Symmetric bends: how to join two lengths of cord
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific
1995
|
| Series: | Series on knots and everything
8 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XII, 163 S. |
| ISBN: | 9810221940 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Table of Contents
Preface vii
Chapter 1. INTRODUCTION k SUMMARY
1.1 Introduction 1
1.2 Summary 6
Chapter 2. SUFFICIENCY : THE ELEMENTARY SYMMETRIC BENDS
2.1 The Elementary and Other Well known Symmetric Bends 9
2.2 Three Classes of Symmetric Diagrams 14
Chapter 3. NECESSITY : GEOMETRY k PLANAR REPRESENTATIONS
3.1 Necessity : Geometrical Theory of Symmetric Bends and their Aspects 17
3.2 Planar Representations of Symmetric Bends 23
3.3 a and /3 Square Lattice Diagrams for Symmetric Bends 26
Chapter 4. TOPOLOGICAL CONSIDERATIONS AND A THEOREM
4.1 Mirror Image, Colour Interchange and Reverse 29
4.2 Topological Considerations 30
4.3 The CHAMELEON 35
4.4 The Marginal Knots of a Symmetric Bend 38
4.5 Reverse and Mixed Bends, and a Theorem Relating their Symmetries 42
Chapter 5. PRACTICAL CONSIDERATIONS TRIPLE SYMMETRY
5.1 7 Diagrams for © Symmetric Bends 49
5.2 Additional Symmetry: (f,a), (7,/?) and (7,7) Diagrams 52
5.3 Practical Reverse Invariance 60
5.4 Triple Symmetry: the Geometry of |RI+|© Symmetric Bends 61
5.5 Single Colour Symmetric Bends 64
xi
xii Contents
Chapter 6. (60): SIXTY SYMMETRIC BENDS
6.1 Introduction 67
6.2 Diagrams of the (60) 76
6.3 Colour Plates of the (60) 99
6.4 Notes on the (60) 117
6.5 Two Conjectures 133
Chapter 7. MISCELLANY
7.1 Loops, Knots and Links 135
7.2 A Remarkable Almost Symmetric Bend, and Some Related Hitches 137
Chapter 8. HOW TO INVENT SYMMETRIC BENDS
8.1 Diagram Invention 143
8.2 An a or /?, a 7 and a (7,/?) Outline 148
8.3 Alternative ad hoc Method 152
Appendix. The International Guild of Knot Tyers 157
Bibliography 159
Index 161
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
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| dewey-raw | 514/.224 |
| dewey-search | 514/.224 |
| dewey-sort | 3514 3224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV013497179 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:46:51Z |
| institution | BVB |
| isbn | 9810221940 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009212914 |
| oclc_num | 34271987 |
| open_access_boolean | |
| owner | DE-19 DE-BY-UBM |
| owner_facet | DE-19 DE-BY-UBM |
| physical | XII, 163 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific |
| record_format | marc |
| series | Series on knots and everything |
| series2 | Series on knots and everything |
| spelling | Miles, Roger E. Verfasser aut Symmetric bends how to join two lengths of cord Roger E. Miles Singapore [u.a.] World Scientific 1995 XII, 163 S. txt rdacontent n rdamedia nc rdacarrier Series on knots and everything 8 Noeuds, Théorie des ram Simetria larpcal Knot theory Knots and splices Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s DE-604 Series on knots and everything 8 (DE-604)BV004608347 8 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009212914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Miles, Roger E. Symmetric bends how to join two lengths of cord Series on knots and everything Noeuds, Théorie des ram Simetria larpcal Knot theory Knots and splices Knotentheorie (DE-588)4164318-5 gnd |
| subject_GND | (DE-588)4164318-5 |
| title | Symmetric bends how to join two lengths of cord |
| title_auth | Symmetric bends how to join two lengths of cord |
| title_exact_search | Symmetric bends how to join two lengths of cord |
| title_full | Symmetric bends how to join two lengths of cord Roger E. Miles |
| title_fullStr | Symmetric bends how to join two lengths of cord Roger E. Miles |
| title_full_unstemmed | Symmetric bends how to join two lengths of cord Roger E. Miles |
| title_short | Symmetric bends |
| title_sort | symmetric bends how to join two lengths of cord |
| title_sub | how to join two lengths of cord |
| topic | Noeuds, Théorie des ram Simetria larpcal Knot theory Knots and splices Knotentheorie (DE-588)4164318-5 gnd |
| topic_facet | Noeuds, Théorie des Simetria Knot theory Knots and splices Knotentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009212914&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV004608347 |
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