Fibonacci-like sequences of Apollonian circle packings
type: Item
instance of: scholarly article
zbMATH Open document ID: 1262.52015
author: Michael I. Ratliff
author: Janet M. McShane
publication date: 2012-05-10T00:00:00Z
Mathematics Subject Classification ID: 52C15
Mathematics Subject Classification ID: 52C26
Mathematics Subject Classification ID: 11H31
Mathematics Subject Classification ID: 11B39
zbMATH DE Number: 6032414
zbMATH Keywords: Apollonian circle packing
zbMATH Keywords: Fibonacci sequence
zbMATH Keywords: Descartes Circle Theorem
MaRDI profile type: Publication
title: Fibonacci-like sequences of Apollonian circle packings
published in: Congressus Numerantium
review text: The paper discusses a particular class of Apollonian circle packings in the plane featuring some interesting combinatorics (see [\textit{R. L. Graham} et al., J. Number Theory 100, No. 1, 1--45 (2003; Zbl 1026.11058)]). The packings are defined sequentially and give rise to a number of remarkable circle sequences.
reviewed by: Egon Schulte
description: scientific article; zbMATH DE number 6032414