Coverart for item
The Resource A mathematical tapestry : demonstrating the beautiful unity of mathematics, Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer

A mathematical tapestry : demonstrating the beautiful unity of mathematics, Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer

Label
A mathematical tapestry : demonstrating the beautiful unity of mathematics
Title
A mathematical tapestry
Title remainder
demonstrating the beautiful unity of mathematics
Statement of responsibility
Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer
Creator
Contributor
Subject
Language
eng
Summary
"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
Cataloging source
DLC
http://library.link/vocab/creatorName
Hilton, Peter John
Dewey number
510
Illustrations
illustrations
Index
index present
LC call number
QA36
LC item number
.H53 2010
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorName
  • Pedersen, Jean
  • Donmoyer, Sylvie
http://library.link/vocab/subjectName
Mathematics
Label
A mathematical tapestry : demonstrating the beautiful unity of mathematics, Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer
Link
http://assets.cambridge.org/97805217/64100/cover/9780521764100.jpg
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems
Control code
ocn564132786
Dimensions
25 cm.
Extent
xv, 290 p.
Isbn
9780521764100
Isbn Type
(hardback)
Lccn
2010010230
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
ill.
System control number
  • (Sirsi) i9780521764100
  • (OCoLC)564132786
Label
A mathematical tapestry : demonstrating the beautiful unity of mathematics, Peter Hilton, Jean Pedersen ; with illustrations by Sylvie Donmoyer
Link
http://assets.cambridge.org/97805217/64100/cover/9780521764100.jpg
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
volume
Carrier category code
nc
Carrier MARC source
rdacarrier
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Flexagons : a beginning thread -- Another thread : 1-period paper folding -- More paper folding threads : 2-period paper-folding -- A number-theory thread : folding numbers, a number trick, and some titbits -- The polyhedron thread : building some polyhedra and defining a regular polyhedron -- Constructing dipyramids and rotating rings from straight strips of triangles -- Continuing the paper-folding and number-theory threads -- A geometry and algebra thread : constructing, and using, Jennifer's puzzle -- A polyhedral geometry thread : constructing braided Platonic solids and other woven polyhedra -- Combinatorial and symmetry threads -- Some golden threads : constructing more dodecahedra -- More combinatorial threads : collapsoids -- Group theory : the faces of the trihexaflexagon -- Combinatorial and group-theoretical threads : extended face planes of the Platonic solids -- A historical thread : involving the Euler characteristic, Descartes' total angular defect, and Pólya's dream -- Tying some loose ends together : symmetry, group theory, homologues, and the Pólya enumeration theorem -- Returning to the number-theory thread : generalized quasi-order and coach theorems
Control code
ocn564132786
Dimensions
25 cm.
Extent
xv, 290 p.
Isbn
9780521764100
Isbn Type
(hardback)
Lccn
2010010230
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
ill.
System control number
  • (Sirsi) i9780521764100
  • (OCoLC)564132786

Library Locations

    • CLEVELAND/Main LibraryBorrow it
      325 Superior Ave., N.E., Cleveland, OH, 44114, US
      41.501174 -81.69177499999999
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