Beyond the descartes circle theorem

American Mathematical Monthly

Volumn 109, Issue 4, 2002, Pages 338-361

  Lagarias, Jeffrey C ^a   Mallows, Colin L ^a   Wilks, Allan R ^a  

^a AT AND T LABS RESEARCH   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036011581     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.2307/2695498     Document Type: Article

References (37)

1. Geometric sequences of discs in the Apollonian packing
2. Vectorial inversive and non-Euclidean geometry
3. Properties of circles in mutual contact
4. The osculatory packing of a three-dimensional sphere
5. The problem of Apollonius
6. Loxodromic sequences of tangent spheres
7. Numerical distances among the spheres in a loxodromic sequence
8. The hexlet
9. Apollonian circle packings: Number theory
10. The Apollonian packing of circles
11. The Apollonian packing of circles
12. On systems of circles and spheres
13. Sets of equally inclined spheres
14. On a theorem in geometry
15. Hyperbolic geometry on a hyperboloid
16. The kiss precise
17. Apollonian tiling, the Lorentz group, and regular trees
18. Einige geometrische Betrachtungen
19. Stigler's law of eponymy
20. Four proofs of a generalization of the Descartes circle theorem
21. Inversive geometry