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Visualizing Mathematics with 3D Printing, by Henry Segerman
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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.
- Sales Rank: #108464 in Books
- Published on: 2016-07-25
- Original language: English
- Dimensions: 10.00" h x .60" w x 7.20" l, .88 pounds
- Binding: Hardcover
- 200 pages
Review
This book truly reaches into the third dimension and makes complex geometrical models easier to understand. As a bonus, it's closely coupled with an interactive website and the 3D printed models you can access there. Equally valuable for those of us wrapping our heads around 3D printed mathematical objects and for students of symmetry, topology, knot theory, or regular polyhedra.
(Carlo H. Séquin, University of California, Berkeley)Henry Segerman has made a name for himself demystifying advanced mathematics with the help of 3D printed models. Here, he tackles some difficult concepts―from symmetry to curvature to the shadowy world of four-dimensional shapes―with clear, inviting explanations and beautiful 3D printed illustrations.
(Evelyn Lamb, University of Utah, author of Scientific American's Roots of Unity blog)Visual thinkers, rejoice! Three-dimensional shapes have never been so lovingly illustrated. Segerman’s gorgeous 3D printed models, and his equally beautiful explanations, make this book a treat for the right-brained among us.
(Steven Strogatz, Author of The Joy of x: A Guided Tour of Math, from One to Infinity)When someone unfamiliar with mathematics walks into my office expecting an explanation of the fourth dimension or hyperbolic space, the first thing I do is pull out some of Henry Segerman's sculptures. His book reveals the mathematics of these forms, as well as his deep aesthetic sensibility.
(Vi Hart, mathemusician and virtual reality philosopher)My best advice is to go out and buy yourself a copy of the book.
(Chalkdust Magazine)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.
(Journal of Mathematics and the Arts)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.
About the Author
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.
Most helpful customer reviews
0 of 1 people found the following review helpful.
inspiring book
By Oliver Knill
The book is inspiring, well written and wonderfully printed.
It is accessible as it is more like an art book than a technical
or mathematical book.
The choice of objects which were printed is rather
conservative: polyhedra and polytopes, three dimensional
curved objects, knots and surfaces. Some topics were inspired
by early pioneers of 3D printing like George Hart. There
are also example sculptures from artists like
Vladimir Bulatov or Bathsheba Gossman.
An appendix contains some comments on pictures, sometimes with
hints on where the inspiration comes from. Unfortunately a
bibliography is missing.
The first chapter contains some information how the photographs
were obtained. In an appendix there is some information on
how the objects were generated. It is however not a technical
"how to" book. This is smart, as such a book would be short lived.
It is also not a mathematical book. I would place it into the
art and graphics section as sculptures are a form of graphics.
Having seen a draft of an early version of the book, I felt
already then, it would become a nice book. As it is challenging to bring
mathematics to a more general audience, I'm surprised how well
it turned out. I approve of the perfect title as I had
co-authored in 2013 an article with a similar title and it really
hits the spot of the book: it is all about the art of
visualization of mathematical structures with an exciting new
technology.
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