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Applied Mathematics and Mechanics (English Edition) ›› 1990, Vol. 11 ›› Issue (11): 1075-1079.

• 论文 • 上一篇    下一篇

FRACTAL GEOMETRY DERIVED FROM GEOMETRIC INVERSION

张永平, 谢和平   

  1. Dept, of Math, and Mech.China University of Miningand Technology, Xuzhou
  • 收稿日期:1989-01-13 出版日期:1990-11-18 发布日期:1990-11-18

FRACTAL GEOMETRY DERIVED FROM GEOMETRIC INVERSION

Zhang Yong-ping, Xie He-ping   

  1. Dept, of Math, and Mech.China University of Miningand Technology, Xuzhou
  • Received:1989-01-13 Online:1990-11-18 Published:1990-11-18

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摘要： 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.

关键词: geometric inversion, self-inverse fractal, fractal osculation, fractal envelope

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.

Key words: geometric inversion, self-inverse fractal, fractal osculation, fractal envelope

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