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2016 ; 6
(ä): 23455
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How to describe disordered structures
#MMPMID27064833
Nishio K
; Miyazaki T
Sci Rep
2016[Apr]; 6
(ä): 23455
PMID27064833
show ga
Disordered structures such as liquids and glasses, grains and foams, galaxies,
etc. are often represented as polyhedral tilings. Characterizing the associated
polyhedral tiling is a promising strategy to understand the disordered structure.
However, since a variety of polyhedra are arranged in complex ways, it is
challenging to describe what polyhedra are tiled in what way. Here, to solve this
problem, we create the theory of how the polyhedra are tiled. We first formulate
an algorithm to convert a polyhedron into a codeword that instructs how to
construct the polyhedron from its building-block polygons. By generalizing the
method to polyhedral tilings, we describe the arrangements of polyhedra. Our
theory allows us to characterize polyhedral tilings, and thereby paves the way to
study from short- to long-range order of disordered structures in a systematic
way.