2023-08-232023-08-232005Dennis, D., & Williams, G.B.. 2005. Layered circle packings. International Journal of Mathematics and Mathematical Sciences, 2005(15). https://doi.org/10.1155/IJMMS.2005.2429https://doi.org/10.1155/IJMMS.2005.2429https://hdl.handle.net/2346/95681cc-byGiven 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}. Copyright © 2005 Hindawi Publishing Corporation.engLayered circle packingsArticle