What is a hexagonal array and how is it transferred into different substrates?

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I was reading a paper, and this term came up a lot. I have been searching for couple hours, and still cannot find a good source to explain this term.

Anyone has any idea?
A practical approach of transferring a hexagonal array of nanosized pores produced in porous alumina into silicon and other substrates is discussed.
 

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Here are photos of ordered hexagonal (more or less) nanopore arrays

http://pubs.acs.org/doi/abs/10.1021/nn7004415"[/URL]

http://www.nature.com/nature/journal/v412/n6843/fig_tab/412169a0_F1.html"
 
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hi, thank you for your help. now i understood.