Article ID Journal Published Year Pages File Type
5771483 Expositiones Mathematicae 2016 36 Pages PDF
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
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