Incidence and symmetry in design and architecture:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge u.a.
Cambridge Univ. Pr.
1983
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Cambridge urban and architectural studies
7 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 306 S. graph. Darst. |
| ISBN: | 0521230438 0521297842 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804114541795082240 |
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| adam_text | Titel: Incidence and symmetry in design and architecture
Autor: Baglivo, Jenny A
Jahr: 1983
Contents Forward vii Preface ix PART I INCIDENCE 1 Introduction 1 Chapter 1. Incidence and graph theory 3 1 Topological transformations 3 2 Basic graph theory 10 3 Directed graphs 22 4 Traversability 30 5 Distance 36 Chapter 2. Incidence in the plane 46 6 Maps 47 7 Planar graphs 53 8 Euler’s formula 60 9 Polyhedra 64 Chapter 3. Further applications of graph theory 76 10 Bracing structures 76 11 Optimal route design 88 12 Mean distance 98 13 Triangulations and organization graphs 111 Chapter 4. Topology of surfaces 120 14 Surfaces 120 15 Maps on surfaces 131 16 Tesselations of the plane 137 17 Compact surfaces 144 PART II SYMMETRY 153 Introduction 153 v
vi Contents Chapter 5. Symmetry and group theory 155 18 Planar isometries 155 19 Basic group theory 158 20 Reflections on the plane 168 21 The isometry group of the plane 187 Chapter 6. Symmetry in the plane 194 22 Discrete groups 194 23 The circular groups 203 24 The frieze groups 210 25 The wallpaper groups 219 Chapter 7. Symmetry in space 241 26 Space isometries 241 27 Discrete space groups 246 28 The layer groups 250 29 The rod groups 259 Chapter 8. Symmetry and enumeration 266 30 A combinatorial approach to symmetry 266 31 Graph symmetry 274 32 Enumeration 281 33 Fundamental architectural arrangements revisited 292 Bibliography Index of symbols Index 300 302 303
|
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| author | Baglivo, Jenny A. Graver, Jack E. 1935- |
| author_GND | (DE-588)172117437 |
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| callnumber-first | N - Fine Arts |
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| callnumber-raw | NA2750 |
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| callnumber-subject | NA - Architecture |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)7948055 (DE-599)BVBBV000086467 |
| dewey-full | 511/.5/02472 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.5/02472 |
| dewey-search | 511/.5/02472 |
| dewey-sort | 3511 15 42472 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV000086467 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:08:22Z |
| institution | BVB |
| isbn | 0521230438 0521297842 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000041265 |
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| physical | XI, 306 S. graph. Darst. |
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| publishDate | 1983 |
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| publisher | Cambridge Univ. Pr. |
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| series | Cambridge urban and architectural studies |
| series2 | Cambridge urban and architectural studies |
| spelling | Baglivo, Jenny A. Verfasser aut Incidence and symmetry in design and architecture Jenny A. Baglivo and Jack E. Graver 1. publ. Cambridge u.a. Cambridge Univ. Pr. 1983 XI, 306 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Cambridge urban and architectural studies 7 Architecture - Composition, proportions, etc Design architectural Graphes, Théorie des Transformations, Groupes de Architektur Architectural design Graph theory Transformation groups Architektur (DE-588)4002851-3 gnd rswk-swf Transformationsgruppe (DE-588)4127386-2 gnd rswk-swf Graphentheorie (DE-588)4113782-6 gnd rswk-swf Architektur (DE-588)4002851-3 s Graphentheorie (DE-588)4113782-6 s DE-604 Transformationsgruppe (DE-588)4127386-2 s Graver, Jack E. 1935- Verfasser (DE-588)172117437 aut Cambridge urban and architectural studies 7 (DE-604)BV000004606 7 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000041265&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Baglivo, Jenny A. Graver, Jack E. 1935- Incidence and symmetry in design and architecture Cambridge urban and architectural studies Architecture - Composition, proportions, etc Design architectural Graphes, Théorie des Transformations, Groupes de Architektur Architectural design Graph theory Transformation groups Architektur (DE-588)4002851-3 gnd Transformationsgruppe (DE-588)4127386-2 gnd Graphentheorie (DE-588)4113782-6 gnd |
| subject_GND | (DE-588)4002851-3 (DE-588)4127386-2 (DE-588)4113782-6 |
| title | Incidence and symmetry in design and architecture |
| title_auth | Incidence and symmetry in design and architecture |
| title_exact_search | Incidence and symmetry in design and architecture |
| title_full | Incidence and symmetry in design and architecture Jenny A. Baglivo and Jack E. Graver |
| title_fullStr | Incidence and symmetry in design and architecture Jenny A. Baglivo and Jack E. Graver |
| title_full_unstemmed | Incidence and symmetry in design and architecture Jenny A. Baglivo and Jack E. Graver |
| title_short | Incidence and symmetry in design and architecture |
| title_sort | incidence and symmetry in design and architecture |
| topic | Architecture - Composition, proportions, etc Design architectural Graphes, Théorie des Transformations, Groupes de Architektur Architectural design Graph theory Transformation groups Architektur (DE-588)4002851-3 gnd Transformationsgruppe (DE-588)4127386-2 gnd Graphentheorie (DE-588)4113782-6 gnd |
| topic_facet | Architecture - Composition, proportions, etc Design architectural Graphes, Théorie des Transformations, Groupes de Architektur Architectural design Graph theory Transformation groups Transformationsgruppe Graphentheorie |
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