MARC details
| 000 -LEADER |
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| fixed length control field |
03585cam a22003974a 4500 |
| 001 - CONTROL NUMBER |
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| control field |
2010010230 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
DLC |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20250203135600.0 |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
100309s2010 nyua b 001 0 eng |
| 010 ## - LIBRARY OF CONGRESS CONTROL NUMBER |
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| LC control number |
2010010230 |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780521764100 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0521764106 (hardback) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
9780521128216 (pbk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
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| International Standard Book Number |
0521128218 (pbk.) |
| 035 ## - SYSTEM CONTROL NUMBER |
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| System control number |
(OCoLC)ocn564132786 |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
DLC |
| Transcribing agency |
DLC |
| Modifying agency |
YDX |
| -- |
YDXCP |
| -- |
BWK |
| -- |
CDX |
| -- |
BWX |
| -- |
DLC |
| 042 ## - AUTHENTICATION CODE |
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| Authentication code |
pcc |
| 049 ## - LOCAL HOLDINGS (OCLC) |
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| Holding library |
EY8Z |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA36 |
| Item number |
.H53 2010 |
| 082 00 - DEWEY DECIMAL CLASSIFICATION NUMBER |
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| Classification number |
510 |
| Edition number |
22 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Hilton, Peter John. |
| 245 12 - TITLE STATEMENT |
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| Title |
A mathematical tapestry : |
| Remainder of title |
demonstrating the beautiful unity of mathematics / |
| Statement of responsibility, etc. |
Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer. |
| 260 ## - PUBLICATION, DISTRIBUTION, ETC. |
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| Place of publication, distribution, etc. |
New York : |
| Name of publisher, distributor, etc. |
Cambridge University Press, |
| Date of publication, distribution, etc. |
2010. |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
xv, 290 p. : |
| Other physical details |
ill. ; |
| Dimensions |
25 cm. |
| 520 ## - SUMMARY, ETC. |
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| Summary, etc. |
"This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with any number of sides. This remarkable algorithm has led to interesting proofs of certain results in number theory, has been used to answer combinatorial questions involving partitions of space, and has enabled the authors to obtain the formula for the volume of a regular tetrahedron in around three steps, using nothing more complicated than basic arithmetic and the most elementary plane geometry. All of these ideas, and more, reveal the beauty of mathematics and the interconnectedness of its various branches. Detailed instructions, including clear illustrations, enable the reader to gain hands-on experience constructing these models and to discover for themselves the patterns and relationships they unearth"-- |
| Assigning source |
Provided by publisher. |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE |
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| Bibliography, etc. note |
Includes bibliographical references and index. |
| 505 8# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
Machine generated contents note: Preface; 1. Flexagons - a beginning thread; 2. Another thread - 1-period paper folding; 3. More paper folding threads - 2-period paper-folding; 4. A number-theory thread - folding numbers, a number trick, and some titbits; 5. The polyhedron thread - building some polyhedra and defining a regular polyhedron; 6. Constructing dipyramids and rotating rings from straight strips of triangles; 7. Continuing the paper-folding and number theory threads; 8. A geometry and algebra thread - constructing, and using, Jennifer's puzzle; 9. A polyhedral geometry thread - constructing braided platonic solids and other woven polyhedra; 10. Combinatorial and symmetry threads; 11. Some golden threads - constructing more dodecahedra; 12. More combinatorial threads - collapsoids; 13. Group theory - the faces of the tri-hexaflexagon; 14. Combinatorial and group theory threads - extended face planes of the platonic solids; 15. A historical thread - involving the Euler characteristic, Descartes' total angular defect, and PoÌlya's dream; 16. Tying some loose ends together - symmetry, group theory, homologues, and the PoÌlya enumeration theorem; 17. Returning to the number theory thread - generalized quasi-order and coach theorems; References; Index. |
| 596 ## - |
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| -- |
1 |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics. |
| 9 (RLIN) |
2885 |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Pedersen, Jean. |
| 700 1# - ADDED ENTRY--PERSONAL NAME |
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| Personal name |
Donmoyer, Sylvie. |
| 856 42 - ELECTRONIC LOCATION AND ACCESS |
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| Materials specified |
Cover image |
| Uniform Resource Identifier |
<a href="http://assets.cambridge.org/97805217/64100/cover/9780521764100.jpg">http://assets.cambridge.org/97805217/64100/cover/9780521764100.jpg</a> |
| 948 ## - LOCAL PROCESSING INFORMATION (OCLC); SERIES PART DESIGNATOR (RLIN) |
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| Series part designator, SPT (RLIN) |
u330318 |
| 949 ## - LOCAL PROCESSING INFORMATION (OCLC) |
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| a |
QA36 .H53 2010 |
| w |
LC |
| c |
1 |
| h |
EY8Z |
| i |
33039001177251 |
| 903 ## - LOCAL DATA ELEMENT C, LDC (RLIN) |
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| a |
20196 |