重叠 发表于 2025-3-30 09:51:51

Length, Area and Dimension: Measuring Complexity and Scaling Properties,nd; and on the other, the measurement of patterns and forms. The incommensurability of the diagonal of a square was initially a problem of measuring length but soon moved to the very theoretical level of introducing irrational numbers. Attempts to compute the length of the circumference of the circl

Delectable 发表于 2025-3-30 15:52:44

Encoding Images by Simple Transformations,rpinski gasket; and we have argued that there are many fractals in natural structures and patterns, such as coastlines, blood vessel systems, and cauliflowers. We have discussed features, such as self-similarity, scaling properties, and fractal dimensions shared by those natural structures and the m

intelligible 发表于 2025-3-30 20:18:07

Recursive Structures: Growing of Fractals and Plants, been mainly to provide certain counterexamples, for example, showing that there are curves that go through all points in a square. Today a different point of view has emerged due to the ground-breaking achievements of Mandelbrot. Those strange creations from the turn of the century are anything but

Laconic 发表于 2025-3-30 22:52:53

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残暴 发表于 2025-3-31 02:45:00

Irregular Shapes: Randomness in Fractal Constructions, based on the survival of the fittest. In many plants and also organs of animals, this has led to fractal branching structures. For example, in a tree the branching structure allows the capture of a maximum amount of sun light by the leaves; the blood vessel system in a lung is similarly branched so

dainty 发表于 2025-3-31 06:21:27

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查看完整版本: Titlebook: Chaos and Fractals; New Frontiers of Sci Heinz-Otto Peitgen,Hartmut Jürgens,Dietmar Saupe Textbook 19921st edition Springer-Verlag New York