Periodic planar disc packings

DOI10.1098/rsta.2012.0039zbMath1353.52010arXiv1201.5965OpenAlexW2079773109WikidataQ51127505 ScholiaQ51127505MaRDI QIDQ2955599

Robert Connelly, William C. Dickinson

Publication date: 13 January 2017

Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.5965

Mathematics Subject Classification ID

Packing and covering in (2) dimensions (aspects of discrete geometry) (52C15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Lattices and convex bodies in (2) dimensions (aspects of discrete geometry) (52C05)

Related Items (7)

Packings of equal disks in a square torus ⋮ High-order Contrast Bounds for Piezoelectric Constants of Two-phase Fibrous Composites ⋮ On the Optimal Conductivity of Packed Two-Dimensional Dispersed Composites ⋮ The isostatic conjecture ⋮ Jamming and percolation of k ²-mers on simple cubic lattices ⋮ Optimal packings of congruent circles on a square flat torus ⋮ Ball packings with periodic constraints

Cites Work

• Optimal packings of up to six equal circles on a triangular flat torus
• A linear programming algorithm to test for jamming in hard-sphere packings
• Optimal packings of up to five equal circles on a square flat torus
• Rigidity of packings
• Random tilings with quasicrystal order: transfer-matrix approach

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