Geometry in our three-dimensional world:
"The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics - from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspecti...
Saved in:
| Main Authors: | , , , , , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2022]
|
| Series: | Problem solving in mathematics and beyond
Volume 25 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | "The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics - from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses - this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives. The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations"-- |
| Physical Description: | xvi, 424 Seiten Illustrationen, Karten |
| ISBN: | 9789811237744 9789811237102 |
Staff View
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Record in the Search Index
| _version_ | 1804183126740566016 |
|---|---|
| adam_text | Contents Preface v About the Authors xi Chapter 1 Our World is Three-Dimensional Chapter 2 The Eight Basic Elements of Spatial Thinking Chapters S patial Representation Chapter 4 The Geometry on a Sphere 1 15 51 73 Chapter 5 The Earth, the Sun and the Moon 113 Chapter 6 Simple Solid Shapes 149 Chapter 7 How to Sew a Ball — A Polyhedral Approach 175 Chapter 8 Patterns: Voronoi, Kindergarten, Economy, and Epidemics 193 Chapter 9 Packing Problems 229 Chapter 10 Fascinating Shapes 251 Chapter 11 Manipulating Two Dimensions in a Three-Dimensional World — Origami in Space 273 XV
xvi Contents Chapter 12 Knot Theory 299 Chapter 13 Kinematics — The Geometry of Motion 325 Chapter 14 The Art of Designing Three-Dimensional Models 351 Chapter 15 A View of a World with More Than Three Dimensions 385 Index 411
|
| adam_txt |
Contents Preface v About the Authors xi Chapter 1 Our World is Three-Dimensional Chapter 2 The Eight Basic Elements of Spatial Thinking Chapters S patial Representation Chapter 4 The Geometry on a Sphere 1 15 51 73 Chapter 5 The Earth, the Sun and the Moon 113 Chapter 6 Simple Solid Shapes 149 Chapter 7 How to Sew a Ball — A Polyhedral Approach 175 Chapter 8 Patterns: Voronoi, Kindergarten, Economy, and Epidemics 193 Chapter 9 Packing Problems 229 Chapter 10 Fascinating Shapes 251 Chapter 11 Manipulating Two Dimensions in a Three-Dimensional World — Origami in Space 273 XV
xvi Contents Chapter 12 Knot Theory 299 Chapter 13 Kinematics — The Geometry of Motion 325 Chapter 14 The Art of Designing Three-Dimensional Models 351 Chapter 15 A View of a World with More Than Three Dimensions 385 Index 411 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Posamentier, Alfred S. 1942- Thaller, Bernd 1956- Dorner, Christian Geretschläger, Robert 1957- Maresch, Günter Spreitzer, Christian 1979- Stuhlpfarrer, David ca. 20./21. Jh |
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| author_facet | Posamentier, Alfred S. 1942- Thaller, Bernd 1956- Dorner, Christian Geretschläger, Robert 1957- Maresch, Günter Spreitzer, Christian 1979- Stuhlpfarrer, David ca. 20./21. Jh |
| author_role | aut aut aut aut aut aut aut |
| author_sort | Posamentier, Alfred S. 1942- |
| author_variant | a s p as asp b t bt c d cd r g rg g m gm c s cs d s ds |
| building | Verbundindex |
| bvnumber | BV047657814 |
| classification_rvk | SN 100 |
| ctrlnum | (OCoLC)1302320179 (DE-599)BVBBV047657814 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| index_date | 2024-07-03T18:51:38Z |
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| institution | BVB |
| isbn | 9789811237744 9789811237102 |
| language | English |
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| physical | xvi, 424 Seiten Illustrationen, Karten |
| publishDate | 2022 |
| publishDateSearch | 2022 |
| publishDateSort | 2022 |
| publisher | World Scientific |
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| series | Problem solving in mathematics and beyond |
| series2 | Problem solving in mathematics and beyond |
| spelling | Posamentier, Alfred S. 1942- Verfasser (DE-588)139732810 aut Geometry in our three-dimensional world Alfred S. Posamentier (The City University of New York, USA), Bernd Thaller (University of Graz, Austria), Christian Dorner (University of Vienna, Austria), Robert Geretschläger (BRG Kepler H.S., Graz, Austria), Günter Maresch (University of Salzburg, Austria), Christian Spreitzer (University College of Teacher Education Lower Austria, Austria), David Stuhlpfarrer (University College of Teacher Education Styria, Austria) New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2022] © 2022 xvi, 424 Seiten Illustrationen, Karten txt rdacontent n rdamedia nc rdacarrier Problem solving in mathematics and beyond Volume 25 "The book presents a comprehensive overview of various aspects of three-dimensional geometry that can be experienced on a daily basis. By covering the wide range of topics - from the psychology of spatial perception to the principles of 3D modelling and printing, from the invention of perspective by Renaissance artists to the art of Origami, from polyhedral shapes to the theory of knots, from patterns in space to the problem of optimal packing, and from the problems of cartography to the geometry of solar and lunar eclipses - this book provides deep insight into phenomena related to the geometry of space and exposes incredible nuances that can enrich our lives. The book is aimed at the general readership and provides more than 420 color illustrations that support the explanations and replace formal mathematical arguments with clear graphical representations"-- Dreidimensionale Geometrie (DE-588)4150633-9 gnd rswk-swf Unterhaltungsmathematik (DE-588)4124357-2 gnd rswk-swf Geometry, Solid Polyhedra Three-dimensional modeling Dreidimensionale Geometrie (DE-588)4150633-9 s Unterhaltungsmathematik (DE-588)4124357-2 s DE-604 Thaller, Bernd 1956- Verfasser (DE-588)132647257 aut Dorner, Christian Verfasser (DE-588)1252402872 aut Geretschläger, Robert 1957- Verfasser (DE-588)1076246850 aut Maresch, Günter Verfasser (DE-588)1094924598 aut Spreitzer, Christian 1979- Verfasser (DE-588)116089390X aut Stuhlpfarrer, David ca. 20./21. Jh. Verfasser (DE-588)1279662646 aut Erscheint auch als Online-Ausgabe, for institutions 978-981-1237-11-9 Erscheint auch als Online-Ausgabe, for individuals 9789811237126 Problem solving in mathematics and beyond Volume 25 (DE-604)BV044751519 25 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033042704&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Posamentier, Alfred S. 1942- Thaller, Bernd 1956- Dorner, Christian Geretschläger, Robert 1957- Maresch, Günter Spreitzer, Christian 1979- Stuhlpfarrer, David ca. 20./21. Jh Geometry in our three-dimensional world Problem solving in mathematics and beyond Dreidimensionale Geometrie (DE-588)4150633-9 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| subject_GND | (DE-588)4150633-9 (DE-588)4124357-2 |
| title | Geometry in our three-dimensional world |
| title_auth | Geometry in our three-dimensional world |
| title_exact_search | Geometry in our three-dimensional world |
| title_exact_search_txtP | Geometry in our three-dimensional world |
| title_full | Geometry in our three-dimensional world Alfred S. Posamentier (The City University of New York, USA), Bernd Thaller (University of Graz, Austria), Christian Dorner (University of Vienna, Austria), Robert Geretschläger (BRG Kepler H.S., Graz, Austria), Günter Maresch (University of Salzburg, Austria), Christian Spreitzer (University College of Teacher Education Lower Austria, Austria), David Stuhlpfarrer (University College of Teacher Education Styria, Austria) |
| title_fullStr | Geometry in our three-dimensional world Alfred S. Posamentier (The City University of New York, USA), Bernd Thaller (University of Graz, Austria), Christian Dorner (University of Vienna, Austria), Robert Geretschläger (BRG Kepler H.S., Graz, Austria), Günter Maresch (University of Salzburg, Austria), Christian Spreitzer (University College of Teacher Education Lower Austria, Austria), David Stuhlpfarrer (University College of Teacher Education Styria, Austria) |
| title_full_unstemmed | Geometry in our three-dimensional world Alfred S. Posamentier (The City University of New York, USA), Bernd Thaller (University of Graz, Austria), Christian Dorner (University of Vienna, Austria), Robert Geretschläger (BRG Kepler H.S., Graz, Austria), Günter Maresch (University of Salzburg, Austria), Christian Spreitzer (University College of Teacher Education Lower Austria, Austria), David Stuhlpfarrer (University College of Teacher Education Styria, Austria) |
| title_short | Geometry in our three-dimensional world |
| title_sort | geometry in our three dimensional world |
| topic | Dreidimensionale Geometrie (DE-588)4150633-9 gnd Unterhaltungsmathematik (DE-588)4124357-2 gnd |
| topic_facet | Dreidimensionale Geometrie Unterhaltungsmathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=033042704&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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