Автор: Henry Segerman
Название: Visualizing Mathematics with 3D Printing
Издательство: Johns Hopkins University Press
Год: 2016
ISBN: 142142035X
Язык: English
Формат: pdf
Размер: 11,4 mb
Страниц: 200 p.: ill.
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.
Preface vii
Acknowledgments xi
1 Symmetry 1
2 Polyhedra 23
3 Four-Dimensional Space 33
4 Tilings and Curvature 69
5 Knots 97
6 Surfaces 111
7 Menagerie 149
Appendix A: Commentary on Figures 159
Appendix B: How I Made These Models 177
Index 181
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Visualizing Mathematics with 3D Printing 
