Packing regular triplets of circles on a sphere

DOI10.1098/rspa.2005.1464zbMath1206.52015OpenAlexW2111699940MaRDI QIDQ5427626

S. Kabai, Patrick W. Fowler, Tibor Tarnai

Publication date: 21 November 2007

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

Full work available at URL: https://doi.org/10.1098/rspa.2005.1464

zbMATH Keywords

symmetryoptimizationconstrained Tammes problemrigidity of packingspherical circle packingtriangle compounds

Mathematics Subject Classification ID

Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Circle packings and discrete conformal geometry (52C26)

Related Items (2)

Packing of twinned circles on a sphere ⋮ Iterated dynamic neighborhood search for packing equal circles on a sphere

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Finite sets of points on a sphere with each nearest to five others
• Packing of regular tetrahedral quartets of circles on a sphere
• Transition from spherical circle packing to covering: geometrical analogues of chemical isomerization
• Arrangement of 23 points on a sphere (on a conjecture of R. M. Robinson)
• Multi-symmetric close packings of equal spheres on the spherical surface
• Packing Lines, Planes, etc.: Packings in Grassmannian Spaces
• From circle packing to covering on a sphere with antipodal constraints
• Distribution of points in the elliptic plane

This page was built for publication: Packing regular triplets of circles on a sphere