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 t...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.展开更多
This paper presents a new generating criterion for self-similar geometric fractalsDynamic Traversal Criterion (DTC) and the principle to practice it. According to the principle,symbol shifting technique is put forward...This paper presents a new generating criterion for self-similar geometric fractalsDynamic Traversal Criterion (DTC) and the principle to practice it. According to the principle,symbol shifting technique is put forward which can control the traversal symbols dynamically in recursive procession. The Dynamic Traversal Criterion inherits the mechanism for generating self-similar fractals from traditional way and creates more fractal images from one initiator and generator than Static traversal strategy.展开更多
文摘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.
文摘This paper presents a new generating criterion for self-similar geometric fractalsDynamic Traversal Criterion (DTC) and the principle to practice it. According to the principle,symbol shifting technique is put forward which can control the traversal symbols dynamically in recursive procession. The Dynamic Traversal Criterion inherits the mechanism for generating self-similar fractals from traditional way and creates more fractal images from one initiator and generator than Static traversal strategy.
