## A random walk through fractal dimensionsFractal geometry is revolutionizing the descriptive mathematics of applied materials systems. Rather than presenting a mathematical treatise, Brian Kaye demonstrates the power of fractal geometry in describing materials ranging from Swiss cheese to pyrolytic graphite. Written from a practical point of view, the author assiduously avoids the use of equations while introducing the reader to numerous interesting and challenging problems in subject areas ranging from geography to fine particle science. The second edition of this successful book provides up-to-date literature coverage of the use of fractal geometry in all areas of science. From reviews of the first edition: '...no stone is left unturned in the quest for applications of fractal geometry to fine particle problems....This book should provide hours of enjoyable reading to those wishing to become acquainted with the ideas of fractal geometry as applied to practical materials problems.' MRS Bulletin |

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### Contents

A Starting Point for the Randomwalk | 1 |

References | 53 |

References | 124 |

Copyright | |

15 other sections not shown

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aaa aaa aerosol agglomerate Aggregation Apollonian gasket B.B. Mandelbrot B.H. Kaye Brownian motion Cantorian dust carbonblack profile centre Chapter Characterization chemical cluster coastline crack created crystals curve dataline dendritic crystals deposited described diffraction pattern dimensional discussion dispersed distribution droplets drunk dust fineparticles energy exploration fibres filter fluid fractal boundary fractal dimension fractal geometry fractal structure fractal systems fracture fragments fumed grains graph growth holes infinite number Koch,s triadic island lattice Laurentian University look Mandelbrot Mandelbrot,s book material mathematical measured Menger sponge metal mixture molecules moving paint film Particle percolation perimeter estimate photograph Phys physical pigment pixel polygon powder probability problem profilometer random number table randomwalk Reproduced by permission Richardson plot rock ruggedness scientists shown in Figure Sierpinski carpet Sierpinski fractal simulated spheres structural fractal structured walk technique surface area theory titanium dioxide uranium dioxide word