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Could someone help me understand what is meant by hierarchy?

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tugni925

Mechanical
Sep 14, 2020
107
I am trying to understand what is meant by hierarchy in microstructures; in a paper this figure and explanation is given:

It says the figure on the right is the second order hierarchical version of the figure on the left:

1_ef3dqy.png


In another paper it was defined as:

"The hierarchical microstructures can be defined as an ordered structure with n levels of microscopic length scales. For n = 0, the materials are isotropic at microscopic length scales, and n = 1 could represent the materials with conventional microphase-separated structures such as classical lamellar, cylindrical, and spherical phases [6]. The hierarchical microstructures are beyond these structures, exhibiting more than one length-scale structure (n ≥ 2), such as lamellae-in-lamella and lamellae-in-cylinder."

I have read it over and over again now, but it does not make sense in my head. Does anyone have an alternate explanation of what is meant by hierarchy?
 
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Nesting of similar structures maybe? Picture shows a box on the left and a box in a box on the right?
 
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