Models of the real projective plane: computer graphics of Steiner and Boy surfaces
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Braunschweig u.a.
Vieweg
1987
|
| Schriftenreihe: | Computer graphics and mathematical models
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Mit 46 fig. u. 64 color plates |
| Beschreibung: | XI, 156 S. Ill., graph. Darst. |
| ISBN: | 3528089555 |
Internformat
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| 300 | |a XI, 156 S. |b Ill., graph. Darst. | ||
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| 337 | |b n |2 rdamedia | ||
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Datensatz im Suchindex
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|---|---|
| adam_text | Table of Contents
Preface (by Egbert Brieskorn) V
Introduction IX
Chapter 1: Some Representations of the Real Projective Plane
before 1900 1
1.1 Closed Surfaces 1
1.2 The Real Projective Plane 13
1.3 Steiner Surfaces 31
Chapter 2: The Boy Surface 42
2.1 Embedded and Immersed Surfaces 42
2.2 Parametrization of the Boy Surface by Three Polynomials 51
2.3 How to Eliminate Whitney Umbrellas 61
2.4 A Boy Surface of Degree Six 74
Chapter 3: More about Immersions in the 3 dimensional Sphere 82
3.1 Self Transveral Immersions of the Real Projective Plane 82
3.2 Classification of Immersed Projective Planes of Boy Type 90
3.3 The Halfway Model 103
Appendix: Listing of the FORTRAN Program Used to Draw the Boy Surface
and its Deformations (by Raymond Ripp) 107
Bibliography 116
Subject Index 119
Plate Index 121
Plates 123
|
| any_adam_object | 1 |
| author | Apéry, François |
| author_GND | (DE-588)111322545 |
| author_facet | Apéry, François |
| author_role | aut |
| author_sort | Apéry, François |
| author_variant | f a fa |
| building | Verbundindex |
| bvnumber | BV001035456 |
| callnumber-first | Q - Science |
| callnumber-label | QA471 |
| callnumber-raw | QA471 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 380 |
| classification_tum | DAT 756f MAT 517f |
| ctrlnum | (OCoLC)18125541 (DE-599)BVBBV001035456 |
| dewey-full | 516.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.5 |
| dewey-search | 516.5 |
| dewey-sort | 3516.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Informatik Mathematik |
| format | Book |
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| id | DE-604.BV001035456 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T15:22:53Z |
| institution | BVB |
| isbn | 3528089555 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000626523 |
| oclc_num | 18125541 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-706 DE-188 |
| owner_facet | DE-19 DE-BY-UBM DE-91G DE-BY-TUM DE-384 DE-703 DE-739 DE-355 DE-BY-UBR DE-20 DE-824 DE-29T DE-706 DE-188 |
| physical | XI, 156 S. Ill., graph. Darst. |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Vieweg |
| record_format | marc |
| series2 | Computer graphics and mathematical models |
| spelling | Apéry, François Verfasser (DE-588)111322545 aut Models of the real projective plane computer graphics of Steiner and Boy surfaces Braunschweig u.a. Vieweg 1987 XI, 156 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Computer graphics and mathematical models Mit 46 fig. u. 64 color plates Géométrie projective Plans projectifs Geometry, Projective Projective planes Projektive Geometrie (DE-588)4047436-7 gnd rswk-swf Boy-Fläche (DE-588)4208171-3 gnd rswk-swf Steiner-Fläche (DE-588)4332777-1 gnd rswk-swf Projektive Ebene (DE-588)4175884-5 gnd rswk-swf Computergrafik (DE-588)4010450-3 gnd rswk-swf Projektive Ebene (DE-588)4175884-5 s Computergrafik (DE-588)4010450-3 s DE-604 Boy-Fläche (DE-588)4208171-3 s Steiner-Fläche (DE-588)4332777-1 s Projektive Geometrie (DE-588)4047436-7 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000626523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Apéry, François Models of the real projective plane computer graphics of Steiner and Boy surfaces Géométrie projective Plans projectifs Geometry, Projective Projective planes Projektive Geometrie (DE-588)4047436-7 gnd Boy-Fläche (DE-588)4208171-3 gnd Steiner-Fläche (DE-588)4332777-1 gnd Projektive Ebene (DE-588)4175884-5 gnd Computergrafik (DE-588)4010450-3 gnd |
| subject_GND | (DE-588)4047436-7 (DE-588)4208171-3 (DE-588)4332777-1 (DE-588)4175884-5 (DE-588)4010450-3 |
| title | Models of the real projective plane computer graphics of Steiner and Boy surfaces |
| title_auth | Models of the real projective plane computer graphics of Steiner and Boy surfaces |
| title_exact_search | Models of the real projective plane computer graphics of Steiner and Boy surfaces |
| title_full | Models of the real projective plane computer graphics of Steiner and Boy surfaces |
| title_fullStr | Models of the real projective plane computer graphics of Steiner and Boy surfaces |
| title_full_unstemmed | Models of the real projective plane computer graphics of Steiner and Boy surfaces |
| title_short | Models of the real projective plane |
| title_sort | models of the real projective plane computer graphics of steiner and boy surfaces |
| title_sub | computer graphics of Steiner and Boy surfaces |
| topic | Géométrie projective Plans projectifs Geometry, Projective Projective planes Projektive Geometrie (DE-588)4047436-7 gnd Boy-Fläche (DE-588)4208171-3 gnd Steiner-Fläche (DE-588)4332777-1 gnd Projektive Ebene (DE-588)4175884-5 gnd Computergrafik (DE-588)4010450-3 gnd |
| topic_facet | Géométrie projective Plans projectifs Geometry, Projective Projective planes Projektive Geometrie Boy-Fläche Steiner-Fläche Projektive Ebene Computergrafik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000626523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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