Optimal packings for filled rings of circles. (English) Zbl 07177869

A filled ring of circles is a finite family of congruent circles whose centres are placed on a larger core circle such that successive circles share a common tangent line. The authors study packings of circles of possibly different radii within a given circle that split into concentric filled rings of circles. The emphasis is on dense packings and their symmetry groups. Applications concern the construction of cables.


52C26 Circle packings and discrete conformal geometry
52C15 Packing and covering in \(2\) dimensions (aspects of discrete geometry)
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