Symmetry in chaos: a search for pattern in mathematics, art and nature
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
1995
|
| Ausgabe: | 1. publ. in paperback (with corr.) |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverz. S. [216] |
| Beschreibung: | XII, 218 S. überw. Ill., graph. Darst. |
| ISBN: | 0198536887 |
Internformat
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| 245 | 1 | 0 | |a Symmetry in chaos |b a search for pattern in mathematics, art and nature |c Michael Field and Martin Golubitsky |
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Datensatz im Suchindex
| _version_ | 1804125590062628864 |
|---|---|
| adam_text | SYMMETRY IN CHAOS A SEARCH JOR PATTERN IN MATHEMATICS, ART AND NATURE
MICHAEL FIELD AND MARTIN GOLUBITSKY OXFORD NEW YORK TOKYO OXFORD
UNIVERSITY PRESS CON TEN TS 1 INTRODUCTION TO SYMMETRY AND CHAOS 1 *
SYMMETRY 3 * CHAOS 10* DETERMINISM 10 * SENSITIVE DEPENDENCE 13 * RULES
14 * PIXEL RULES 17 * COLORING BY NUMBER 19 * ARITHMETIC RULES 21 *
STRANGE ATTRACTORS 23 * STATISTICS 26 * SYMMETRY ON AVERAGE 27 * WHAT,
HOW AND WHY? 30 * PATTERNS AND TURBULENCE 33 * THE COUETTE-TAYLOR
EXPERIMENT 35 * SOME FURTHER SPECULATION 37 2 PLANAR SYMMETRIES 41 *
TYPES OF SYMMETRIC PICTURES 44 * GROUPS 45 * SYMMETRIES OF REGULAR
FIGURES 45 * TILINGS AND WALLPAPER PATTERNS 53 * THE WALLPAPER GROUPS 55
* COLORING AND INTERLACING 59 3 PATTERNS EVERYWHERE 6I * ICONS WITH
PENTAGONAL SYMMETRY 65 * ICONS WITH DIFFERENT SYMMETRIES 72 * TILINGS 82
* ISLAMIC ART 93 4 CHAOS AND SYMMETRY CREATION 97 * THE LOGISTIC MAP 100
* THE PERIOD-DOUBLING CASCADE 104 * SYMMETRIC MAPS ON THE LINE 108 *
SYMMETRY CREATION 110* CHAOTIC TRAINS 112 5 SYMMETRIC ICONS US *
MAPPINGS WITH DIHEDRAL SYMMETRY 117 X V AN ILLUSTRATION OF CHAOS 118 *
NUMEROLOGY 122 * GEOMETRY OF THE COMPLEX NUMBERS 130 * DIHEDRAL SYMMETRY
134 * THE DIHEDRAL LOGISTIC MAPPINGS 134 * SYMMETRY CREATION IN THE
PLANE 141 6 QUILTS 145 * REPEATING PATTERNS 147 * THE SQUARE LATTICE 148
* SEAMS 150 * INTERNAL SYMMETRY 151 * THE HEXAGONAL LATTICE 152 * LESS
INTERNAL SYMMETRY 156 XII SYMMETRYINCHAOS 7 SYMMETRIC FRACTALS 157 *
FRACTALS 159 * THE SIERPINSKI TRIANGLE 160 * PROBABILITY AND RANDOM
NUMBERS 161 * PROBABILITY ONE 163 * SIERPINSKI POLYGONS 165 * AFFINE
LINEAR MAPS 168 * CONTRACTIONS 169 * ITERATED FUNCTION SYSTEMS AND
FRACTALS 169 * STRICT FRACTALS AND OVERLAID FRACTALS 171 * TWO BASIC
THEOREMS 172 * THE SIERPINSKI SQUARE 176 * SYMMETRIC FRACTALS 178 * THE
SIERPINSKI TRIANGLE IS SYMMETRIC 183 * STRUCTURE ON ALL SCALES 186 *
MORE EXAMPLES 187 APPENDIX A PICTURE PARAMETERS 193 APPENDIX B BASIC
PROGRAMS 197 APPENDIX C ICON MAPPINGS 204 APPENDIX D PLANAR LATTICES 207
BIBLIOGRAPHY 216 INDEX 217 FIGURE ACKNOWLEDGEMENTS 218
|
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| discipline | Physik Informatik Mathematik Wirtschaftswissenschaften |
| edition | 1. publ. in paperback (with corr.) |
| format | Book |
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| indexdate | 2024-07-09T18:03:58Z |
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| language | English |
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| physical | XII, 218 S. überw. Ill., graph. Darst. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Oxford Univ. Press |
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| spelling | Symmetry in chaos a search for pattern in mathematics, art and nature Michael Field and Martin Golubitsky 1. publ. in paperback (with corr.) Oxford [u.a.] Oxford Univ. Press 1995 XII, 218 S. überw. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. [216] Chaos (théorie des systèmes) ram Symétrie ram Chaotic behavior in systems Symmetry Muster Struktur (DE-588)4768168-8 gnd rswk-swf Attraktor (DE-588)4140563-8 gnd rswk-swf Symmetrie (DE-588)4058724-1 gnd rswk-swf Chaostheorie (DE-588)4009754-7 gnd rswk-swf Chaos (DE-588)4191419-3 gnd rswk-swf Symmetrie (DE-588)4058724-1 s Chaos (DE-588)4191419-3 s DE-604 Chaostheorie (DE-588)4009754-7 s Attraktor (DE-588)4140563-8 s Muster Struktur (DE-588)4768168-8 s 1\p DE-604 2\p DE-604 Field, Michael Sonstige oth Golubitsky, Martin 1945- Sonstige (DE-588)10805621X oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007436234&sequence=000001&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 | Symmetry in chaos a search for pattern in mathematics, art and nature Chaos (théorie des systèmes) ram Symétrie ram Chaotic behavior in systems Symmetry Muster Struktur (DE-588)4768168-8 gnd Attraktor (DE-588)4140563-8 gnd Symmetrie (DE-588)4058724-1 gnd Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd |
| subject_GND | (DE-588)4768168-8 (DE-588)4140563-8 (DE-588)4058724-1 (DE-588)4009754-7 (DE-588)4191419-3 |
| title | Symmetry in chaos a search for pattern in mathematics, art and nature |
| title_auth | Symmetry in chaos a search for pattern in mathematics, art and nature |
| title_exact_search | Symmetry in chaos a search for pattern in mathematics, art and nature |
| title_full | Symmetry in chaos a search for pattern in mathematics, art and nature Michael Field and Martin Golubitsky |
| title_fullStr | Symmetry in chaos a search for pattern in mathematics, art and nature Michael Field and Martin Golubitsky |
| title_full_unstemmed | Symmetry in chaos a search for pattern in mathematics, art and nature Michael Field and Martin Golubitsky |
| title_short | Symmetry in chaos |
| title_sort | symmetry in chaos a search for pattern in mathematics art and nature |
| title_sub | a search for pattern in mathematics, art and nature |
| topic | Chaos (théorie des systèmes) ram Symétrie ram Chaotic behavior in systems Symmetry Muster Struktur (DE-588)4768168-8 gnd Attraktor (DE-588)4140563-8 gnd Symmetrie (DE-588)4058724-1 gnd Chaostheorie (DE-588)4009754-7 gnd Chaos (DE-588)4191419-3 gnd |
| topic_facet | Chaos (théorie des systèmes) Symétrie Chaotic behavior in systems Symmetry Muster Struktur Attraktor Symmetrie Chaostheorie Chaos |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007436234&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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