Serious Fun with Flexagons

Lieferzeit: Lieferbar innerhalb 14 Tagen

106,99 

A Compendium and Guide, Solid Mechanics and Its Applications 1569, Solid Mechanics and Its Applications 164

ISBN: 9048125022
ISBN 13: 9789048125029
Autor: Pook, L P
Verlag: Springer Verlag GmbH
Umfang: xvi, 330 S.
Erscheinungsdatum: 27.08.2009
Auflage: 1/2009
Produktform: Gebunden/Hardback
Einband: GEB

Inhaltsangabe1 Introduction; 1.1 General Features; 1.2 Terminology; 1.3 Outline of Book; 1.4 Making Flexagons; 1.4.1 General Assembly Instructions; 1.4.2 The Two Sector First Order Fundamental Square Even Edge Flexagon; 2 Polygon Rings; 2.1 Introduction; 2.1.1 Multiple Polygons; 2.1.2 Combinations; 2.2 Edge Rings of Regular Polygons; 2.2.1 General Properties; 2.2.2 Regular Even Edge Rings; 2.2.3 Regular Odd Edge Rings; 2.2.4 Compound Edge Rings; 2.2.5 Irregular Edge Rings; 2.3 Edge Rings of Irregular Polygons; 2.3.1 General Properties; 2.3.2 Even Edge Rings of Silver and Bronze Triangles; 2.4 Vertex Rings; 2.4.1 General Properties; 2.4.2 Vertex Rings of Squares; 3 Fundamental Nets; 3.1 Introduction; 3.2 First Order Fundamental Edge Nets; 3.3 Second Order Fundamental Edge Nets; 3.4 Fundamental Vertex Nets; 3.5 Fundamental Silver and Bronze Edge Nets; 4 Fundamental Edge Flexagons; 4.1 Introduction; 4.1.1 Standard Face Numbering Sequences; 4.1.2 Truncated Flexagons; 4.2 First Order Fundamental Even Edge Flexagons; 4.2.1 General Properties; 4.2.2 Ring Even Edge Flexagons; 4.2.3 First Order Fundamental Triangle Even Edge Flexagons; 4.2.4 First Order Fundamental Square Even Edge Flexagons; 4.2.5 Detailed Analysis of Flexagons; 4.2.6 First Order Fundamental Pentagon Even Edge Flexagons; 4.2.7 First Order Fundamental Hexagon Even Edge Flexagons; 4.2.8 First Order Fundamental Octagon Even Edge Flexagons; 4.2.9 First Order Fundamental Dodecagon Even Edge Flexagons; 4.3 Second Order Fundamental Odd Edge Flexagons; 4.3.1 General Properties; 4.3.2 Second Order Fundamental Triangle Odd Edge Flexagons; 4.3.3 A Second Order Fundamental Square Odd Edge Flexagon; 4.3.4 A Second Order Fundamental 20-gon Odd Edge Flexagon; 5 Fundamental Skeletal and Point Flexagons; 5.1 Introduction; 5.2 First Order Fundamental Even Skeletal Flexagons; 5.2.1 General Properties; 5.2.2 First Order Fundamental Triangle Even Skeletal Flexagons; 5.2.3 A First Order Fundamental Square Even Skeletal Flexagon; 5.3Fundamental Point Flexagons; 5.3.1 General Properties and Unagons; 5.3.2 The Fundamental Triangle Point Flexagon; 5.3.3 The Fundamental Square Point Flexagon; 5.3.4 Fundamental Pentagon Point Flexagons; 5.3.5 The Fundamental Hexagon Point Flexagon; 5.4 Interleaved Fundamental Point Flexagons; 5.4.1 General Properties; 5.4.2 The Interleaved Fundamental Pentagon Point Flexagon; 5.4.3 An Interleaved Fundamental Enneagon Point Flexagon.; 5.5 Augmented Fundamental Point Flexagons; 5.5.1 General Properties; 5.5.2 An Augmented Fundamental Triangle Point Flexagon; 5.5.3 An Augmented Fundamental Square Point Flexagon; 5.6 Augmented Interleaved Fundamental Point Flexagons; 5.6.1 General Properties; 5.6.2 Augmented Interleaved Fundamental Triangle Point Flexagons; 5.6.3 An Augmented Interleaved Fundamental Square Point Flexagon; 6 Fundamental Compound Edge Flexagons; 6.1 Introduction; 6.2 General Properties; 6.3 Triangular Fundamental Compound Edge Flexagons; 6.3.1 Some Properties; 6.3.2 A Fundamental Square Compound Edge Flexagon; 6.3.3 A Fundamental Pentagon Compound Edge Flexagon; 6.4 A Square-Like Fundamental Compound Edge Flexagon; 6.4.1 Some Properties; 6.4.2 A fundamental hexagon compound edge flexagon; 6.5 Pentagonal Fundamental Compound Edge Flexagons; 6.5.1 Some Properties; 6.5.2 A Fundamental Square Compound Edge Flexagon; 6.5.3 A Fundamental Hexagon Compound Edge Flexagon; 6.6 A Hexagonal Fundamental Compound Edge Flexagon; 6.6.1 Some Properties; 6.6.2 A Fundamental Octagon Compound Edge Flexagon; 6.7 Heptagonal Fundamental Compound Edge Flexagons; 6.7.1 Some Properties; 6.7.2 A Fundamental Hexagon Compound Edge Flexagon; 6.7.3 A Fundamental Decagon Compound Edge Flexagon; 7 Irregular Cycle Flexagons; 7.1 Introduction; 7.2 Irregular Cycle Even Edge Flexagons; 7.2.1 General Properties; 7.2.2 Derivation of Nets; 7.2.3 The Irregular Cycle Square Even Edge Flexagon; 7.2.4 An Irregular Cycle Pentagon Even Edge Flexagon; 7.2.5 Irregular Cycle Hexagon Even Edge Flexagons

Further analysis has led to a much better understanding of the dynamic behaviour of flexagons, from a serious mathematics viewpointIncludes extensive information on the mathematical background to various types of flexagons and their relationships to each otherA geometric approach is used throughout, and the book is profusely illustratedGeometric and aesthetic aspects of flexagons can only be fully appreciated by manipulating paper models. Nets and assembly instructions for numerous flexagons are therefore includedIncludes supplementary material: sn.pub/extras

Artikelnummer: 1920514 Kategorie:

Beschreibung

Inhaltsverzeichnis

1 Introduction; 1.1 General Features; 1.2 Terminology; 1.3 Outline of Book; 1.4 Making Flexagons; 1.4.1 General Assembly Instructions; 1.4.2 The Two Sector First Order Fundamental Square Even Edge Flexagon; 2 Polygon Rings; 2.1 Introduction; 2.1.1 Multiple Polygons; 2.1.2 Combinations; 2.2 Edge Rings of Regular Polygons; 2.2.1 General Properties; 2.2.2 Regular Even Edge Rings; 2.2.3 Regular Odd Edge Rings; 2.2.4 Compound Edge Rings; 2.2.5 Irregular Edge Rings; 2.3 Edge Rings of Irregular Polygons; 2.3.1 General Properties; 2.3.2 Even Edge Rings of Silver and Bronze Triangles; 2.4 Vertex Rings; 2.4.1 General Properties; 2.4.2 Vertex Rings of Squares; 3 Fundamental Nets; 3.1 Introduction; 3.2 First Order Fundamental Edge Nets; 3.3 Second Order Fundamental Edge Nets; 3.4 Fundamental Vertex Nets; 3.5 Fundamental Silver and Bronze Edge Nets; 4 Fundamental Edge Flexagons; 4.1 Introduction; 4.1.1 Standard Face Numbering Sequences; 4.1.2 Truncated Flexagons; 4.2 First Order Fundamental Even Edge Flexagons; 4.2.1 General Properties; 4.2.2 Ring Even Edge Flexagons; 4.2.3 First Order Fundamental Triangle Even Edge Flexagons; 4.2.4 First Order Fundamental Square Even Edge Flexagons; 4.2.5 Detailed Analysis of Flexagons; 4.2.6 First Order Fundamental Pentagon Even Edge Flexagons; 4.2.7 First Order Fundamental Hexagon Even Edge Flexagons; 4.2.8 First Order Fundamental Octagon Even Edge Flexagons; 4.2.9 First Order Fundamental Dodecagon Even Edge Flexagons; 4.3 Second Order Fundamental Odd Edge Flexagons; 4.3.1 General Properties; 4.3.2 Second Order Fundamental Triangle Odd Edge Flexagons; 4.3.3 A Second Order Fundamental Square Odd Edge Flexagon; 4.3.4 A Second Order Fundamental 20-gon Odd Edge Flexagon; 5 Fundamental Skeletal and Point Flexagons; 5.1 Introduction; 5.2 First Order Fundamental Even Skeletal Flexagons; 5.2.1 General Properties; 5.2.2 First Order Fundamental Triangle Even Skeletal Flexagons; 5.2.3 A First Order Fundamental Square Even Skeletal Flexagon; 5.3 Fundamental Point Flexagons; 5.3.1 General Properties and Unagons; 5.3.2 The Fundamental Triangle Point Flexagon; 5.3.3 The Fundamental Square Point Flexagon; 5.3.4 Fundamental Pentagon Point Flexagons; 5.3.5 The Fundamental Hexagon Point Flexagon; 5.4 Interleaved Fundamental Point Flexagons; 5.4.1 General Properties; 5.4.2 The Interleaved Fundamental Pentagon Point Flexagon; 5.4.3 An Interleaved Fundamental Enneagon Point Flexagon.; 5.5 Augmented Fundamental Point Flexagons; 5.5.1 General Properties; 5.5.2 An Augmented Fundamental Triangle Point Flexagon; 5.5.3 An Augmented Fundamental Square Point Flexagon; 5.6 Augmented Interleaved Fundamental Point Flexagons; 5.6.1 General Properties; 5.6.2 Augmented Interleaved Fundamental Triangle Point Flexagons; 5.6.3 An Augmented Interleaved Fundamental Square Point Flexagon; 6 Fundamental Compound Edge Flexagons; 6.1 Introduction; 6.2 General Properties; 6.3 Triangular Fundamental Compound Edge Flexagons; 6.3.1 Some Properties; 6.3.2 A Fundamental Square Compound Edge Flexagon; 6.3.3 A Fundamental Pentagon Compound Edge Flexagon; 6.4 A Square-Like Fundamental Compound Edge Flexagon; 6.4.1 Some Properties; 6.4.2 A fundamental hexagon compound edge flexagon; 6.5 Pentagonal Fundamental Compound Edge Flexagons; 6.5.1 Some Properties; 6.5.2 A Fundamental Square Compound Edge Flexagon; 6.5.3 A Fundamental Hexagon Compound Edge Flexagon; 6.6 A Hexagonal Fundamental Compound Edge Flexagon; 6.6.1 Some Properties; 6.6.2 A Fundamental Octagon Compound Edge Flexagon; 6.7 Heptagonal Fundamental Compound Edge Flexagons; 6.7.1 Some Properties; 6.7.2 A Fundamental Hexagon Compound Edge Flexagon; 6.7.3 A Fundamental Decagon Compound Edge Flexagon; 7 Irregular Cycle Flexagons; 7.1 Introduction; 7.2 Irregular Cycle Even Edge Flexagons; 7.2.1 General Properties; 7.2.2 Derivation of Nets; 7.2.3 The Irregular Cycle Square Even Edge Flexagon; 7.2.4 An Irregular Cycle Pentagon Even Edge Flexagon; 7.2.5 Irregular Cycle Hexagon Even Edge Flex ...

Autorenporträt

Since my formal retirement in 1998 I have been a Visiting Professor in the Department of Mechanical Engineering at University College London, where I do some part time teaching in the fields of metal fatigue and fracture mechanics. I am a senior official of the European Structural Integrity Society, and have been involved with the organisation of two of their conferences (FCP 2003 and CP 2006), including editing conference proceedings and associated special issues of journals.

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