mathematics using 3D printed models.

Winner of the Technical Text of the Washington Publishers

Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s...

The first book to explain mathematics using 3D printed models.

Winner of the Technical Text of the Washington Publishers

Wouldn’t it be great to experience three-dimensional ideas in three dimensions? In this book—the first of its kind—mathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book’s insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer.

Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic.

Reviews

Reviews

My best advice is to go out and buy yourself a copy of the book.

The breadth of Segerman’s 3D printing explorations is impressive. Coupled with the clarity of his explanations of the mathematics behind those explorations, this book becomes an easy recommendation for any reader interested in learning some beautiful mathematical ideas.

No previous mathematical maturity is required. The work is a good addition to any academic library. Highly recommended

... this book serves as a launching point for teachers who are interested in exploring more advanced geometries or topology themselves. It could also guide conversations between STEM and arts educators trying to build an integrated learning experience.

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About

Book Details

Publication Date
Status
Available
Trim Size
7
x
10
Pages
200
ISBN
9781421420356
Illustration Description
132 color illus., 18 line drawings
Table of Contents

Preface
Acknowledgments
1. Symmetry
2. Polyhedra
3. Four-Dimensional Space
4. Tilings and Curvature
5. Knots
6. Surfaces
7. Menagerie
Appendix A
Appendix B
Index

Author Bio
Henry Segerman
Featured Contributor

Henry Segerman

Henry Segerman is one of the leading figures in the new world of math and 3D printing. He is an assistant professor of mathematics at Oklahoma State University.
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