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The Computational Beauty of Nature: Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation

por Gary William Flake

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In this book, Gary Williams Flake develops in depth the simple ideas that recurrent rules can produce rich and complicated behaviours. Distinguishing agents (such as molecules, cells, animals, and species) from their interactions (like chemical reactions, immune system responses, sexual reproduction and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems and adaptation.… (más)

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I believe I thumbed through this book in the 1990s, enjoyed the diagrams, and took it back to the library, satisfied that now I knew something about fractals.. (

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mykl-s | Jun 4, 2023 |

I feel a strange draw towards two poles. I love the highly technial man-made achievements and I love the completely unspoiled "nature of nature". This book sythesizes the two extremes beautifully. As our computers push the envelope of mathematics, we are better able to sythesize and understand the structure and appearance of natural things. This book added to my appreciation of nature by showing me the level of computation required to simulate it. At the same time, it added to my appreciation of science by tying it to the emotional response that I feel when I see beauty in nature.

Very little of this is really share-able in a high school classroom. The kids love the fractals and this book helps explain the practical applications of fractals. But fractals weren't even in the CA teaching standards in the first place, so it's all kindof extra-curricular.

But, it's a beautiful book. Beautiful in the way that "Eternal Golden Braid" was beautiful. And much more concise. (

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mobill76 | Apr 22, 2014 |

http://bactra.org/reviews/computational-beauty-of-nature/ (

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cshalizi | Aug 7, 2007 |

difficult, but excellent publication (

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robertg69 | Dec 30, 2006 |

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The scientist does not study nature because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, and if nature were not worth knowing, life would not be worth living. Of course I do not here speak of that beauty that strikes the senses, the beauty of qualitiesand appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmonious order of the parts, and which a pure intelligence can grasp.
—Henri Poincaré

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A variation on an old joke goes as follows:Engineers study interesting real-world problems but fudge their results. Mathematicians get exact results but study only toy problems. But computer scientists, being neither engineers nor mathematicans, study toy problems and fudge their results.

Reductionism is the idea that a system can be understood by examining its individual parts.

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In this book, Gary Williams Flake develops in depth the simple ideas that recurrent rules can produce rich and complicated behaviours. Distinguishing agents (such as molecules, cells, animals, and species) from their interactions (like chemical reactions, immune system responses, sexual reproduction and evolution), Flake argues that it is the computational properties of interactions that account for much of what we think of as beautiful and interesting. From this basic thesis, Flake explores what he considers to be today's four most interesting computational topics: fractals, chaos, complex systems and adaptation.

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