From line-systems to sphere-systems -- Schläfli's double six, Lie's line-sphere transformation, and Grace's theorem

DOI10.1016/j.ejc.2008.10.002zbMath1167.52004OpenAlexW2084098115MaRDI QIDQ1024333

Hiroshi Maehara, Norihide Tokushige

Publication date: 17 June 2009

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ejc.2008.10.002

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (4)

An analytic proof of a theorem of Grace ⋮ Tangent Spheres of Tetrahedra and a Theorem of Grace ⋮ Bipartite sets of spheres and Casey-type theorems ⋮ On double-\(k\)-systems of spheres

Cites Work

• Helly-type theorems for spheres
• Ball-polyhedra
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: From line-systems to sphere-systems -- Schläfli's double six, Lie's line-sphere transformation, and Grace's theorem