On double-\(k\)-systems of spheres

DOI10.1007/S00025-020-01246-9zbMath1443.51007OpenAlexW3041223168MaRDI QIDQ780036

Horst Martini, Hiroshi Maehara

Publication date: 14 July 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01246-9

zbMATH Keywords

inversiondouble-\(k\)-systems of spheresdouble-six-theorem for spheresoriented spheresSchläfli's double-six of lines

Mathematics Subject Classification ID

Elementary problems in Euclidean geometries (51M04) Euclidean geometries (general) and generalizations (51M05) Möbius geometries (51B10) Circle packings and discrete conformal geometry (52C26)

Cites Work

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• Bipartite sets of spheres and Casey-type theorems
• From line-systems to sphere-systems -- Schläfli's double six, Lie's line-sphere transformation, and Grace's theorem
• Circle geometry. An elementary introduction
• Tangent Spheres of Tetrahedra and a Theorem of Grace
• Geometry. I, II. Transl. from the French by M. Cole and S. Levy

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