| 方型Koch曲线的定义,分维及性质 |
| |
| 引用本文： | 乔锐智.方型Koch曲线的定义,分维及性质[J].西北师范大学学报,1993,29(4):5-9. |
| |
| 作者姓名： | 乔锐智 |
| |
| 作者单位： | 西北师范大学数学系 |
| |
| 摘 要： | 文中定义了基本方型Koch曲线和方型Koch曲线,计算了它们的分维(相似性维数),证明了方型Koch曲线的分维集在区间〔1,2〕中稠密。这样就可用方型Koch曲线来研究和描述任意分形曲线的某些性质(如曲线的复杂程度)。
|
| 关 键 词： | 分维 Koch曲线 方型Koch 分形几何 |
The Definitions, Fractional Dimensions and Properties of the Square Koch Curves |
| |
| Qiao Ruizhi.The Definitions, Fractional Dimensions and Properties of the Square Koch Curves[J].Journal of Northwest Normal University Natural Science (Bimonthly),1993,29(4):5-9. |
| |
| Authors: | Qiao Ruizhi |
| |
| Affiliation: | Department of Mathematics |
| |
| Abstract: | The paper definited the fundamental square Koch curves and the square Koch curves, and calculated their fractional dimension (similar dimensions) and proved that the square Koch curves are dense everywhere in the interval 1,2]. So we can use the square Koch curves to consider and describe some properties of any fractional curve (for exemple, the complexity of curves). |
| |
| Keywords: | fractional form fractional dimension fundamental square Koch curves square Koch curves dense everywhere |
| 本文献已被 CNKI 维普 等数据库收录！ |
|
