Visualizing mathematics with 3D printing /:
"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-Euclid...
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Baltimore :
Johns Hopkins University Press,
2016.
|
Schlagworte: | |
Online-Zugang: | Volltext |
Zusammenfassung: | "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"--The publisher |
Beschreibung: | 1 online resource |
Bibliographie: | Includes bibliographical references and index. |
ISBN: | 9781421420363 1421420368 |
Internformat
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588 | 0 | |a Online resource; title from PDF title page (EBSCO, viewed July 26, 2016). | |
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adam_text | |
any_adam_object | |
author | Segerman, Henry, 1979- |
author_GND | http://id.loc.gov/authorities/names/n2015066173 |
author_facet | Segerman, Henry, 1979- |
author_role | aut |
author_sort | Segerman, Henry, 1979- |
author_variant | h s hs |
building | Verbundindex |
bvnumber | localFWS |
callnumber-first | Q - Science |
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callnumber-search | QA462.2.C65 |
callnumber-sort | QA 3462.2 C65 |
callnumber-subject | QA - Mathematics |
collection | ZDB-4-EBA |
contents | Cover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W. |
ctrlnum | (OCoLC)954000768 |
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dewey-search | 516.028/6 |
dewey-sort | 3516.028 16 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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spelling | Segerman, Henry, 1979- author. https://id.oclc.org/worldcat/entity/E39PCjrTbfq4q8vmrBTwBJjHmd http://id.loc.gov/authorities/names/n2015066173 Visualizing mathematics with 3D printing / Henry Segerman. Baltimore : Johns Hopkins University Press, 2016. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Online resource; title from PDF title page (EBSCO, viewed July 26, 2016). Cover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W. "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"--The publisher Geometry Computer-assisted instruction. Mathematics Computer-assisted instruction. Geometry Study and teaching. http://id.loc.gov/authorities/subjects/sh85054138 Geometrical constructions. http://id.loc.gov/authorities/subjects/sh85054128 Three-dimensional imaging. http://id.loc.gov/authorities/subjects/sh2001000478 Three-dimensional printing. http://id.loc.gov/authorities/subjects/sh2009006799 Géométrie Enseignement assisté par ordinateur. Mathématiques Enseignement assisté par ordinateur. Constructions géométriques. Imagerie tridimensionnelle. Impression tridimensionnelle. three-dimensional. aat 3-D printing. aat MATHEMATICS Geometry General. bisacsh Geometrical constructions fast Geometry Computer-assisted instruction fast Geometry Study and teaching fast Mathematics Computer-assisted instruction fast Three-dimensional imaging fast Three-dimensional printing fast Electronic book. has work: Visualizing mathematics with 3D printing (Text) https://id.oclc.org/worldcat/entity/E39PCGGvvwQBVwRGX8K7hqMPFC https://id.oclc.org/worldcat/ontology/hasWork Print version: Segerman, Henry. Visualizing mathematics with 3D printing. Baltimore : Johns Hopkins University Press, 2016 9781421420356 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1220058 Volltext |
spellingShingle | Segerman, Henry, 1979- Visualizing mathematics with 3D printing / Cover; Half Title; Title; Copyright; Contents; Preface; Acknowledgments; 1 Symmetry; 2 Polyhedra; 3 Four-Dimensional Space; 4 Tilings and Curvature; 5 Knots; 6 Surfaces; 7 Menagerie; Appendix A: Commentary on Figures; Appendix B: How I Made These Models; Index; A; B; C; D; E; F; G; H; I; K; L; M; N; O; P; Q; R; S; T; U; V; W. Geometry Computer-assisted instruction. Mathematics Computer-assisted instruction. Geometry Study and teaching. http://id.loc.gov/authorities/subjects/sh85054138 Geometrical constructions. http://id.loc.gov/authorities/subjects/sh85054128 Three-dimensional imaging. http://id.loc.gov/authorities/subjects/sh2001000478 Three-dimensional printing. http://id.loc.gov/authorities/subjects/sh2009006799 Géométrie Enseignement assisté par ordinateur. Mathématiques Enseignement assisté par ordinateur. Constructions géométriques. Imagerie tridimensionnelle. Impression tridimensionnelle. three-dimensional. aat 3-D printing. aat MATHEMATICS Geometry General. bisacsh Geometrical constructions fast Geometry Computer-assisted instruction fast Geometry Study and teaching fast Mathematics Computer-assisted instruction fast Three-dimensional imaging fast Three-dimensional printing fast |
subject_GND | http://id.loc.gov/authorities/subjects/sh85054138 http://id.loc.gov/authorities/subjects/sh85054128 http://id.loc.gov/authorities/subjects/sh2001000478 http://id.loc.gov/authorities/subjects/sh2009006799 |
title | Visualizing mathematics with 3D printing / |
title_auth | Visualizing mathematics with 3D printing / |
title_exact_search | Visualizing mathematics with 3D printing / |
title_full | Visualizing mathematics with 3D printing / Henry Segerman. |
title_fullStr | Visualizing mathematics with 3D printing / Henry Segerman. |
title_full_unstemmed | Visualizing mathematics with 3D printing / Henry Segerman. |
title_short | Visualizing mathematics with 3D printing / |
title_sort | visualizing mathematics with 3d printing |
topic | Geometry Computer-assisted instruction. Mathematics Computer-assisted instruction. Geometry Study and teaching. http://id.loc.gov/authorities/subjects/sh85054138 Geometrical constructions. http://id.loc.gov/authorities/subjects/sh85054128 Three-dimensional imaging. http://id.loc.gov/authorities/subjects/sh2001000478 Three-dimensional printing. http://id.loc.gov/authorities/subjects/sh2009006799 Géométrie Enseignement assisté par ordinateur. Mathématiques Enseignement assisté par ordinateur. Constructions géométriques. Imagerie tridimensionnelle. Impression tridimensionnelle. three-dimensional. aat 3-D printing. aat MATHEMATICS Geometry General. bisacsh Geometrical constructions fast Geometry Computer-assisted instruction fast Geometry Study and teaching fast Mathematics Computer-assisted instruction fast Three-dimensional imaging fast Three-dimensional printing fast |
topic_facet | Geometry Computer-assisted instruction. Mathematics Computer-assisted instruction. Geometry Study and teaching. Geometrical constructions. Three-dimensional imaging. Three-dimensional printing. Géométrie Enseignement assisté par ordinateur. Mathématiques Enseignement assisté par ordinateur. Constructions géométriques. Imagerie tridimensionnelle. Impression tridimensionnelle. three-dimensional. 3-D printing. MATHEMATICS Geometry General. Geometrical constructions Geometry Computer-assisted instruction Geometry Study and teaching Mathematics Computer-assisted instruction Three-dimensional imaging Three-dimensional printing Electronic book. |
url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1220058 |
work_keys_str_mv | AT segermanhenry visualizingmathematicswith3dprinting |