Layered circle packings

David Dennis, G. Brock Williams

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


Given a bounded sequence of integers {d0, d1, d2,...}, 6 ≤ dn ≤ M, there is an associated abstract triangulation created by building up layers of vertices so that vertices on the nth layer have degree dn. This triangulation can be realized via a circle packing which fills either the Euclidean or the hyperbolic plane. We give necessary and sufficient conditions to determine the type of the packing given the defining sequence {dn}.

Original languageEnglish
Pages (from-to)2429-2440
Number of pages12
JournalInternational Journal of Mathematics and Mathematical Sciences
Issue number15
StatePublished - Sep 29 2005


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