| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5771483 | Expositiones Mathematicae | 2016 | 36 Pages |
Abstract
The curvatures of the circles in integral Apollonian circle packings, named for Apollonius of Perga (262-190 BC), form an infinite collection of integers whose Diophantine properties have recently seen a surge in interest. Here, we give a new description of Apollonian circle packings built upon the study of the collection of bases of Z[i]2, inspired by, and intimately related to, the 'sensual quadratic form' of Conway.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Katherine E. Stange,