New visual perspectives on Fibonacci numbers:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
New Jersey [u.a.]
World Scientific
2002
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xvi, 313 p. ill. : 23 cm |
| ISBN: | 9812381341 9812381147 |
Internformat
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Datensatz im Suchindex
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| adam_text | NEW VISUAL PERSPECTIVES ON FIBONACCI NUMBERS K T ATANASSOV BULGARIAN
ACADEMY OF SCIENCES, BULGARIA V ATANASSOVA UNIVERSITY OF SOFIA, BULGARIA
A G SHANNON WARRANE COLLEGE, UNIVERSITY OF NEW SOUTH WALES, AUSTRALIA J
C TURNER UNIVERSITY OF WAIKATO, NEW ZEALAND VFOE WORLD SCIENTIFIC WL
NEWJERSEY LONDON* SINQAPORE» NEW JERSEY LONDON »SINGAPORE * HONGKONG
CONTENTS INTRODUCTION V FOREWORD VII PREFACE XI PART A. NUMBER THEORETIC
PERSPECTIVES SECTION 1. COUPLED RECURRENCE RELATIONS 1. INTRODUCTORY
REMARKS BY THE FIRST AUTHOR 3 2. THE 2-FIBONACCI SEQUENCES 7 3.
EXTENSIONS OF THE CONCEPTS OF 2-FIBONACCI SEQUENCES 29 4. OTHER IDEAS
FOR MODIFICATION OF THE FIBONACCI SEQUENCE 39 BIBLIOGRAPHY 47 SECTION 2.
NUMBER TREES 1. INTRODUCTION - TURNER S NUMBER TREES 53 2.
GENERALIZATIONS USING TABLEAUX 57 3. ON GRAY CODES AND COUPLED
RECURRENCE TREES 63 4. STUDIES OF NODE SUMS ON NUMBER TREES 71 5.
CONNECTIONS WITH PASCAL-T TRIANGLES 75 BIBLIOGRAPHY 81 XV XVI CONTENTS
PART B. GEOMETRIC PERSPECTIVES SECTION 1. FIBONACCI VECTOR GEOMETRY 1.
INTRODUCTION AND ELEMENTARY RESULTS 85 2. VECTOR SEQUENCES FROM LINEAR
RECURRENCES 95 3. THE FIBONACCI HONEYCOMB PLANE 107 4. FIBONACCI AND
LUCAS VECTOR POLYGONS 119 5. TRIGONOMETRY IN THE HONEYCOMB PLANE 123 6.
VECTOR SEQUENCES GENERATED IN PLANES 137 7. FIBONACCI TRACKS, GROUPS,
AND PLUS-MINUS SEQUENCES 153 BIBLIOGRAPHY 177 SECTION 2. GOLDPOINT
GEOMETRY 1. ON GOLDPOINTS AND GOLDEN-MEAN CONSTRUCTIONS 183 2. THE
GOLDPOINT RINGS OF A LINE-SEGMENT 205 3. SOME FRACTALS IN GOLDPOINT
GEOMETRY 215 4. TRIANGLES AND SQUARES MARKED WITH GOLDPOINTS 229 5.
PLANE TESSELLATIONS WITH GOLDPOINT TRIANGLES 245 6. TESSELLATIONS WITH
GOLDPOINT SQUARES 269 7. GAMES WITH GOLDPOINT TILES 293 BIBLIOGRAPHY 307
INDEX 309
|
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| discipline | Mathematik |
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| id | DE-604.BV017121342 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T19:13:56Z |
| institution | BVB |
| isbn | 9812381341 9812381147 |
| language | English |
| lccn | 2003266560 |
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| physical | xvi, 313 p. ill. : 23 cm |
| publishDate | 2002 |
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| publisher | World Scientific |
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| spelling | New visual perspectives on Fibonacci numbers K.T. Atanassov ... New Jersey [u.a.] World Scientific 2002 xvi, 313 p. ill. : 23 cm txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Fibonacci-Folge (DE-588)4249138-1 gnd rswk-swf Fibonacci-Folge (DE-588)4249138-1 s DE-604 Atanasov, Krasimir T. 1954- Sonstige (DE-588)121283259 oth GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010321755&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | New visual perspectives on Fibonacci numbers Fibonacci-Folge (DE-588)4249138-1 gnd |
| subject_GND | (DE-588)4249138-1 |
| title | New visual perspectives on Fibonacci numbers |
| title_auth | New visual perspectives on Fibonacci numbers |
| title_exact_search | New visual perspectives on Fibonacci numbers |
| title_full | New visual perspectives on Fibonacci numbers K.T. Atanassov ... |
| title_fullStr | New visual perspectives on Fibonacci numbers K.T. Atanassov ... |
| title_full_unstemmed | New visual perspectives on Fibonacci numbers K.T. Atanassov ... |
| title_short | New visual perspectives on Fibonacci numbers |
| title_sort | new visual perspectives on fibonacci numbers |
| topic | Fibonacci-Folge (DE-588)4249138-1 gnd |
| topic_facet | Fibonacci-Folge |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010321755&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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