由几何反演导出的分形几何

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Fractal Geometry Derived from Geometric Inversion

摘要: 本文介绍了由几何反演而导出的自反分形概念.构造了一个对称的,分叉自反分形曲线和一个自反分形尘集.推广了分形密切的概念而且提出了一个新的概念——分形包络.最后给出了“肥皂”和“鸡蛋”的两个自反分形的实例.
- 几何反演 /
- 自反分形 /
- 分形密切 /
- 分形包络
Abstract: In this paper, the conception of fractal geometry derived from geometric inversion is introduced.A ramified self-inverse fractal with symmetry and a self-inverse fractal dust set are constructed.The authors extend the conception of the fractal osculation and propose a new notion——fractal envelope.Finally, two examples of self-inverse fractal (soap and egg) are given.
- geometric inversion /
- self-inverse fractal /
- fractal osculation /
- fractal envelope

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