Analogs of Steiner's porism and Soddy's hexlet in higher dimensions via spherical codes

DOI10.1007/s00013-018-1237-2zbMath1406.52038arXiv1801.08278OpenAlexW2784598498MaRDI QIDQ1791629

Oleg R. Musin

Publication date: 10 October 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.08278

zbMATH Keywords

spherical codeSoddy's hexletkissing arrangementSteiner's porism

Mathematics Subject Classification ID

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

Related Items (1)

Generalization of Steiner's porism via Poncelet's theorem

Cites Work

• Apollonian ball packings and stacked polytopes
• The kissing number in four dimensions
• Universally optimal distribution of points on spheres
• A survey on the kissing numbers
• The Bowl of Integers and the Hexlet
• Gems of Geometry
• Representing graphs by disks and balls (a survey of recognition-complexity results)
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