Holdings: New visual perspectives on Fibonacci numbers

New visual perspectives on Fibonacci numbers:

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Bibliographic Details
Format:	Book
Language:	English
Published:	New Jersey [u.a.] World Scientific 2002
Subjects:	Fibonacci-Folge
Online Access:	Inhaltsverzeichnis
Item Description:	Includes bibliographical references and index
Physical Description:	xvi, 313 p. ill. : 23 cm
ISBN:	9812381341 9812381147

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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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isbn	9812381341 9812381147
language	English
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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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