Symmetric bends: how to join two lengths of cord
A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: "Is there a 'best' bend and, if so, what is it?" Mos...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1995
|
| Schriftenreihe: | K & E series on knots and everything
v. 8 |
| Schlagworte: | |
| Online-Zugang: | FHN01 URL des Erstveroeffentlichers |
| Zusammenfassung: | A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: "Is there a 'best' bend and, if so, what is it?" Most of the well-known bends happen to be symmetric - that is, the two constituent cords within the bend have the same geometric shape and size, and interrelationship with the other. Such 'symmetric bends' have great beauty, especially when the two cords bear different colours. Moreover, they have the practical advantage of being easier to tie (with less chance of error), and of probably being stronger, since neither end is the weaker. This book presents a mathematical theory of symmetric bends, together with a simple explanation of how such bends may be invented. Also discussed are the additionally symmetric 'triply symmetric' bends. Full details, including beautiful colour pictures, are given of the 'best 60' known symmetric bends, many of which were created by these methods of invention. This work will appeal to many - mathematicians as well as non-mathematicians interested in beautiful and useful knots |
| Beschreibung: | xii, 163 p. ill. (some col.) |
| ISBN: | 9789812796165 |
Internformat
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| 490 | 0 | |a K & E series on knots and everything |v v. 8 | |
| 520 | |a A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: "Is there a 'best' bend and, if so, what is it?" Most of the well-known bends happen to be symmetric - that is, the two constituent cords within the bend have the same geometric shape and size, and interrelationship with the other. Such 'symmetric bends' have great beauty, especially when the two cords bear different colours. Moreover, they have the practical advantage of being easier to tie (with less chance of error), and of probably being stronger, since neither end is the weaker. This book presents a mathematical theory of symmetric bends, together with a simple explanation of how such bends may be invented. Also discussed are the additionally symmetric 'triply symmetric' bends. Full details, including beautiful colour pictures, are given of the 'best 60' known symmetric bends, many of which were created by these methods of invention. This work will appeal to many - mathematicians as well as non-mathematicians interested in beautiful and useful knots | ||
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Datensatz im Suchindex
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| any_adam_object | |
| author | Miles, R. E. 1935- |
| author_facet | Miles, R. E. 1935- |
| author_role | aut |
| author_sort | Miles, R. E. 1935- |
| author_variant | r e m re rem |
| building | Verbundindex |
| bvnumber | BV044635763 |
| classification_rvk | SK 300 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00005200 (OCoLC)1012630606 (DE-599)BVBBV044635763 |
| dewey-full | 514.224 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514.224 |
| dewey-search | 514.224 |
| dewey-sort | 3514.224 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV044635763 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812796165 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033734 |
| oclc_num | 1012630606 |
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| owner | DE-92 |
| owner_facet | DE-92 |
| physical | xii, 163 p. ill. (some col.) |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | K & E series on knots and everything |
| spelling | Miles, R. E. 1935- Verfasser aut Symmetric bends how to join two lengths of cord Roger E. Miles Singapore World Scientific Pub. Co. c1995 xii, 163 p. ill. (some col.) txt rdacontent c rdamedia cr rdacarrier K & E series on knots and everything v. 8 A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: "Is there a 'best' bend and, if so, what is it?" Most of the well-known bends happen to be symmetric - that is, the two constituent cords within the bend have the same geometric shape and size, and interrelationship with the other. Such 'symmetric bends' have great beauty, especially when the two cords bear different colours. Moreover, they have the practical advantage of being easier to tie (with less chance of error), and of probably being stronger, since neither end is the weaker. This book presents a mathematical theory of symmetric bends, together with a simple explanation of how such bends may be invented. Also discussed are the additionally symmetric 'triply symmetric' bends. Full details, including beautiful colour pictures, are given of the 'best 60' known symmetric bends, many of which were created by these methods of invention. This work will appeal to many - mathematicians as well as non-mathematicians interested in beautiful and useful knots Knot theory Knots and splices Knotentheorie (DE-588)4164318-5 gnd rswk-swf Knotentheorie (DE-588)4164318-5 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789810221942 Erscheint auch als Druck-Ausgabe 9810221940 http://www.worldscientific.com/worldscibooks/10.1142/2686#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Miles, R. E. 1935- Symmetric bends how to join two lengths of cord 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 | Knot theory Knots and splices Knotentheorie (DE-588)4164318-5 gnd |
| topic_facet | Knot theory Knots and splices Knotentheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2686#t=toc |
| work_keys_str_mv | AT milesre symmetricbendshowtojointwolengthsofcord |