Descartes Circle Theorem, Steiner Porism, and Spherical Designs

DOI10.1080/00029890.2020.1690909zbMath1433.51003arXiv1811.08030OpenAlexW3008922318MaRDI QIDQ5217610

Richard Evan Schwartz, Sergei Tabachnikov

Publication date: 25 February 2020

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08030

zbMATH Keywords

spherical designsSteiner chains

Mathematics Subject Classification ID

Hyperbolic and elliptic geometries (general) and generalizations (51M10) Other designs, configurations (05B30) Steiner systems in finite geometry (51E10)

Related Items (1)

On the Complex Descartes Circle Theorem

Cites Work

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• A survey on spherical designs and algebraic combinatorics on spheres
• Sophus Lie and Felix Klein: the Erlangen Program and its impact in mathematics and physics
• Variations on Steiner's porism
• Integral Apollonian Packings
• Newton's Identities
• Beyond the Descartes Circle Theorem
• From Apollonius to Zaremba: Local-global phenomena in thin orbits
• Counting problems in Apollonian packings
• Sets of Equally Inclined Spheres

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