Higher dimensional Apollonian packings, revisited

DOI10.1007/s10711-017-0280-7zbMath1409.52021OpenAlexW2754981415MaRDI QIDQ1663773

Arthur Baragar

Publication date: 23 August 2018

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-017-0280-7

zbMATH Keywords

latticecircle packing\(K3\) surfaceApollonian packingample conesphere packingApolloniushexletSoddy

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Lattices (06B99) Circle packings and discrete conformal geometry (52C26)

Related Items (3)

Enriques surfaces and an Apollonian packing in eight dimensions ⋮ The local-global principle for integral Soddy sphere packings ⋮ Apollonian packings in seven and eight dimensions

Cites Work

• Unnamed Item
• Unnamed Item
• A generalization of Apollonian packing of circles
• Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups
• Geometry II: spaces of constant curvature. Transl. from the Russian by V. Minachin
• The cone of curves of a K3 surface
• Conformal geometry of discrete groups and manifolds
• On K3 surfaces with large Picard number
• A new class of infinite sphere packings
• Orbital Counting of Curves on Algebraic Surfaces and Sphere Packings
• The Ample Cone for a K3 Surface
• Foundations of Hyperbolic Manifolds
• The Sequence of Radii of the Apollonian Packing
• Hausdorff dimension and conformal dynamics, III: Computation of dimension
• The Osculatory Packing of a Three Dimensional Sphere
• The Bowl of Integers and the Hexlet

This page was built for publication: Higher dimensional Apollonian packings, revisited