Symmetry, shape and space: an introduction to mathematics through geometry
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Key College Publ. [u.a.]
2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XVIII, 494 S. Ill., graph. Darst., Kt. |
| ISBN: | 1930190093 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804128657478778880 |
|---|---|
| adam_text | Contents
Preface vii
To the Reader xiii
1. The Basics l
1.1 Measurement 1
1.2 Polygons 13
2. Grids 20
2.1. Billiards 20
2.2. Celtic Knots 30
3. Constructions 40
3.1. Ruler and Compass Constructions 40
3.2. The Pentagon and the Golden Ratio 51
3.3. Theoretical Origami 61
3.4. Knots and Stars 72
3.5. Linkages 78
4. Tesselations 85
4.1. Regular and Semiregular Tilings 85
4.2. Irregular Tilings 94
4.3. Penrose Tilings 115
5. Two Dimensional Symmetry 127
5.1. Kaleidoscopes 127
5.2. Rosette Groups: Point Symmetry 138
5.3. Frieze Patterns: Line Symmetry 147
5.4. Wallpaper Patterns: Plane Symmetry 156
5.5. Islamic Lattice Patterns 171
6. Other Dimensions, Other Worlds 180
6.1. Flatlands 180
6.2. The Fourth Dimension 194
7. Polyhedra 208
7.1. Pyramids, Prisms, and Antiprisms 208
7.2. The Platonic Solids 216
7.3. The Archimedean Solids 224
7.4. Polyhedral Transformations 230
7.5. Models of Polyhedra 235
7.6. Infinite Polyhedra 253
8. Three Dimensional Symmetry 263
8.1. Symmetries of Polyhedra 263
8.2. Three Dimensional Kaleidoscopes 270
9. Spiral Growth 279
9.1. Spirals and Helices 279
9.2. Fibonacci Numbers and Phyllotaxis 290
10. Drawing Three Dimensions in Two 300
10.1. Perspective 300
10.2. Optical Illusions 315
11. Shape 329
11.1. Noneuclidean Geometry 329
11.2. Map Projections 336
11.3. Curvature of Curves 349
11.4. Curvature of Surfaces 359
11.5. Soap Bubbles 372
12. Graph Theory 383
12.1. Graphs 383
12.2. Trees 393
12.3. Mazes 401
13. Topology 411
13.1. Dimension 411
13.2. Surfaces 421
13.3. More About Surfaces 431
13.4. Map Coloring Problems 439
Hints and Solutions to Selected Problems 449
Bibliography 481
Index 489
Permissions 493
|
| any_adam_object | 1 |
| author | Kinsey, Laura Christine Moore, T. E. |
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| author_variant | l c k lc lck t e m te tem |
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| bvnumber | BV013827675 |
| callnumber-first | Q - Science |
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| callnumber-subject | QA - Mathematics |
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| ctrlnum | (OCoLC)248075979 (DE-599)BVBBV013827675 |
| dewey-full | 516 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516 |
| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| isbn | 1930190093 |
| language | English |
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| spelling | Kinsey, Laura Christine Verfasser (DE-588)113682344 aut Symmetry, shape and space an introduction to mathematics through geometry L. Christine Kinsey ; Teresa E. Moore New York Key College Publ. [u.a.] 2002 XVIII, 494 S. Ill., graph. Darst., Kt. txt rdacontent n rdamedia nc rdacarrier Geometry Geometrie (DE-588)4020236-7 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Darstellende Geometrie (DE-588)4128330-2 gnd rswk-swf Darstellende Geometrie (DE-588)4128330-2 s DE-604 Symmetrie (DE-588)4058724-1 s 1\p DE-604 Geometrie (DE-588)4020236-7 s 2\p DE-604 Moore, T. E. Verfasser aut HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009456646&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kinsey, Laura Christine Moore, T. E. Symmetry, shape and space an introduction to mathematics through geometry Geometry Geometrie (DE-588)4020236-7 gnd Symmetrie (DE-588)4058724-1 gnd Darstellende Geometrie (DE-588)4128330-2 gnd |
| subject_GND | (DE-588)4020236-7 (DE-588)4058724-1 (DE-588)4128330-2 |
| title | Symmetry, shape and space an introduction to mathematics through geometry |
| title_auth | Symmetry, shape and space an introduction to mathematics through geometry |
| title_exact_search | Symmetry, shape and space an introduction to mathematics through geometry |
| title_full | Symmetry, shape and space an introduction to mathematics through geometry L. Christine Kinsey ; Teresa E. Moore |
| title_fullStr | Symmetry, shape and space an introduction to mathematics through geometry L. Christine Kinsey ; Teresa E. Moore |
| title_full_unstemmed | Symmetry, shape and space an introduction to mathematics through geometry L. Christine Kinsey ; Teresa E. Moore |
| title_short | Symmetry, shape and space |
| title_sort | symmetry shape and space an introduction to mathematics through geometry |
| title_sub | an introduction to mathematics through geometry |
| topic | Geometry Geometrie (DE-588)4020236-7 gnd Symmetrie (DE-588)4058724-1 gnd Darstellende Geometrie (DE-588)4128330-2 gnd |
| topic_facet | Geometry Geometrie Symmetrie Darstellende Geometrie |
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