Layered circle packings | Zendy

David Dennis | Zendy; G. Brock Williams | Zendy

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Layered circle packings

Author(s) -

David Dennis,

G. Brock Williams

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.2429

Subject(s) - mathematics , triangulation , combinatorics , sequence (biology) , bounded function , euclidean geometry , circle packing , plane (geometry) , degree (music) , type (biology) , geometry , mathematical analysis , ecology , genetics , physics , acoustics , biology

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}

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