From circle packing to covering on a sphere with antipodal constraints

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 458, Issue 2025, 2002, Pages 2275-2287

  Fowler, P W ^a   Tarnai, T ^a   Gaspar Zs ^a  

^a UNIVERSITY OF EXETER   (United Kingdom)

Author keywords

Antipodal symmetry; Circle covering; Circle packing; Contact polyhedron; Intermediate problem; Optimization

Indexed keywords

EID: 57249104543     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.2002.0990     Document Type: Article

References (18)

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4. Distribution of points in the elliptic plane
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8. Transition from circle packing to covering on a sphere: The odd case of 13 circles
9. Some coverings of a spherical surface with equal circles
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13. Framework rearrangement in boranes and carboranes
14. The observed form of coated vesicles and a mathematical covering problem
15. Note on packings in Grassmannian space G(3, 1)
16. Covering a sphere by equal circles, and the rigidity of its graph
17. Spherical circle-coverings and geodesic domes