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On the Densest Packing of Spheres in a Cube

Published online by Cambridge University Press:  20 November 2018

J. Schaer
J. Schaer*
Affiliation:
University of Alberta, Calgary
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How many spheres of given diameter can be packed in a cube of given size? Or: What is the maximum diameter of k identical spheres if they can be packed in a cube of given size? These questions are obviously equivalent to the following problem:

Let d(Pi, Pj) denote the distance between the points Pi and Pj, and Γk the set of all configurations of k points Pi (1 ≤ i < j ≤ k) in a closed unit cube C.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 9 , Issue 3 , August 1966 , pp. 265 - 270
Copyright
Copyright © Canadian Mathematical Society 1966

References

1. Schaer, J., The densest packing of nine circles in a square.Google Scholar