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DIMENSIONS OF INTERSECTIONS OF THE SIERPINSKI CARPET WITH LINES OF RATIONAL SLOPES

Published online by Cambridge University Press:  17 May 2007

Qing-Hui Liu ,
Li-Feng Xi  and
Yan-Fen Zhao
Qing-Hui Liu
Affiliation:
Department of Computer Science and Engineering, Beijing Institute of Technology, 100080, Beijing, China (qhliu@bit.edu.cn)
Li-Feng Xi
Affiliation:
Institute of Mathematics, Zhejiang Wanli University, Ningbo, 315100, Zhejiang, China (xilifengningbo@yahoo.com)
Yan-Fen Zhao
Affiliation:
Department of Mathematics, Wuhan University, Wuhan, 430062, Hubei, China (wangzhaoyanfen@hotmail.com)
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Abstract

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This paper computes the Box and Hausdorff dimensions of the intersections of the Sierpinski carpet with planar lines of rational slopes.

Keywords

Primary 28A80fractalSierpinski carpetdimensionergodic theory
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 50 , Issue 2 , June 2007 , pp. 411 - 427
Copyright
Copyright © Edinburgh Mathematical Society 2007