16 <i>n</i> <sup>2</sup> + 2 revealed

I show that a neat expression emerges for the number of spheres in each shell of an octahedron composed of close packed spheres, and that from this expression we can compute the value of the packing density for an infinite array of such spheres.

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Publication Details

Journal
The Mathematical Gazette
Published
2025-10-15
DOI
https://doi.org/10.1017/mag.2025.10127
Primary Topic
Atomic and Subatomic Physics Research
Type
article
Field-Weighted Citation Impact
0.00
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article

16 n 2 + 2 revealed

Philip W. Kuchel
The Mathematical Gazette
Atomic and Subatomic Physics Research
article

16 n 2 + 2 revealed

Philip W. Kuchel
article en

Abstract

I show that a neat expression emerges for the number of spheres in each shell of an octahedron composed of close packed spheres, and that from this expression we can compute the value of the packing density for an infinite array of such spheres.

The Mathematical GazetteVol. 109(576)
The University of Sydney (AU)
Openalex Percentile: Top 77%
Atomic and Subatomic Physics Research
DOISourceOpenAlex
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16 <i>n</i> <sup>2</sup> + 2 revealed — Philip W. Kuchel · The Mathematical Gazette (2025) | TGRS Research Map | TGRS