Illustration of a columnar structure assembled by golf balls.
Sphere packing in a cylinder is a three-dimensional packing problem with the objective of packing a given number of identical spheres inside a cylinder of specified diameter and length. For cylinders with diameters on the same order of magnitude as the spheres, such packings result in what are called columnar structures.
These problems are studied extensively in the context of biology, nanoscience, materials science, and so forth due to the analogous assembly of small particles (like cells and atoms) into cylindrical crystalline structures.
The book "Columnar Structures of Spheres: Fundamentals and Applications"[1] serves as a notable contributions to this field of study. Authored by Winkelmann and Chan, the book reviews theoretical foundations and practical applications of densely packed spheres within cylindrical confinements.
^Chan, Jens Winkelmann, Ho-Kei (2023-03-31). Columnar Structures of Spheres: Fundamentals and Applications. New York: Jenny Stanford Publishing. doi:10.1201/9780429092114. ISBN 978-0-429-09211-4.{{cite book}}: CS1 maint: multiple names: authors list (link)
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