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The Resource Symmetry in chaos : a search for pattern in mathematics, art and nature, Michael Field and Martin Golubitsky

Symmetry in chaos : a search for pattern in mathematics, art and nature, Michael Field and Martin Golubitsky

Label
Symmetry in chaos : a search for pattern in mathematics, art and nature
Title
Symmetry in chaos
Title remainder
a search for pattern in mathematics, art and nature
Statement of responsibility
Michael Field and Martin Golubitsky
Creator
Contributor
Subject
Language
eng
Cataloging source
DLC
http://library.link/vocab/creatorName
Field, Mike
Dewey number
003/.7
Illustrations
illustrations
Index
index present
LC call number
Q172.5.S95
LC item number
F54 1992
Literary form
non fiction
Nature of contents
bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1945-
http://library.link/vocab/relatedWorkOrContributorName
Golubitsky, Martin
http://library.link/vocab/subjectName
  • Symmetry
  • Chaotic behavior in systems
Label
Symmetry in chaos : a search for pattern in mathematics, art and nature, Michael Field and Martin Golubitsky
Link
Instantiates
Publication
Bibliography note
Includes bibliographical references (page 216) 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
  • Coloring by number.
  • Arithmetic rules.
  • Strange attractors.
  • Statistics.
  • Symmetry on average.
  • What, how and why?
  • Patterns and turbulence.
  • The Couette-Taylor experiment.
  • Some further speculation
  • 2.
  • 1.
  • Planar Symmetries.
  • Types of symmetric pictures.
  • Groups.
  • Symmetries of regular figures.
  • Tilings and wallpaper patterns.
  • The wallpaper groups.
  • Coloring and interlacing
  • 3.
  • Patterns Everywhere.
  • Icons with pentagonal symmetry.
  • Introduction to Symmetry and Chaos.
  • Icons with different symmetries.
  • Tilings.
  • Islamic art
  • 4.
  • Chaos and Symmetry Creation.
  • The logistic map.
  • The period-doubling cascade.
  • Symmetric maps on the line.
  • Symmetry creation.
  • Chaotic trains
  • Symmetry.
  • 5.
  • Symmetric Icons.
  • Mappings with dihedral symmetry.
  • An illustration of chaos.
  • Numerology.
  • Geometry of the complex numbers.
  • Dihedral symmetry 134.
  • The dihedral logistic mappings.
  • Symmetry creation in the plane
  • 6.
  • Chaos.
  • Quilts.
  • Repeating patterns.
  • The square lattice.
  • Seams.
  • Internal symmetry.
  • The hexagonal lattice.
  • Less internal symmetry
  • 7.
  • Symmetric Fractals.
  • Fractals.
  • Determinism.
  • The Sierpinski triangle.
  • Probability and random numbers.
  • Probability one.
  • Sierpinski polygons.
  • Affine linear maps.
  • Contractions.
  • Iterated function systems and fractals.
  • Strict fractals and overlaid fractals.
  • Two basic theorems.
  • The Sierpinski square.
  • Sensitive dependence.
  • Symmetric fractals.
  • The Sierpinski triangle is symmetric.
  • Structure on all scales.
  • More examples
  • Appendix A Picture Parameters
  • Appendix B Basic Programs
  • Appendix C Icon Mappings
  • Appendix D Planar Lattices
  • Rules.
  • Pixel rules.
Control code
ocm25675522
Dimensions
29 cm
Extent
xii, 218 pages
Isbn
9780198536895
Lccn
92014023
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
color illustrations
System control number
(OCoLC)25675522
Label
Symmetry in chaos : a search for pattern in mathematics, art and nature, Michael Field and Martin Golubitsky
Link
Publication
Bibliography note
Includes bibliographical references (page 216) 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
  • Coloring by number.
  • Arithmetic rules.
  • Strange attractors.
  • Statistics.
  • Symmetry on average.
  • What, how and why?
  • Patterns and turbulence.
  • The Couette-Taylor experiment.
  • Some further speculation
  • 2.
  • 1.
  • Planar Symmetries.
  • Types of symmetric pictures.
  • Groups.
  • Symmetries of regular figures.
  • Tilings and wallpaper patterns.
  • The wallpaper groups.
  • Coloring and interlacing
  • 3.
  • Patterns Everywhere.
  • Icons with pentagonal symmetry.
  • Introduction to Symmetry and Chaos.
  • Icons with different symmetries.
  • Tilings.
  • Islamic art
  • 4.
  • Chaos and Symmetry Creation.
  • The logistic map.
  • The period-doubling cascade.
  • Symmetric maps on the line.
  • Symmetry creation.
  • Chaotic trains
  • Symmetry.
  • 5.
  • Symmetric Icons.
  • Mappings with dihedral symmetry.
  • An illustration of chaos.
  • Numerology.
  • Geometry of the complex numbers.
  • Dihedral symmetry 134.
  • The dihedral logistic mappings.
  • Symmetry creation in the plane
  • 6.
  • Chaos.
  • Quilts.
  • Repeating patterns.
  • The square lattice.
  • Seams.
  • Internal symmetry.
  • The hexagonal lattice.
  • Less internal symmetry
  • 7.
  • Symmetric Fractals.
  • Fractals.
  • Determinism.
  • The Sierpinski triangle.
  • Probability and random numbers.
  • Probability one.
  • Sierpinski polygons.
  • Affine linear maps.
  • Contractions.
  • Iterated function systems and fractals.
  • Strict fractals and overlaid fractals.
  • Two basic theorems.
  • The Sierpinski square.
  • Sensitive dependence.
  • Symmetric fractals.
  • The Sierpinski triangle is symmetric.
  • Structure on all scales.
  • More examples
  • Appendix A Picture Parameters
  • Appendix B Basic Programs
  • Appendix C Icon Mappings
  • Appendix D Planar Lattices
  • Rules.
  • Pixel rules.
Control code
ocm25675522
Dimensions
29 cm
Extent
xii, 218 pages
Isbn
9780198536895
Lccn
92014023
Media category
unmediated
Media MARC source
rdamedia
Media type code
n
Other physical details
color illustrations
System control number
(OCoLC)25675522

Library Locations

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      41.501174 -81.69177499999999
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