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 circlDelectable 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 mintelligible 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 butLaconic 发表于 2025-3-30 22:52:53
http://reply.papertrans.cn/23/2239/223870/223870_54.png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 sodainty 发表于 2025-3-31 06:21:27
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