Layered circle packings

نویسندگان

  • David Dennis
  • G. Brock Williams
چکیده

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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عنوان ژورنال:
  • Int. J. Math. Mathematical Sciences

دوره 2005  شماره 

صفحات  -

تاریخ انتشار 2005