Symmetry in chaos : a search for pattern in mathematics, art and nature
著者
書誌事項
Symmetry in chaos : a search for pattern in mathematics, art and nature
Oxford University Press, 1992
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注記
Includes bibliographical references (p. [216]) and index
内容説明・目次
内容説明
This volume illustrates the varied pictures that may be produced when the seemingly contradictory ideas of symmetry and chaos are combined. Unlike the more modernistic fractal art, the symmetric chaos pictures have a classical, familiar feel. To emphasize this point, many of the designs are accompanied by contrasting pictures from architecture, art and nature. The book is written in layman's terms, and attempts to explain, in an elementary fashion, the mathematical ideas on which the symmetric chaos pictures are based. A number examples of symmetric chaos in the real world are presented, including engineering problems, "chaotic trains" and the pattern formation in fluid turbulence.
目次
- Planar symmetries
- patterns everywhere
- chaos in symmetry creation
- symmetric icons
- quilts
- symmetric fractals
- picture parameters
- basic programs
- icon mappings.
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