| 一个与其平移有Cantor集交的平面自仿铺砖 |
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| 引用本文： | 江涛,黄舟,张娜娜,段淑娟,柳旦,邓大文.一个与其平移有Cantor集交的平面自仿铺砖[J].湘潭大学自然科学学报,2011,33(1):7-10. |
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| 作者姓名： | 江涛 黄舟 张娜娜 段淑娟 柳旦 邓大文 |
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| 作者单位： | 湘潭大学数学与计算科学学院;郑州轻工业学院数学与信息科学系; |
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| 摘 要： | 给出一个平面自仿铺砖，虽然在它生成的自仿铺砖中，它只有边邻居和点邻居，但它仍与自己的某些平移有Cantor集交. 这显示Cantor集交在这类分形集合中的普遍性.
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| 关 键 词： | 自仿铺砖 Cantor集 |
A Planar Self-Affine Tile with Cantor Set Intersections with Its Translates |
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| JIANG Tao,HUANG Zhou,ZHANG Na-na,DUAN Shu-juan,LIU Dan,DENG Da-wen.A Planar Self-Affine Tile with Cantor Set Intersections with Its Translates[J].Natural Science Journal of Xiangtan University,2011,33(1):7-10. |
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| Authors: | JIANG Tao HUANG Zhou ZHANG Na-na DUAN Shu-juan LIU Dan DENG Da-wen |
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| Institution: | JIANG Tao1,HUANG Zhou1,ZHANG Na-na1,DUAN Shu-juan2,LIU Dan1,DENG Da-wen1(1.School of Mathematics and Computational Sciences,Xiangtan University,Xiangtan 411105 China,2.Mathematics and Information Science Department,Zhengzhou University of Light Industry,Zhengzhou 450002 China) |
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| Abstract: | We give a planar self-affine tile that intersects some of its translates in Cantor sets, even though in the tiling it generates, it has only vertex and edge neighbors. This suggests that Cantor set intersection is a universal phenomenon among self-affine tiles. |
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| Keywords: | self-affine tile Cantor set |
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