Improved bounds for the disk-packing constant

DOI10.1007/BF01838194zbMath0255.52006OpenAlexW2020652867WikidataQ29301989 ScholiaQ29301989MaRDI QIDQ2558679

David W. Boyd

Publication date: 1973

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136329

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17)

Related Items (16)

The Laplacian for domains in hyperbolic space and limit sets of Kleinian groups ⋮ Porous surfaces ⋮ Drawing Limit Sets of Kleinian Groups Using Finite State Automata ⋮ Apollonian circle packings: Number theory ⋮ Arithmetic and dynamics on varieties of Markoff type ⋮ The residual set dimension of a generalized Apollonian packing ⋮ Epsilon entropy and the packing of balls in Euclidean space ⋮ On the exponential growth of norms in semigroups of linear endomorphisms and the Hausdorff dimension of attractors of projective iterated function systems ⋮ The Apollonian decay of beer foam bubble size distribution and the lattices of Young diagrams and their correlated mixing functions ⋮ Minimum energy broadcast on rectangular grid wireless networks ⋮ Sizing up a solid packing ⋮ The Interval of Disk Packing Exponents ⋮ A Conjecture on the Hausdorff Dimension of Attractors of Real Self-Projective Iterated Function Systems ⋮ An Algorithm for Generating the Sphere Coordinates in a Three-Dimensional Osculatory Packing ⋮ An asymptotic formula for integer points on Markoff-Hurwitz varieties ⋮ The residual set dimension of the Apollonian packing

Cites Work

• The disk-packing constant
• Inequalities for Symmetric Functions and Hermitian Matrices
• The Apollonian Packing of Circles
• Open Disk Packings of a Disk
• On the Solid-Packing Constant for Circles
• Lower bounds for the disk packing constant

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