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Layered circle packings

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  • David Dennis
  • G. Brock Williams

Abstract

Given a bounded sequence of integers { d 0 , d 1 , d 2 , … } , 6 ≤ d n ≤ M , there is an associated abstract triangulation created by building up layers of vertices so that vertices on the n th layer have degree d n . 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 { d n } .

Suggested Citation

  • David Dennis & G. Brock Williams, 2005. "Layered circle packings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2005, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:285264
    DOI: 10.1155/IJMMS.2005.2429
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