Compact packings of the space with two sizes of spheres

2018/12/10 by Fernique, Thomas · 2 citations
#05B40 #11H31 #52C17 #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1812.03850

Abstract

Compact packings are specific packings of spheres which can be seen as tilings and are good candidates to maximize the density. We show that the compact packings of the Euclidean space with two sizes of spheres are exactly those obtained by filling with smaller spheres the octahedral holes of a close-packing of equal spheres.

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