| Disk-like Tiles Derived from Complex Bases |
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| 引用本文： | Jun LUO School of Mathematics and Computing Science,Zhongshan University,Guangzhou 510275,P.R.China Zuo Ling ZHOU Lingnan College,Zhongshan University,Guangzhou 510275,P.R.China. Disk-like Tiles Derived from Complex Bases[J]. 应用数学学报(英文版), 2004, 0(4) |
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| 作者姓名： | Jun LUO School of Mathematics and Computing Science Zhongshan University Guangzhou 510275 P.R.China Zuo Ling ZHOU Lingnan College Zhongshan University Guangzhou 510275 P.R.China |
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| 作者单位： | Jun LUO School of Mathematics and Computing Science，Zhongshan University，Guangzhou 510275，P.R.China Zuo Ling ZHOU Lingnan College，Zhongshan University，Guangzhou 510275，P.R.China |
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| 基金项目： | The first author is supported by Youth Project of Tianyuan Foundation(10226031)，zhongshan University Promotion Foundation for Young Teachers (34100-1131206)，the second author is supported by National science Foundation(10041005)，Guangdong Provic |
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| 摘 要： | For each positive integer k,the radix representation of the complex numbers in the base-k i gives rise to a lattice self-affine tile T_k in the plane,which consists of all the complex numbersthat can be expressed in the form ∑_(j1) d_j(-k i)~(-j),where d_j∈{0,1,2,...,k~2}.We prove that T_kis homeomorphic to the closed unit disk {z∈C:|z|1} if and only if k≠2.
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Disk-like Tiles Derived from Complex Bases |
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| Jun LUO School of Mathematics and Computing Science,Zhongshan University,Guangzhou ,P.R.China Zuo Ling ZHOU Lingnan College,Zhongshan University,Guangzhou ,P.R.China. Disk-like Tiles Derived from Complex Bases[J]. Acta Mathematicae Applicatae Sinica, 2004, 0(4) |
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| Authors: | Jun LUO School of Mathematics Computing Science Zhongshan University Guangzhou P.R.China Zuo Ling ZHOU Lingnan College Zhongshan University Guangzhou P.R.China |
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| Affiliation: | Jun LUO School of Mathematics and Computing Science,Zhongshan University,Guangzhou 510275,P.R.China Zuo Ling ZHOU Lingnan College,Zhongshan University,Guangzhou 510275,P.R.China |
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| Abstract: | |
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| Keywords: | Representation Lattice self-affine tile Disk-like |
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