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Computer-generated
materials such as sphere packings are prototype structures
that capture key attributes of real materials. While these
structures sacrifice topological complexity, this
sacrifice is offset by the ability to rapidly generate
materials with arbitrary and widely varying properties. An
added advantage is the ability to work with
orders-of-magnitude larger systems than with voxelized
images.
For sphere packings, a modified Delaunay tessellation
(MDT) algorithm is used: the Delaunay tessellation maps
out a network of interconnected pores. Certain
tetrahedrons are then merged together to correct for local
topology and to obtain a distribution of pore coordination
numbers. The parameters describing MDT networks are exact,
and the algorithm can be used on packings composed of
hundreds of thousands of spheres.
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